linear_algebra.bilinear_map ⟷ Mathlib.LinearAlgebra.BilinearMap

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

@@ -3,7 +3,7 @@ Copyright (c) 2018 Kenny Lau. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Mario Carneiro
 -/
-import LinearAlgebra.Basic
+import Algebra.Module.Submodule.Ker
 
 #align_import linear_algebra.bilinear_map from "leanprover-community/mathlib"@"ee05e9ce1322178f0c12004eb93c00d2c8c00ed2"
 

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

@@ -3,7 +3,7 @@ Copyright (c) 2018 Kenny Lau. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Mario Carneiro
 -/
-import Mathbin.LinearAlgebra.Basic
+import LinearAlgebra.Basic
 
 #align_import linear_algebra.bilinear_map from "leanprover-community/mathlib"@"ee05e9ce1322178f0c12004eb93c00d2c8c00ed2"
 

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

@@ -485,7 +485,7 @@ variable (R M)
 #print LinearMap.lsmul /-
 /-- Scalar multiplication as a bilinear map `R → M → M`. -/
 def lsmul : R →ₗ[R] M →ₗ[R] M :=
-  mk₂ R (· • ·) add_smul (fun _ _ _ => mul_smul _ _ _) smul_add fun r s m => by
+  mk₂ R (· • ·) add_smul (fun _ _ _ => hMul_smul _ _ _) smul_add fun r s m => by
     simp only [smul_smul, smul_eq_mul, mul_comm]
 #align linear_map.lsmul LinearMap.lsmul
 -/

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

@@ -2,14 +2,11 @@
 Copyright (c) 2018 Kenny Lau. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Mario Carneiro
-
-! This file was ported from Lean 3 source module linear_algebra.bilinear_map
-! leanprover-community/mathlib commit ee05e9ce1322178f0c12004eb93c00d2c8c00ed2
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.LinearAlgebra.Basic
 
+#align_import linear_algebra.bilinear_map from "leanprover-community/mathlib"@"ee05e9ce1322178f0c12004eb93c00d2c8c00ed2"
+
 /-!
 # Basics on bilinear maps
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/2a0ce625dbb0ffbc7d1316597de0b25c1ec75303

@@ -458,7 +458,7 @@ theorem compl₁₂_inj {f₁ f₂ : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ} {g : Q
   by
   constructor <;> intro h
   · -- B₁.comp l r = B₂.comp l r → B₁ = B₂
-    ext (x y)
+    ext x y
     cases' hₗ x with x' hx; subst hx
     cases' hᵣ y with y' hy; subst hy
     convert LinearMap.congr_fun₂ h x' y'

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

@@ -78,6 +78,7 @@ variable {ρ₁₂ : R →+* R₂} {σ₁₂ : S →+* S₂}
 
 variable (ρ₁₂ σ₁₂)
 
+#print LinearMap.mk₂'ₛₗ /-
 /-- Create a bilinear map from a function that is semilinear in each component.
 See `mk₂'` and `mk₂` for the linear case. -/
 def mk₂'ₛₗ (f : M → N → P) (H1 : ∀ m₁ m₂ n, f (m₁ + m₂) n = f m₁ n + f m₂ n)
@@ -92,17 +93,21 @@ def mk₂'ₛₗ (f : M → N → P) (H1 : ∀ m₁ m₂ n, f (m₁ + m₂) n =
   map_add' m₁ m₂ := LinearMap.ext <| H1 m₁ m₂
   map_smul' c m := LinearMap.ext <| H2 c m
 #align linear_map.mk₂'ₛₗ LinearMap.mk₂'ₛₗ
+-/
 
 variable {ρ₁₂ σ₁₂}
 
+#print LinearMap.mk₂'ₛₗ_apply /-
 @[simp]
 theorem mk₂'ₛₗ_apply (f : M → N → P) {H1 H2 H3 H4} (m : M) (n : N) :
     (mk₂'ₛₗ ρ₁₂ σ₁₂ f H1 H2 H3 H4 : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) m n = f m n :=
   rfl
 #align linear_map.mk₂'ₛₗ_apply LinearMap.mk₂'ₛₗ_apply
+-/
 
 variable (R S)
 
+#print LinearMap.mk₂' /-
 /-- Create a bilinear map from a function that is linear in each component.
 See `mk₂` for the special case where both arguments come from modules over the same ring. -/
 def mk₂' (f : M → N → Pₗ) (H1 : ∀ m₁ m₂ n, f (m₁ + m₂) n = f m₁ n + f m₂ n)
@@ -111,22 +116,29 @@ def mk₂' (f : M → N → Pₗ) (H1 : ∀ m₁ m₂ n, f (m₁ + m₂) n = f m
     (H4 : ∀ (c : S) (m n), f m (c • n) = c • f m n) : M →ₗ[R] N →ₗ[S] Pₗ :=
   mk₂'ₛₗ (RingHom.id R) (RingHom.id S) f H1 H2 H3 H4
 #align linear_map.mk₂' LinearMap.mk₂'
+-/
 
 variable {R S}
 
+#print LinearMap.mk₂'_apply /-
 @[simp]
 theorem mk₂'_apply (f : M → N → Pₗ) {H1 H2 H3 H4} (m : M) (n : N) :
     (mk₂' R S f H1 H2 H3 H4 : M →ₗ[R] N →ₗ[S] Pₗ) m n = f m n :=
   rfl
 #align linear_map.mk₂'_apply LinearMap.mk₂'_apply
+-/
 
+#print LinearMap.ext₂ /-
 theorem ext₂ {f g : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P} (H : ∀ m n, f m n = g m n) : f = g :=
   LinearMap.ext fun m => LinearMap.ext fun n => H m n
 #align linear_map.ext₂ LinearMap.ext₂
+-/
 
+#print LinearMap.congr_fun₂ /-
 theorem congr_fun₂ {f g : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P} (h : f = g) (x y) : f x y = g x y :=
   LinearMap.congr_fun (LinearMap.congr_fun h x) y
 #align linear_map.congr_fun₂ LinearMap.congr_fun₂
+-/
 
 section
 
@@ -144,52 +156,72 @@ def flip (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) : N →ₛₗ[σ₁
 
 end
 
+#print LinearMap.flip_apply /-
 @[simp]
 theorem flip_apply (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (m : M) (n : N) : flip f n m = f m n :=
   rfl
 #align linear_map.flip_apply LinearMap.flip_apply
+-/
 
+#print LinearMap.flip_flip /-
 @[simp]
 theorem flip_flip [SMulCommClass R₂ S₂ P] (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) : f.flip.flip = f :=
   LinearMap.ext₂ fun x y => (f.flip.flip_apply _ _).trans (f.flip_apply _ _)
 #align linear_map.flip_flip LinearMap.flip_flip
+-/
 
 open scoped BigOperators
 
 variable {R}
 
+#print LinearMap.flip_inj /-
 theorem flip_inj {f g : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P} (H : flip f = flip g) : f = g :=
   ext₂ fun m n => show flip f n m = flip g n m by rw [H]
 #align linear_map.flip_inj LinearMap.flip_inj
+-/
 
+#print LinearMap.map_zero₂ /-
 theorem map_zero₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (y) : f 0 y = 0 :=
   (flip f y).map_zero
 #align linear_map.map_zero₂ LinearMap.map_zero₂
+-/
 
+#print LinearMap.map_neg₂ /-
 theorem map_neg₂ (f : M' →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P') (x y) : f (-x) y = -f x y :=
   (flip f y).map_neg _
 #align linear_map.map_neg₂ LinearMap.map_neg₂
+-/
 
+#print LinearMap.map_sub₂ /-
 theorem map_sub₂ (f : M' →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P') (x y z) : f (x - y) z = f x z - f y z :=
   (flip f z).map_sub _ _
 #align linear_map.map_sub₂ LinearMap.map_sub₂
+-/
 
+#print LinearMap.map_add₂ /-
 theorem map_add₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (x₁ x₂ y) : f (x₁ + x₂) y = f x₁ y + f x₂ y :=
   (flip f y).map_add _ _
 #align linear_map.map_add₂ LinearMap.map_add₂
+-/
 
+#print LinearMap.map_smul₂ /-
 theorem map_smul₂ (f : M₂ →ₗ[R] N₂ →ₛₗ[σ₁₂] P₂) (r : R) (x y) : f (r • x) y = r • f x y :=
   (flip f y).map_smul _ _
 #align linear_map.map_smul₂ LinearMap.map_smul₂
+-/
 
+#print LinearMap.map_smulₛₗ₂ /-
 theorem map_smulₛₗ₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (r : R) (x y) : f (r • x) y = ρ₁₂ r • f x y :=
   (flip f y).map_smulₛₗ _ _
 #align linear_map.map_smulₛₗ₂ LinearMap.map_smulₛₗ₂
+-/
 
+#print LinearMap.map_sum₂ /-
 theorem map_sum₂ {ι : Type _} (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (t : Finset ι) (x : ι → M) (y) :
     f (∑ i in t, x i) y = ∑ i in t, f (x i) y :=
   (flip f y).map_sum
 #align linear_map.map_sum₂ LinearMap.map_sum₂
+-/
 
 #print LinearMap.domRestrict₂ /-
 /-- Restricting a bilinear map in the second entry -/
@@ -202,10 +234,12 @@ def domRestrict₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (q : Subm
 #align linear_map.dom_restrict₂ LinearMap.domRestrict₂
 -/
 
+#print LinearMap.domRestrict₂_apply /-
 theorem domRestrict₂_apply (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (q : Submodule S N) (x : M) (y : q) :
     f.domRestrict₂ q x y = f x y :=
   rfl
 #align linear_map.dom_restrict₂_apply LinearMap.domRestrict₂_apply
+-/
 
 #print LinearMap.domRestrict₁₂ /-
 /-- Restricting a bilinear map in both components -/
@@ -215,10 +249,12 @@ def domRestrict₁₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (p : S
 #align linear_map.dom_restrict₁₂ LinearMap.domRestrict₁₂
 -/
 
+#print LinearMap.domRestrict₁₂_apply /-
 theorem domRestrict₁₂_apply (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (p : Submodule R M) (q : Submodule S N)
     (x : p) (y : q) : f.domRestrict₁₂ p q x y = f x y :=
   rfl
 #align linear_map.dom_restrict₁₂_apply LinearMap.domRestrict₁₂_apply
+-/
 
 end Semiring
 
@@ -250,6 +286,7 @@ variable [RingHomCompTriple σ₁₂ σ₂₃ σ₁₃] [RingHomCompTriple σ₄
 
 variable (R)
 
+#print LinearMap.mk₂ /-
 /-- Create a bilinear map from a function that is linear in each component.
 
 This is a shorthand for `mk₂'` for the common case when `R = S`. -/
@@ -259,12 +296,15 @@ def mk₂ (f : M → Nₗ → Pₗ) (H1 : ∀ m₁ m₂ n, f (m₁ + m₂) n = f
     (H4 : ∀ (c : R) (m n), f m (c • n) = c • f m n) : M →ₗ[R] Nₗ →ₗ[R] Pₗ :=
   mk₂' R R f H1 H2 H3 H4
 #align linear_map.mk₂ LinearMap.mk₂
+-/
 
+#print LinearMap.mk₂_apply /-
 @[simp]
 theorem mk₂_apply (f : M → Nₗ → Pₗ) {H1 H2 H3 H4} (m : M) (n : Nₗ) :
     (mk₂ R f H1 H2 H3 H4 : M →ₗ[R] Nₗ →ₗ[R] Pₗ) m n = f m n :=
   rfl
 #align linear_map.mk₂_apply LinearMap.mk₂_apply
+-/
 
 variable (R M N P)
 
@@ -283,10 +323,12 @@ variable {R M N P}
 
 variable (f : M →ₛₗ[σ₁₃] N →ₛₗ[σ₂₃] P)
 
+#print LinearMap.lflip_apply /-
 @[simp]
 theorem lflip_apply (m : M) (n : N) : lflip R M N P f n m = f m n :=
   rfl
 #align linear_map.lflip_apply LinearMap.lflip_apply
+-/
 
 variable (R Pₗ)
 
@@ -299,14 +341,18 @@ def lcomp (f : M →ₗ[R] Nₗ) : (Nₗ →ₗ[R] Pₗ) →ₗ[R] M →ₗ[R] P
 
 variable {R Pₗ}
 
+#print LinearMap.lcomp_apply /-
 @[simp]
 theorem lcomp_apply (f : M →ₗ[R] Nₗ) (g : Nₗ →ₗ[R] Pₗ) (x : M) : lcomp R Pₗ f g x = g (f x) :=
   rfl
 #align linear_map.lcomp_apply LinearMap.lcomp_apply
+-/
 
+#print LinearMap.lcomp_apply' /-
 theorem lcomp_apply' (f : M →ₗ[R] Nₗ) (g : Nₗ →ₗ[R] Pₗ) : lcomp R Pₗ f g = g ∘ₗ f :=
   rfl
 #align linear_map.lcomp_apply' LinearMap.lcomp_apply'
+-/
 
 variable (P σ₂₃)
 
@@ -320,15 +366,13 @@ def lcompₛₗ (f : M →ₛₗ[σ₁₂] N) : (N →ₛₗ[σ₂₃] P) →ₗ
 
 variable {P σ₂₃}
 
-include σ₁₃
-
+#print LinearMap.lcompₛₗ_apply /-
 @[simp]
 theorem lcompₛₗ_apply (f : M →ₛₗ[σ₁₂] N) (g : N →ₛₗ[σ₂₃] P) (x : M) :
     lcompₛₗ P σ₂₃ f g x = g (f x) :=
   rfl
 #align linear_map.lcompₛₗ_apply LinearMap.lcompₛₗ_apply
-
-omit σ₁₃
+-/
 
 variable (R M Nₗ Pₗ)
 
@@ -346,15 +390,19 @@ variable {R M Nₗ Pₗ}
 
 section
 
+#print LinearMap.llcomp_apply /-
 @[simp]
 theorem llcomp_apply (f : Nₗ →ₗ[R] Pₗ) (g : M →ₗ[R] Nₗ) (x : M) :
     llcomp R M Nₗ Pₗ f g x = f (g x) :=
   rfl
 #align linear_map.llcomp_apply LinearMap.llcomp_apply
+-/
 
+#print LinearMap.llcomp_apply' /-
 theorem llcomp_apply' (f : Nₗ →ₗ[R] Pₗ) (g : M →ₗ[R] Nₗ) : llcomp R M Nₗ Pₗ f g = f ∘ₗ g :=
   rfl
 #align linear_map.llcomp_apply' LinearMap.llcomp_apply'
+-/
 
 end
 
@@ -366,18 +414,18 @@ def compl₂ (g : Q →ₛₗ[σ₄₂] N) : M →ₛₗ[σ₁₃] Q →ₛₗ[
 #align linear_map.compl₂ LinearMap.compl₂
 -/
 
-include σ₄₃
-
+#print LinearMap.compl₂_apply /-
 @[simp]
 theorem compl₂_apply (g : Q →ₛₗ[σ₄₂] N) (m : M) (q : Q) : f.compl₂ g m q = f m (g q) :=
   rfl
 #align linear_map.compl₂_apply LinearMap.compl₂_apply
+-/
 
-omit σ₄₃
-
+#print LinearMap.compl₂_id /-
 @[simp]
 theorem compl₂_id : f.compl₂ LinearMap.id = f := by ext; rw [compl₂_apply, id_coe, id.def]
 #align linear_map.compl₂_id LinearMap.compl₂_id
+-/
 
 #print LinearMap.compl₁₂ /-
 /-- Composing linear maps `Q → M` and `Q' → N` with a bilinear map `M → N → P` to
@@ -388,17 +436,22 @@ def compl₁₂ (f : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ) (g : Qₗ →ₗ[R] M
 #align linear_map.compl₁₂ LinearMap.compl₁₂
 -/
 
+#print LinearMap.compl₁₂_apply /-
 @[simp]
 theorem compl₁₂_apply (f : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ) (g : Qₗ →ₗ[R] Mₗ) (g' : Qₗ' →ₗ[R] Nₗ) (x : Qₗ)
     (y : Qₗ') : f.compl₁₂ g g' x y = f (g x) (g' y) :=
   rfl
 #align linear_map.compl₁₂_apply LinearMap.compl₁₂_apply
+-/
 
+#print LinearMap.compl₁₂_id_id /-
 @[simp]
 theorem compl₁₂_id_id (f : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ) : f.compl₁₂ LinearMap.id LinearMap.id = f := by
   ext; simp_rw [compl₁₂_apply, id_coe, id.def]
 #align linear_map.compl₁₂_id_id LinearMap.compl₁₂_id_id
+-/
 
+#print LinearMap.compl₁₂_inj /-
 theorem compl₁₂_inj {f₁ f₂ : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ} {g : Qₗ →ₗ[R] Mₗ} {g' : Qₗ' →ₗ[R] Nₗ}
     (hₗ : Function.Surjective g) (hᵣ : Function.Surjective g') :
     f₁.compl₁₂ g g' = f₂.compl₁₂ g g' ↔ f₁ = f₂ :=
@@ -412,6 +465,7 @@ theorem compl₁₂_inj {f₁ f₂ : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ} {g : Q
   ·-- B₁ = B₂ → B₁.comp l r = B₂.comp l r
     subst h
 #align linear_map.compl₁₂_inj LinearMap.compl₁₂_inj
+-/
 
 #print LinearMap.compr₂ /-
 /-- Composing a linear map `P → Q` and a bilinear map `M → N → P` to
@@ -421,11 +475,13 @@ def compr₂ (f : M →ₗ[R] Nₗ →ₗ[R] Pₗ) (g : Pₗ →ₗ[R] Qₗ) : M
 #align linear_map.compr₂ LinearMap.compr₂
 -/
 
+#print LinearMap.compr₂_apply /-
 @[simp]
 theorem compr₂_apply (f : M →ₗ[R] Nₗ →ₗ[R] Pₗ) (g : Pₗ →ₗ[R] Qₗ) (m : M) (n : Nₗ) :
     f.compr₂ g m n = g (f m n) :=
   rfl
 #align linear_map.compr₂_apply LinearMap.compr₂_apply
+-/
 
 variable (R M)
 
@@ -439,10 +495,12 @@ def lsmul : R →ₗ[R] M →ₗ[R] M :=
 
 variable {R M}
 
+#print LinearMap.lsmul_apply /-
 @[simp]
 theorem lsmul_apply (r : R) (m : M) : lsmul R M r m = r • m :=
   rfl
 #align linear_map.lsmul_apply LinearMap.lsmul_apply
+-/
 
 end CommSemiring
 
@@ -460,14 +518,18 @@ variable [AddCommGroup M] [AddCommGroup N] [AddCommGroup P]
 
 variable [Module R M] [Module S N] [Module R₂ P] [Module S₂ P]
 
+#print LinearMap.lsmul_injective /-
 theorem lsmul_injective [NoZeroSMulDivisors R M] {x : R} (hx : x ≠ 0) :
     Function.Injective (lsmul R M x) :=
   smul_right_injective _ hx
 #align linear_map.lsmul_injective LinearMap.lsmul_injective
+-/
 
+#print LinearMap.ker_lsmul /-
 theorem ker_lsmul [NoZeroSMulDivisors R M] {a : R} (ha : a ≠ 0) : (LinearMap.lsmul R M a).ker = ⊥ :=
   LinearMap.ker_eq_bot_of_injective (LinearMap.lsmul_injective ha)
 #align linear_map.ker_lsmul LinearMap.ker_lsmul
+-/
 
 end AddCommGroup
 

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

@@ -154,7 +154,7 @@ theorem flip_flip [SMulCommClass R₂ S₂ P] (f : M →ₛₗ[ρ₁₂] N →
   LinearMap.ext₂ fun x y => (f.flip.flip_apply _ _).trans (f.flip_apply _ _)
 #align linear_map.flip_flip LinearMap.flip_flip
 
-open BigOperators
+open scoped BigOperators
 
 variable {R}
 

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

@@ -78,9 +78,6 @@ variable {ρ₁₂ : R →+* R₂} {σ₁₂ : S →+* S₂}
 
 variable (ρ₁₂ σ₁₂)
 
-/- warning: linear_map.mk₂'ₛₗ -> LinearMap.mk₂'ₛₗ is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.mk₂'ₛₗ LinearMap.mk₂'ₛₗₓ'. -/
 /-- Create a bilinear map from a function that is semilinear in each component.
 See `mk₂'` and `mk₂` for the linear case. -/
 def mk₂'ₛₗ (f : M → N → P) (H1 : ∀ m₁ m₂ n, f (m₁ + m₂) n = f m₁ n + f m₂ n)
@@ -98,9 +95,6 @@ def mk₂'ₛₗ (f : M → N → P) (H1 : ∀ m₁ m₂ n, f (m₁ + m₂) n =
 
 variable {ρ₁₂ σ₁₂}
 
-/- warning: linear_map.mk₂'ₛₗ_apply -> LinearMap.mk₂'ₛₗ_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.mk₂'ₛₗ_apply LinearMap.mk₂'ₛₗ_applyₓ'. -/
 @[simp]
 theorem mk₂'ₛₗ_apply (f : M → N → P) {H1 H2 H3 H4} (m : M) (n : N) :
     (mk₂'ₛₗ ρ₁₂ σ₁₂ f H1 H2 H3 H4 : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) m n = f m n :=
@@ -109,9 +103,6 @@ theorem mk₂'ₛₗ_apply (f : M → N → P) {H1 H2 H3 H4} (m : M) (n : N) :
 
 variable (R S)
 
-/- warning: linear_map.mk₂' -> LinearMap.mk₂' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.mk₂' LinearMap.mk₂'ₓ'. -/
 /-- Create a bilinear map from a function that is linear in each component.
 See `mk₂` for the special case where both arguments come from modules over the same ring. -/
 def mk₂' (f : M → N → Pₗ) (H1 : ∀ m₁ m₂ n, f (m₁ + m₂) n = f m₁ n + f m₂ n)
@@ -123,25 +114,16 @@ def mk₂' (f : M → N → Pₗ) (H1 : ∀ m₁ m₂ n, f (m₁ + m₂) n = f m
 
 variable {R S}
 
-/- warning: linear_map.mk₂'_apply -> LinearMap.mk₂'_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.mk₂'_apply LinearMap.mk₂'_applyₓ'. -/
 @[simp]
 theorem mk₂'_apply (f : M → N → Pₗ) {H1 H2 H3 H4} (m : M) (n : N) :
     (mk₂' R S f H1 H2 H3 H4 : M →ₗ[R] N →ₗ[S] Pₗ) m n = f m n :=
   rfl
 #align linear_map.mk₂'_apply LinearMap.mk₂'_apply
 
-/- warning: linear_map.ext₂ -> LinearMap.ext₂ is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.ext₂ LinearMap.ext₂ₓ'. -/
 theorem ext₂ {f g : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P} (H : ∀ m n, f m n = g m n) : f = g :=
   LinearMap.ext fun m => LinearMap.ext fun n => H m n
 #align linear_map.ext₂ LinearMap.ext₂
 
-/- warning: linear_map.congr_fun₂ -> LinearMap.congr_fun₂ is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.congr_fun₂ LinearMap.congr_fun₂ₓ'. -/
 theorem congr_fun₂ {f g : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P} (h : f = g) (x y) : f x y = g x y :=
   LinearMap.congr_fun (LinearMap.congr_fun h x) y
 #align linear_map.congr_fun₂ LinearMap.congr_fun₂
@@ -162,17 +144,11 @@ def flip (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) : N →ₛₗ[σ₁
 
 end
 
-/- warning: linear_map.flip_apply -> LinearMap.flip_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.flip_apply LinearMap.flip_applyₓ'. -/
 @[simp]
 theorem flip_apply (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (m : M) (n : N) : flip f n m = f m n :=
   rfl
 #align linear_map.flip_apply LinearMap.flip_apply
 
-/- warning: linear_map.flip_flip -> LinearMap.flip_flip is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.flip_flip LinearMap.flip_flipₓ'. -/
 @[simp]
 theorem flip_flip [SMulCommClass R₂ S₂ P] (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) : f.flip.flip = f :=
   LinearMap.ext₂ fun x y => (f.flip.flip_apply _ _).trans (f.flip_apply _ _)
@@ -182,58 +158,34 @@ open BigOperators
 
 variable {R}
 
-/- warning: linear_map.flip_inj -> LinearMap.flip_inj is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.flip_inj LinearMap.flip_injₓ'. -/
 theorem flip_inj {f g : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P} (H : flip f = flip g) : f = g :=
   ext₂ fun m n => show flip f n m = flip g n m by rw [H]
 #align linear_map.flip_inj LinearMap.flip_inj
 
-/- warning: linear_map.map_zero₂ -> LinearMap.map_zero₂ is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.map_zero₂ LinearMap.map_zero₂ₓ'. -/
 theorem map_zero₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (y) : f 0 y = 0 :=
   (flip f y).map_zero
 #align linear_map.map_zero₂ LinearMap.map_zero₂
 
-/- warning: linear_map.map_neg₂ -> LinearMap.map_neg₂ is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.map_neg₂ LinearMap.map_neg₂ₓ'. -/
 theorem map_neg₂ (f : M' →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P') (x y) : f (-x) y = -f x y :=
   (flip f y).map_neg _
 #align linear_map.map_neg₂ LinearMap.map_neg₂
 
-/- warning: linear_map.map_sub₂ -> LinearMap.map_sub₂ is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.map_sub₂ LinearMap.map_sub₂ₓ'. -/
 theorem map_sub₂ (f : M' →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P') (x y z) : f (x - y) z = f x z - f y z :=
   (flip f z).map_sub _ _
 #align linear_map.map_sub₂ LinearMap.map_sub₂
 
-/- warning: linear_map.map_add₂ -> LinearMap.map_add₂ is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.map_add₂ LinearMap.map_add₂ₓ'. -/
 theorem map_add₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (x₁ x₂ y) : f (x₁ + x₂) y = f x₁ y + f x₂ y :=
   (flip f y).map_add _ _
 #align linear_map.map_add₂ LinearMap.map_add₂
 
-/- warning: linear_map.map_smul₂ -> LinearMap.map_smul₂ is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.map_smul₂ LinearMap.map_smul₂ₓ'. -/
 theorem map_smul₂ (f : M₂ →ₗ[R] N₂ →ₛₗ[σ₁₂] P₂) (r : R) (x y) : f (r • x) y = r • f x y :=
   (flip f y).map_smul _ _
 #align linear_map.map_smul₂ LinearMap.map_smul₂
 
-/- warning: linear_map.map_smulₛₗ₂ -> LinearMap.map_smulₛₗ₂ is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.map_smulₛₗ₂ LinearMap.map_smulₛₗ₂ₓ'. -/
 theorem map_smulₛₗ₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (r : R) (x y) : f (r • x) y = ρ₁₂ r • f x y :=
   (flip f y).map_smulₛₗ _ _
 #align linear_map.map_smulₛₗ₂ LinearMap.map_smulₛₗ₂
 
-/- warning: linear_map.map_sum₂ -> LinearMap.map_sum₂ is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.map_sum₂ LinearMap.map_sum₂ₓ'. -/
 theorem map_sum₂ {ι : Type _} (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (t : Finset ι) (x : ι → M) (y) :
     f (∑ i in t, x i) y = ∑ i in t, f (x i) y :=
   (flip f y).map_sum
@@ -250,9 +202,6 @@ def domRestrict₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (q : Subm
 #align linear_map.dom_restrict₂ LinearMap.domRestrict₂
 -/
 
-/- warning: linear_map.dom_restrict₂_apply -> LinearMap.domRestrict₂_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.dom_restrict₂_apply LinearMap.domRestrict₂_applyₓ'. -/
 theorem domRestrict₂_apply (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (q : Submodule S N) (x : M) (y : q) :
     f.domRestrict₂ q x y = f x y :=
   rfl
@@ -266,9 +215,6 @@ def domRestrict₁₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (p : S
 #align linear_map.dom_restrict₁₂ LinearMap.domRestrict₁₂
 -/
 
-/- warning: linear_map.dom_restrict₁₂_apply -> LinearMap.domRestrict₁₂_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.dom_restrict₁₂_apply LinearMap.domRestrict₁₂_applyₓ'. -/
 theorem domRestrict₁₂_apply (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (p : Submodule R M) (q : Submodule S N)
     (x : p) (y : q) : f.domRestrict₁₂ p q x y = f x y :=
   rfl
@@ -304,9 +250,6 @@ variable [RingHomCompTriple σ₁₂ σ₂₃ σ₁₃] [RingHomCompTriple σ₄
 
 variable (R)
 
-/- warning: linear_map.mk₂ -> LinearMap.mk₂ is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.mk₂ LinearMap.mk₂ₓ'. -/
 /-- Create a bilinear map from a function that is linear in each component.
 
 This is a shorthand for `mk₂'` for the common case when `R = S`. -/
@@ -317,9 +260,6 @@ def mk₂ (f : M → Nₗ → Pₗ) (H1 : ∀ m₁ m₂ n, f (m₁ + m₂) n = f
   mk₂' R R f H1 H2 H3 H4
 #align linear_map.mk₂ LinearMap.mk₂
 
-/- warning: linear_map.mk₂_apply -> LinearMap.mk₂_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.mk₂_apply LinearMap.mk₂_applyₓ'. -/
 @[simp]
 theorem mk₂_apply (f : M → Nₗ → Pₗ) {H1 H2 H3 H4} (m : M) (n : Nₗ) :
     (mk₂ R f H1 H2 H3 H4 : M →ₗ[R] Nₗ →ₗ[R] Pₗ) m n = f m n :=
@@ -343,9 +283,6 @@ variable {R M N P}
 
 variable (f : M →ₛₗ[σ₁₃] N →ₛₗ[σ₂₃] P)
 
-/- warning: linear_map.lflip_apply -> LinearMap.lflip_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.lflip_apply LinearMap.lflip_applyₓ'. -/
 @[simp]
 theorem lflip_apply (m : M) (n : N) : lflip R M N P f n m = f m n :=
   rfl
@@ -362,17 +299,11 @@ def lcomp (f : M →ₗ[R] Nₗ) : (Nₗ →ₗ[R] Pₗ) →ₗ[R] M →ₗ[R] P
 
 variable {R Pₗ}
 
-/- warning: linear_map.lcomp_apply -> LinearMap.lcomp_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.lcomp_apply LinearMap.lcomp_applyₓ'. -/
 @[simp]
 theorem lcomp_apply (f : M →ₗ[R] Nₗ) (g : Nₗ →ₗ[R] Pₗ) (x : M) : lcomp R Pₗ f g x = g (f x) :=
   rfl
 #align linear_map.lcomp_apply LinearMap.lcomp_apply
 
-/- warning: linear_map.lcomp_apply' -> LinearMap.lcomp_apply' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.lcomp_apply' LinearMap.lcomp_apply'ₓ'. -/
 theorem lcomp_apply' (f : M →ₗ[R] Nₗ) (g : Nₗ →ₗ[R] Pₗ) : lcomp R Pₗ f g = g ∘ₗ f :=
   rfl
 #align linear_map.lcomp_apply' LinearMap.lcomp_apply'
@@ -391,9 +322,6 @@ variable {P σ₂₃}
 
 include σ₁₃
 
-/- warning: linear_map.lcompₛₗ_apply -> LinearMap.lcompₛₗ_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.lcompₛₗ_apply LinearMap.lcompₛₗ_applyₓ'. -/
 @[simp]
 theorem lcompₛₗ_apply (f : M →ₛₗ[σ₁₂] N) (g : N →ₛₗ[σ₂₃] P) (x : M) :
     lcompₛₗ P σ₂₃ f g x = g (f x) :=
@@ -418,18 +346,12 @@ variable {R M Nₗ Pₗ}
 
 section
 
-/- warning: linear_map.llcomp_apply -> LinearMap.llcomp_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.llcomp_apply LinearMap.llcomp_applyₓ'. -/
 @[simp]
 theorem llcomp_apply (f : Nₗ →ₗ[R] Pₗ) (g : M →ₗ[R] Nₗ) (x : M) :
     llcomp R M Nₗ Pₗ f g x = f (g x) :=
   rfl
 #align linear_map.llcomp_apply LinearMap.llcomp_apply
 
-/- warning: linear_map.llcomp_apply' -> LinearMap.llcomp_apply' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.llcomp_apply' LinearMap.llcomp_apply'ₓ'. -/
 theorem llcomp_apply' (f : Nₗ →ₗ[R] Pₗ) (g : M →ₗ[R] Nₗ) : llcomp R M Nₗ Pₗ f g = f ∘ₗ g :=
   rfl
 #align linear_map.llcomp_apply' LinearMap.llcomp_apply'
@@ -446,9 +368,6 @@ def compl₂ (g : Q →ₛₗ[σ₄₂] N) : M →ₛₗ[σ₁₃] Q →ₛₗ[
 
 include σ₄₃
 
-/- warning: linear_map.compl₂_apply -> LinearMap.compl₂_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.compl₂_apply LinearMap.compl₂_applyₓ'. -/
 @[simp]
 theorem compl₂_apply (g : Q →ₛₗ[σ₄₂] N) (m : M) (q : Q) : f.compl₂ g m q = f m (g q) :=
   rfl
@@ -456,9 +375,6 @@ theorem compl₂_apply (g : Q →ₛₗ[σ₄₂] N) (m : M) (q : Q) : f.compl
 
 omit σ₄₃
 
-/- warning: linear_map.compl₂_id -> LinearMap.compl₂_id is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.compl₂_id LinearMap.compl₂_idₓ'. -/
 @[simp]
 theorem compl₂_id : f.compl₂ LinearMap.id = f := by ext; rw [compl₂_apply, id_coe, id.def]
 #align linear_map.compl₂_id LinearMap.compl₂_id
@@ -472,26 +388,17 @@ def compl₁₂ (f : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ) (g : Qₗ →ₗ[R] M
 #align linear_map.compl₁₂ LinearMap.compl₁₂
 -/
 
-/- warning: linear_map.compl₁₂_apply -> LinearMap.compl₁₂_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.compl₁₂_apply LinearMap.compl₁₂_applyₓ'. -/
 @[simp]
 theorem compl₁₂_apply (f : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ) (g : Qₗ →ₗ[R] Mₗ) (g' : Qₗ' →ₗ[R] Nₗ) (x : Qₗ)
     (y : Qₗ') : f.compl₁₂ g g' x y = f (g x) (g' y) :=
   rfl
 #align linear_map.compl₁₂_apply LinearMap.compl₁₂_apply
 
-/- warning: linear_map.compl₁₂_id_id -> LinearMap.compl₁₂_id_id is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.compl₁₂_id_id LinearMap.compl₁₂_id_idₓ'. -/
 @[simp]
 theorem compl₁₂_id_id (f : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ) : f.compl₁₂ LinearMap.id LinearMap.id = f := by
   ext; simp_rw [compl₁₂_apply, id_coe, id.def]
 #align linear_map.compl₁₂_id_id LinearMap.compl₁₂_id_id
 
-/- warning: linear_map.compl₁₂_inj -> LinearMap.compl₁₂_inj is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.compl₁₂_inj LinearMap.compl₁₂_injₓ'. -/
 theorem compl₁₂_inj {f₁ f₂ : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ} {g : Qₗ →ₗ[R] Mₗ} {g' : Qₗ' →ₗ[R] Nₗ}
     (hₗ : Function.Surjective g) (hᵣ : Function.Surjective g') :
     f₁.compl₁₂ g g' = f₂.compl₁₂ g g' ↔ f₁ = f₂ :=
@@ -514,9 +421,6 @@ def compr₂ (f : M →ₗ[R] Nₗ →ₗ[R] Pₗ) (g : Pₗ →ₗ[R] Qₗ) : M
 #align linear_map.compr₂ LinearMap.compr₂
 -/
 
-/- warning: linear_map.compr₂_apply -> LinearMap.compr₂_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.compr₂_apply LinearMap.compr₂_applyₓ'. -/
 @[simp]
 theorem compr₂_apply (f : M →ₗ[R] Nₗ →ₗ[R] Pₗ) (g : Pₗ →ₗ[R] Qₗ) (m : M) (n : Nₗ) :
     f.compr₂ g m n = g (f m n) :=
@@ -535,9 +439,6 @@ def lsmul : R →ₗ[R] M →ₗ[R] M :=
 
 variable {R M}
 
-/- warning: linear_map.lsmul_apply -> LinearMap.lsmul_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.lsmul_apply LinearMap.lsmul_applyₓ'. -/
 @[simp]
 theorem lsmul_apply (r : R) (m : M) : lsmul R M r m = r • m :=
   rfl
@@ -559,17 +460,11 @@ variable [AddCommGroup M] [AddCommGroup N] [AddCommGroup P]
 
 variable [Module R M] [Module S N] [Module R₂ P] [Module S₂ P]
 
-/- warning: linear_map.lsmul_injective -> LinearMap.lsmul_injective is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.lsmul_injective LinearMap.lsmul_injectiveₓ'. -/
 theorem lsmul_injective [NoZeroSMulDivisors R M] {x : R} (hx : x ≠ 0) :
     Function.Injective (lsmul R M x) :=
   smul_right_injective _ hx
 #align linear_map.lsmul_injective LinearMap.lsmul_injective
 
-/- warning: linear_map.ker_lsmul -> LinearMap.ker_lsmul is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.ker_lsmul LinearMap.ker_lsmulₓ'. -/
 theorem ker_lsmul [NoZeroSMulDivisors R M] {a : R} (ha : a ≠ 0) : (LinearMap.lsmul R M a).ker = ⊥ :=
   LinearMap.ker_eq_bot_of_injective (LinearMap.lsmul_injective ha)
 #align linear_map.ker_lsmul LinearMap.ker_lsmul

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

@@ -460,10 +460,7 @@ omit σ₄₃
 <too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.compl₂_id LinearMap.compl₂_idₓ'. -/
 @[simp]
-theorem compl₂_id : f.compl₂ LinearMap.id = f :=
-  by
-  ext
-  rw [compl₂_apply, id_coe, id.def]
+theorem compl₂_id : f.compl₂ LinearMap.id = f := by ext; rw [compl₂_apply, id_coe, id.def]
 #align linear_map.compl₂_id LinearMap.compl₂_id
 
 #print LinearMap.compl₁₂ /-
@@ -488,10 +485,8 @@ theorem compl₁₂_apply (f : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ) (g : Qₗ →
 <too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.compl₁₂_id_id LinearMap.compl₁₂_id_idₓ'. -/
 @[simp]
-theorem compl₁₂_id_id (f : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ) : f.compl₁₂ LinearMap.id LinearMap.id = f :=
-  by
-  ext
-  simp_rw [compl₁₂_apply, id_coe, id.def]
+theorem compl₁₂_id_id (f : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ) : f.compl₁₂ LinearMap.id LinearMap.id = f := by
+  ext; simp_rw [compl₁₂_apply, id_coe, id.def]
 #align linear_map.compl₁₂_id_id LinearMap.compl₁₂_id_id
 
 /- warning: linear_map.compl₁₂_inj -> LinearMap.compl₁₂_inj is a dubious translation:
@@ -504,10 +499,8 @@ theorem compl₁₂_inj {f₁ f₂ : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ} {g : Q
   constructor <;> intro h
   · -- B₁.comp l r = B₂.comp l r → B₁ = B₂
     ext (x y)
-    cases' hₗ x with x' hx
-    subst hx
-    cases' hᵣ y with y' hy
-    subst hy
+    cases' hₗ x with x' hx; subst hx
+    cases' hᵣ y with y' hy; subst hy
     convert LinearMap.congr_fun₂ h x' y'
   ·-- B₁ = B₂ → B₁.comp l r = B₂.comp l r
     subst h

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

@@ -79,10 +79,7 @@ variable {ρ₁₂ : R →+* R₂} {σ₁₂ : S →+* S₂}
 variable (ρ₁₂ σ₁₂)
 
 /- warning: linear_map.mk₂'ₛₗ -> LinearMap.mk₂'ₛₗ is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P 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(Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] (ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) (σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) (f : M -> N -> P), (forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u7} P (f (HAdd.hAdd.{u5, u5, u5} M M M (instHAdd.{u5} M (AddZeroClass.toHasAdd.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u7, u7, u7} P P P (instHAdd.{u7} P (AddZeroClass.toHasAdd.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)))) (f m₁ n) (f m₂ n))) -> (forall (c : R) (m : M) (n : N), Eq.{succ u7} P (f (SMul.smul.{u1, u5} R M (SMulZeroClass.toHasSmul.{u1, u5} R M (AddZeroClass.toHasZero.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))) (SMulWithZero.toSmulZeroClass.{u1, u5} R M 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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.mk₂'ₛₗ LinearMap.mk₂'ₛₗₓ'. -/
 /-- Create a bilinear map from a function that is semilinear in each component.
 See `mk₂'` and `mk₂` for the linear case. -/
@@ -102,10 +99,7 @@ def mk₂'ₛₗ (f : M → N → P) (H1 : ∀ m₁ m₂ n, f (m₁ + m₂) n =
 variable {ρ₁₂ σ₁₂}
 
 /- warning: linear_map.mk₂'ₛₗ_apply -> LinearMap.mk₂'ₛₗ_apply is a dubious translation:
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-  forall {R : Type.{u5}} [_inst_1 : Semiring.{u5} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u4}} [_inst_3 : Semiring.{u4} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u6}} {N : Type.{u3}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u6} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u5, u6} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u4, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u4, u7} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u7} S₂ P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u7} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u7} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u1, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u4, u7} R₂ P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u4, u7} R₂ P (MonoidWithZero.toZero.{u4} R₂ (Semiring.toMonoidWithZero.{u4} R₂ _inst_3)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u4, u7} R₂ P (Semiring.toMonoidWithZero.{u4} R₂ _inst_3) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u4, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : M -> N -> P) {H1 : forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u7} P (f (HAdd.hAdd.{u6, u6, u6} M M M (instHAdd.{u6} M (AddZeroClass.toAdd.{u6} M (AddMonoid.toAddZeroClass.{u6} M (AddCommMonoid.toAddMonoid.{u6} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u7, u7, u7} P P P (instHAdd.{u7} P (AddZeroClass.toAdd.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)))) (f m₁ n) (f m₂ n))} {H2 : forall (c : R) (m : M) (n : N), Eq.{succ u7} P (f (HSMul.hSMul.{u5, u6, u6} R M M (instHSMul.{u5, u6} R M (SMulZeroClass.toSMul.{u5, u6} R M (AddMonoid.toZero.{u6} M (AddCommMonoid.toAddMonoid.{u6} M _inst_5)) (SMulWithZero.toSMulZeroClass.{u5, u6} R M (MonoidWithZero.toZero.{u5} R (Semiring.toMonoidWithZero.{u5} R _inst_1)) (AddMonoid.toZero.{u6} M (AddCommMonoid.toAddMonoid.{u6} M _inst_5)) (MulActionWithZero.toSMulWithZero.{u5, u6} R M (Semiring.toMonoidWithZero.{u5} R _inst_1) (AddMonoid.toZero.{u6} M (AddCommMonoid.toAddMonoid.{u6} M _inst_5)) (Module.toMulActionWithZero.{u5, u6} R M _inst_1 _inst_5 _inst_16))))) c m) n) (HSMul.hSMul.{u4, u7, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) P P (instHSMul.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) P (SMulZeroClass.toSMul.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) P (MonoidWithZero.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) (Semiring.toMonoidWithZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) _inst_3)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) P (Semiring.toMonoidWithZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) _inst_3) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) P _inst_3 _inst_7 _inst_18))))) (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (RingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) _x) (MulHomClass.toFunLike.{max u5 u4, u5, u4} (RingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)) R R₂ (NonUnitalNonAssocSemiring.toMul.{u5} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u5} R (Semiring.toNonAssocSemiring.{u5} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u4} R₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R₂ (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u5 u4, u5, u4} (RingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)) R R₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u5} R (Semiring.toNonAssocSemiring.{u5} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R₂ (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u5 u4, u5, u4} (RingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)) R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3) (RingHom.instRingHomClassRingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3))))) ρ₁₂ c) (f m n))} {H3 : forall (m : M) (n₁ : N) (n₂ : N), Eq.{succ u7} P (f m (HAdd.hAdd.{u3, u3, u3} N N N (instHAdd.{u3} N (AddZeroClass.toAdd.{u3} N (AddMonoid.toAddZeroClass.{u3} N (AddCommMonoid.toAddMonoid.{u3} N _inst_6)))) n₁ n₂)) (HAdd.hAdd.{u7, u7, u7} P P P (instHAdd.{u7} P (AddZeroClass.toAdd.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)))) (f m n₁) (f m n₂))} {H4 : forall (c : S) (m : M) (n : N), Eq.{succ u7} P (f m (HSMul.hSMul.{u2, u3, u3} S N N (instHSMul.{u2, u3} S N (SMulZeroClass.toSMul.{u2, u3} S N (AddMonoid.toZero.{u3} N (AddCommMonoid.toAddMonoid.{u3} N _inst_6)) (SMulWithZero.toSMulZeroClass.{u2, u3} S N (MonoidWithZero.toZero.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)) (AddMonoid.toZero.{u3} N (AddCommMonoid.toAddMonoid.{u3} N _inst_6)) (MulActionWithZero.toSMulWithZero.{u2, u3} S N (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddMonoid.toZero.{u3} N (AddCommMonoid.toAddMonoid.{u3} N _inst_6)) (Module.toMulActionWithZero.{u2, u3} S N _inst_2 _inst_6 _inst_17))))) c n)) (HSMul.hSMul.{u1, u7, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) P P (instHSMul.{u1, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) P (SMulZeroClass.toSMul.{u1, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) P (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) _inst_4)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) P (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) _inst_4) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u1, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) P _inst_4 _inst_7 _inst_19))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) S (fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) S S₂ (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) (NonUnitalNonAssocSemiring.toMul.{u1} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S₂ (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) S S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S₂ (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4) (RingHom.instRingHomClassRingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4))))) σ₁₂ c) (f m n))} (m : M) (n : N), Eq.{succ u7} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) n) (FunLike.coe.{max (succ u3) (succ u7), succ u3, succ u7} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) m) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u6) (succ u3)) (succ u7), succ u6, max (succ u3) (succ u7)} (LinearMap.{u5, u4, u6, max u7 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u4, u3, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u5, u4, u6, max u3 u7} R R₂ M (LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u4, u3, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) (LinearMap.mk₂'ₛₗ.{u5, u2, u4, u1, u6, u3, u7} R _inst_1 S _inst_2 R₂ _inst_3 S₂ _inst_4 M N P _inst_5 _inst_6 _inst_7 _inst_16 _inst_17 _inst_18 _inst_19 _inst_30 ρ₁₂ σ₁₂ f H1 H2 H3 H4) m) n) (f m n)
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.mk₂'ₛₗ_apply LinearMap.mk₂'ₛₗ_applyₓ'. -/
 @[simp]
 theorem mk₂'ₛₗ_apply (f : M → N → P) {H1 H2 H3 H4} (m : M) (n : N) :
@@ -116,10 +110,7 @@ theorem mk₂'ₛₗ_apply (f : M → N → P) {H1 H2 H3 H4} (m : M) (n : N) :
 variable (R S)
 
 /- warning: linear_map.mk₂' -> LinearMap.mk₂' is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) [_inst_1 : Semiring.{u1} R] (S : Type.{u2}) [_inst_2 : Semiring.{u2} S] {M : Type.{u3}} {N : Type.{u4}} {Pₗ : Type.{u5}} [_inst_5 : AddCommMonoid.{u3} M] [_inst_6 : AddCommMonoid.{u4} N] [_inst_12 : AddCommMonoid.{u5} Pₗ] [_inst_16 : Module.{u1, u3} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u4} S N _inst_2 _inst_6] [_inst_24 : Module.{u1, u5} R Pₗ _inst_1 _inst_12] [_inst_25 : Module.{u2, u5} S Pₗ _inst_2 _inst_12] [_inst_31 : SMulCommClass.{u2, u1, u5} S R Pₗ (SMulZeroClass.toHasSmul.{u2, u5} S Pₗ (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (SMulWithZero.toSmulZeroClass.{u2, u5} S Pₗ (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)))) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (MulActionWithZero.toSMulWithZero.{u2, u5} S Pₗ (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (Module.toMulActionWithZero.{u2, u5} S Pₗ _inst_2 _inst_12 _inst_25)))) (SMulZeroClass.toHasSmul.{u1, u5} R Pₗ (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (SMulWithZero.toSmulZeroClass.{u1, u5} R Pₗ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (MulActionWithZero.toSMulWithZero.{u1, u5} R Pₗ (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (Module.toMulActionWithZero.{u1, u5} R Pₗ _inst_1 _inst_12 _inst_24))))] (f : M -> N -> Pₗ), 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(Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_5))) (Module.toMulActionWithZero.{u1, u3} R M _inst_1 _inst_5 _inst_16)))) c m) n) (SMul.smul.{u1, u5} R Pₗ (SMulZeroClass.toHasSmul.{u1, u5} R Pₗ (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (SMulWithZero.toSmulZeroClass.{u1, u5} R Pₗ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (MulActionWithZero.toSMulWithZero.{u1, u5} R Pₗ (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (Module.toMulActionWithZero.{u1, u5} R Pₗ _inst_1 _inst_12 _inst_24)))) c (f m n))) -> (forall (m : M) (n₁ : N) (n₂ : N), Eq.{succ u5} Pₗ (f m (HAdd.hAdd.{u4, u4, u4} N N N (instHAdd.{u4} N (AddZeroClass.toHasAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_6)))) n₁ n₂)) (HAdd.hAdd.{u5, u5, u5} Pₗ Pₗ Pₗ (instHAdd.{u5} Pₗ (AddZeroClass.toHasAdd.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)))) (f m n₁) (f m n₂))) -> (forall (c : S) (m : M) (n : N), Eq.{succ u5} Pₗ (f m (SMul.smul.{u2, u4} S N (SMulZeroClass.toHasSmul.{u2, u4} S N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_6))) (SMulWithZero.toSmulZeroClass.{u2, u4} S N (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_6))) (MulActionWithZero.toSMulWithZero.{u2, u4} S N (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_6))) (Module.toMulActionWithZero.{u2, u4} S N _inst_2 _inst_6 _inst_17)))) c n)) (SMul.smul.{u2, u5} S Pₗ (SMulZeroClass.toHasSmul.{u2, u5} S Pₗ (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (SMulWithZero.toSmulZeroClass.{u2, u5} S Pₗ (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)))) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (MulActionWithZero.toSMulWithZero.{u2, u5} S Pₗ (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (Module.toMulActionWithZero.{u2, u5} S Pₗ _inst_2 _inst_12 _inst_25)))) c (f m n))) -> (LinearMap.{u1, u1, u3, max u4 u5} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M (LinearMap.{u2, u2, u4, u5} S S _inst_2 _inst_2 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) _inst_5 (LinearMap.addCommMonoid.{u2, u2, u4, u5} S S N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) _inst_16 (LinearMap.module.{u2, u2, u1, u4, u5} S S R N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) _inst_1 _inst_24 _inst_31))
-but is expected to have type
-  forall (R : Type.{u1}) [_inst_1 : Semiring.{u1} R] (S : Type.{u2}) [_inst_2 : Semiring.{u2} S] {M : Type.{u3}} {N : Type.{u4}} {Pₗ : Type.{u5}} [_inst_5 : AddCommMonoid.{u3} M] [_inst_6 : AddCommMonoid.{u4} N] [_inst_12 : AddCommMonoid.{u5} Pₗ] [_inst_16 : Module.{u1, u3} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u4} S N _inst_2 _inst_6] [_inst_24 : Module.{u1, u5} R Pₗ _inst_1 _inst_12] [_inst_25 : Module.{u2, u5} S Pₗ _inst_2 _inst_12] [_inst_31 : SMulCommClass.{u2, u1, u5} S R Pₗ (SMulZeroClass.toSMul.{u2, u5} S Pₗ (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (SMulWithZero.toSMulZeroClass.{u2, u5} S Pₗ (MonoidWithZero.toZero.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (MulActionWithZero.toSMulWithZero.{u2, u5} S Pₗ (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (Module.toMulActionWithZero.{u2, u5} S Pₗ _inst_2 _inst_12 _inst_25)))) (SMulZeroClass.toSMul.{u1, u5} R Pₗ (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (SMulWithZero.toSMulZeroClass.{u1, u5} R Pₗ (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (MulActionWithZero.toSMulWithZero.{u1, u5} R Pₗ (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (Module.toMulActionWithZero.{u1, u5} R Pₗ _inst_1 _inst_12 _inst_24))))] (f : M -> N -> Pₗ), (forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u5} Pₗ (f (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u5, u5, u5} Pₗ Pₗ Pₗ (instHAdd.{u5} Pₗ (AddZeroClass.toAdd.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)))) (f m₁ n) (f m₂ n))) -> (forall (c : R) (m : M) (n : N), Eq.{succ u5} Pₗ (f (HSMul.hSMul.{u1, u3, u3} R M M (instHSMul.{u1, u3} R M (SMulZeroClass.toSMul.{u1, u3} R M (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u3} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u3} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_5)) (Module.toMulActionWithZero.{u1, u3} R M _inst_1 _inst_5 _inst_16))))) c m) n) (HSMul.hSMul.{u1, u5, u5} R Pₗ Pₗ (instHSMul.{u1, u5} R Pₗ (SMulZeroClass.toSMul.{u1, u5} R Pₗ (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (SMulWithZero.toSMulZeroClass.{u1, u5} R Pₗ (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (MulActionWithZero.toSMulWithZero.{u1, u5} R Pₗ (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (Module.toMulActionWithZero.{u1, u5} R Pₗ _inst_1 _inst_12 _inst_24))))) c (f m n))) -> (forall (m : M) (n₁ : N) (n₂ : N), Eq.{succ u5} Pₗ (f m (HAdd.hAdd.{u4, u4, u4} N N N (instHAdd.{u4} N (AddZeroClass.toAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_6)))) n₁ n₂)) (HAdd.hAdd.{u5, u5, u5} Pₗ Pₗ Pₗ (instHAdd.{u5} Pₗ (AddZeroClass.toAdd.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)))) (f m n₁) (f m n₂))) -> (forall (c : S) (m : M) (n : N), Eq.{succ u5} Pₗ (f m (HSMul.hSMul.{u2, u4, u4} S N N (instHSMul.{u2, u4} S N (SMulZeroClass.toSMul.{u2, u4} S N (AddMonoid.toZero.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_6)) (SMulWithZero.toSMulZeroClass.{u2, u4} S N (MonoidWithZero.toZero.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)) (AddMonoid.toZero.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_6)) (MulActionWithZero.toSMulWithZero.{u2, u4} S N (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddMonoid.toZero.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_6)) (Module.toMulActionWithZero.{u2, u4} S N _inst_2 _inst_6 _inst_17))))) c n)) (HSMul.hSMul.{u2, u5, u5} S Pₗ Pₗ (instHSMul.{u2, u5} S Pₗ (SMulZeroClass.toSMul.{u2, u5} S Pₗ (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (SMulWithZero.toSMulZeroClass.{u2, u5} S Pₗ (MonoidWithZero.toZero.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (MulActionWithZero.toSMulWithZero.{u2, u5} S Pₗ (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (Module.toMulActionWithZero.{u2, u5} S Pₗ _inst_2 _inst_12 _inst_25))))) c (f m n))) -> (LinearMap.{u1, u1, u3, max u5 u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M (LinearMap.{u2, u2, u4, u5} S S _inst_2 _inst_2 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) _inst_5 (LinearMap.addCommMonoid.{u2, u2, u4, u5} S S N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u1, u4, u5} S S R N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) _inst_1 _inst_24 _inst_31))
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.mk₂' LinearMap.mk₂'ₓ'. -/
 /-- Create a bilinear map from a function that is linear in each component.
 See `mk₂` for the special case where both arguments come from modules over the same ring. -/
@@ -133,10 +124,7 @@ def mk₂' (f : M → N → Pₗ) (H1 : ∀ m₁ m₂ n, f (m₁ + m₂) n = f m
 variable {R S}
 
 /- warning: linear_map.mk₂'_apply -> LinearMap.mk₂'_apply is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {M : Type.{u3}} {N : Type.{u4}} {Pₗ : Type.{u5}} [_inst_5 : AddCommMonoid.{u3} M] [_inst_6 : AddCommMonoid.{u4} N] [_inst_12 : AddCommMonoid.{u5} Pₗ] [_inst_16 : Module.{u1, u3} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u4} S N _inst_2 _inst_6] [_inst_24 : Module.{u1, u5} R Pₗ _inst_1 _inst_12] [_inst_25 : Module.{u2, u5} S Pₗ _inst_2 _inst_12] [_inst_31 : SMulCommClass.{u2, u1, u5} S R Pₗ (SMulZeroClass.toHasSmul.{u2, u5} S Pₗ (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (SMulWithZero.toSmulZeroClass.{u2, u5} S Pₗ (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)))) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (MulActionWithZero.toSMulWithZero.{u2, u5} S Pₗ (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (Module.toMulActionWithZero.{u2, u5} S Pₗ _inst_2 _inst_12 _inst_25)))) (SMulZeroClass.toHasSmul.{u1, u5} R Pₗ (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (SMulWithZero.toSmulZeroClass.{u1, u5} R Pₗ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (MulActionWithZero.toSMulWithZero.{u1, u5} R Pₗ (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (Module.toMulActionWithZero.{u1, u5} R Pₗ _inst_1 _inst_12 _inst_24))))] (f : M -> N -> Pₗ) {H1 : forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u5} Pₗ (f (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toHasAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u5, u5, u5} Pₗ Pₗ Pₗ (instHAdd.{u5} Pₗ (AddZeroClass.toHasAdd.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)))) (f m₁ n) (f m₂ n))} {H2 : forall (c : R) (m : M) (n : N), Eq.{succ u5} Pₗ (f (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_5))) (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_5))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M 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 Case conversion may be inaccurate. Consider using '#align linear_map.mk₂'_apply LinearMap.mk₂'_applyₓ'. -/
 @[simp]
 theorem mk₂'_apply (f : M → N → Pₗ) {H1 H2 H3 H4} (m : M) (n : N) :
@@ -145,20 +133,14 @@ theorem mk₂'_apply (f : M → N → Pₗ) {H1 H2 H3 H4} (m : M) (n : N) :
 #align linear_map.mk₂'_apply LinearMap.mk₂'_apply
 
 /- warning: linear_map.ext₂ -> LinearMap.ext₂ is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_map.ext₂ LinearMap.ext₂ₓ'. -/
 theorem ext₂ {f g : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P} (H : ∀ m n, f m n = g m n) : f = g :=
   LinearMap.ext fun m => LinearMap.ext fun n => H m n
 #align linear_map.ext₂ LinearMap.ext₂
 
 /- warning: linear_map.congr_fun₂ -> LinearMap.congr_fun₂ is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.congr_fun₂ LinearMap.congr_fun₂ₓ'. -/
 theorem congr_fun₂ {f g : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P} (h : f = g) (x y) : f x y = g x y :=
   LinearMap.congr_fun (LinearMap.congr_fun h x) y
@@ -181,10 +163,7 @@ def flip (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) : N →ₛₗ[σ₁
 end
 
 /- warning: linear_map.flip_apply -> LinearMap.flip_apply is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_map.flip_apply LinearMap.flip_applyₓ'. -/
 @[simp]
 theorem flip_apply (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (m : M) (n : N) : flip f n m = f m n :=
@@ -192,10 +171,7 @@ theorem flip_apply (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (m : M) (
 #align linear_map.flip_apply LinearMap.flip_apply
 
 /- warning: linear_map.flip_flip -> LinearMap.flip_flip is a dubious translation:
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(AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} [_inst_34 : SMulCommClass.{u3, u4, u7} R₂ S₂ P (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18)))) (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19))))] (f : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)), Eq.{max (succ u5) (succ (max u6 u7))} (LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 (LinearMap.flip._proof_1.{u4, u3, u7} S₂ _inst_4 R₂ _inst_3 P _inst_7 _inst_19 _inst_18 _inst_34))) (LinearMap.flip.{u2, u1, u4, u3, u6, u5, u7} S _inst_2 R _inst_1 S₂ _inst_4 R₂ _inst_3 N M P _inst_6 _inst_5 _inst_7 _inst_17 _inst_16 _inst_19 _inst_18 _inst_34 σ₁₂ ρ₁₂ (LinearMap.flip.{u1, u2, u3, u4, u5, u6, u7} R _inst_1 S _inst_2 R₂ _inst_3 S₂ _inst_4 M N P _inst_5 _inst_6 _inst_7 _inst_16 _inst_17 _inst_18 _inst_19 _inst_30 ρ₁₂ σ₁₂ f)) f
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(AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (_inst_34 : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 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_inst_7 _inst_18)))) _inst_30)))) (LinearMap.flip.{u2, u7, u1, u6, u3, u5, u4} S _inst_2 R _inst_1 S₂ _inst_4 R₂ _inst_3 N M P _inst_6 _inst_5 _inst_7 _inst_17 _inst_16 _inst_19 _inst_18 (SMulCommClass.symm.{u4, u6, u1} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18)))) _inst_30) σ₁₂ ρ₁₂ (LinearMap.flip.{u7, u2, u6, u1, u5, u3, u4} R _inst_1 S _inst_2 R₂ _inst_3 S₂ _inst_4 M N P _inst_5 _inst_6 _inst_7 _inst_16 _inst_17 _inst_18 _inst_19 _inst_30 ρ₁₂ σ₁₂ _inst_34)) _inst_34
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.flip_flip LinearMap.flip_flipₓ'. -/
 @[simp]
 theorem flip_flip [SMulCommClass R₂ S₂ P] (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) : f.flip.flip = f :=
@@ -207,80 +183,56 @@ open BigOperators
 variable {R}
 
 /- warning: linear_map.flip_inj -> LinearMap.flip_inj is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_map.flip_inj LinearMap.flip_injₓ'. -/
 theorem flip_inj {f g : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P} (H : flip f = flip g) : f = g :=
   ext₂ fun m n => show flip f n m = flip g n m by rw [H]
 #align linear_map.flip_inj LinearMap.flip_inj
 
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 Case conversion may be inaccurate. Consider using '#align linear_map.map_zero₂ LinearMap.map_zero₂ₓ'. -/
 theorem map_zero₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (y) : f 0 y = 0 :=
   (flip f y).map_zero
 #align linear_map.map_zero₂ LinearMap.map_zero₂
 
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 Case conversion may be inaccurate. Consider using '#align linear_map.map_neg₂ LinearMap.map_neg₂ₓ'. -/
 theorem map_neg₂ (f : M' →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P') (x y) : f (-x) y = -f x y :=
   (flip f y).map_neg _
 #align linear_map.map_neg₂ LinearMap.map_neg₂
 
 /- warning: linear_map.map_sub₂ -> LinearMap.map_sub₂ is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.map_sub₂ LinearMap.map_sub₂ₓ'. -/
 theorem map_sub₂ (f : M' →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P') (x y z) : f (x - y) z = f x z - f y z :=
   (flip f z).map_sub _ _
 #align linear_map.map_sub₂ LinearMap.map_sub₂
 
 /- warning: linear_map.map_add₂ -> LinearMap.map_add₂ is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_map.map_add₂ LinearMap.map_add₂ₓ'. -/
 theorem map_add₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (x₁ x₂ y) : f (x₁ + x₂) y = f x₁ y + f x₂ y :=
   (flip f y).map_add _ _
 #align linear_map.map_add₂ LinearMap.map_add₂
 
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 Case conversion may be inaccurate. Consider using '#align linear_map.map_smul₂ LinearMap.map_smul₂ₓ'. -/
 theorem map_smul₂ (f : M₂ →ₗ[R] N₂ →ₛₗ[σ₁₂] P₂) (r : R) (x y) : f (r • x) y = r • f x y :=
   (flip f y).map_smul _ _
 #align linear_map.map_smul₂ LinearMap.map_smul₂
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.map_smulₛₗ₂ LinearMap.map_smulₛₗ₂ₓ'. -/
 theorem map_smulₛₗ₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (r : R) (x y) : f (r • x) y = ρ₁₂ r • f x y :=
   (flip f y).map_smulₛₗ _ _
 #align linear_map.map_smulₛₗ₂ LinearMap.map_smulₛₗ₂
 
 /- warning: linear_map.map_sum₂ -> LinearMap.map_sum₂ is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.map_sum₂ LinearMap.map_sum₂ₓ'. -/
 theorem map_sum₂ {ι : Type _} (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (t : Finset ι) (x : ι → M) (y) :
     f (∑ i in t, x i) y = ∑ i in t, f (x i) y :=
@@ -299,10 +251,7 @@ def domRestrict₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (q : Subm
 -/
 
 /- warning: linear_map.dom_restrict₂_apply -> LinearMap.domRestrict₂_apply is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.dom_restrict₂_apply LinearMap.domRestrict₂_applyₓ'. -/
 theorem domRestrict₂_apply (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (q : Submodule S N) (x : M) (y : q) :
     f.domRestrict₂ q x y = f x y :=
@@ -318,10 +267,7 @@ def domRestrict₁₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (p : S
 -/
 
 /- warning: linear_map.dom_restrict₁₂_apply -> LinearMap.domRestrict₁₂_apply is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.dom_restrict₁₂_apply LinearMap.domRestrict₁₂_applyₓ'. -/
 theorem domRestrict₁₂_apply (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (p : Submodule R M) (q : Submodule S N)
     (x : p) (y : q) : f.domRestrict₁₂ p q x y = f x y :=
@@ -359,10 +305,7 @@ variable [RingHomCompTriple σ₁₂ σ₂₃ σ₁₃] [RingHomCompTriple σ₄
 variable (R)
 
 /- warning: linear_map.mk₂ -> LinearMap.mk₂ is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.mk₂ LinearMap.mk₂ₓ'. -/
 /-- Create a bilinear map from a function that is linear in each component.
 
@@ -375,10 +318,7 @@ def mk₂ (f : M → Nₗ → Pₗ) (H1 : ∀ m₁ m₂ n, f (m₁ + m₂) n = f
 #align linear_map.mk₂ LinearMap.mk₂
 
 /- warning: linear_map.mk₂_apply -> LinearMap.mk₂_apply is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.mk₂_apply LinearMap.mk₂_applyₓ'. -/
 @[simp]
 theorem mk₂_apply (f : M → Nₗ → Pₗ) {H1 H2 H3 H4} (m : M) (n : Nₗ) :
@@ -404,10 +344,7 @@ variable {R M N P}
 variable (f : M →ₛₗ[σ₁₃] N →ₛₗ[σ₂₃] P)
 
 /- warning: linear_map.lflip_apply -> LinearMap.lflip_apply is a dubious translation:
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(CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_5 _inst_7 _inst_14 _inst_16 σ₁₃ (MonoidWithZero.toMonoid.{u3} R₃ (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))) (Module.toDistribMulAction.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7 _inst_16) (smulCommClass_self.{u3, u6} R₃ P (CommSemiring.toCommMonoid.{u3} R₃ _inst_3) (MulActionWithZero.toMulAction.{u3, u6} R₃ P (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3)) (AddMonoid.toZero.{u6} P (AddCommMonoid.toAddMonoid.{u6} P _inst_7)) (Module.toMulActionWithZero.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7 _inst_16))) (MonoidWithZero.toMonoid.{u3} R₃ (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))) (Module.toDistribMulAction.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7 _inst_16) (smulCommClass_self.{u3, u6} R₃ P (CommSemiring.toCommMonoid.{u3} R₃ _inst_3) (MulActionWithZero.toMulAction.{u3, u6} R₃ 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(CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) _inst_5 (LinearMap.addCommMonoid.{u1, u3, u2, u6} R₂ R₃ N P (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u3, u3, u2, u6} R₂ R₃ R₃ N P (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_16 (smulCommClass_self.{u3, u6} R₃ P (CommSemiring.toCommMonoid.{u3} R₃ _inst_3) (MulActionWithZero.toMulAction.{u3, u6} R₃ P (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3)) (AddMonoid.toZero.{u6} P (AddCommMonoid.toAddMonoid.{u6} P _inst_7)) (Module.toMulActionWithZero.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7 _inst_16))))) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : LinearMap.{u4, u3, u5, max u6 u2} R R₃ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M (LinearMap.{u1, u3, u2, u6} R₂ R₃ (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) _inst_5 (LinearMap.addCommMonoid.{u1, u3, u2, u6} R₂ R₃ N P (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u3, u3, u2, u6} R₂ R₃ R₃ N P (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_16 (smulCommClass_self.{u3, u6} R₃ P (CommSemiring.toCommMonoid.{u3} R₃ _inst_3) (MulActionWithZero.toMulAction.{u3, u6} R₃ P (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3)) (AddMonoid.toZero.{u6} P (AddCommMonoid.toAddMonoid.{u6} P _inst_7)) (Module.toMulActionWithZero.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7 _inst_16))))) => LinearMap.{u1, u3, u2, max u6 u5} R₂ R₃ (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N (LinearMap.{u4, u3, u5, u6} R R₃ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M P _inst_5 _inst_7 _inst_14 _inst_16) _inst_6 (LinearMap.addCommMonoid.{u4, u3, u5, u6} R R₃ M P (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_5 _inst_7 _inst_14 _inst_16 σ₁₃) _inst_15 (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u3, u3, u5, u6} R R₃ R₃ M P (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_5 _inst_7 _inst_14 _inst_16 σ₁₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_16 (smulCommClass_self.{u3, u6} R₃ P (CommSemiring.toCommMonoid.{u3} R₃ _inst_3) (MulActionWithZero.toMulAction.{u3, u6} R₃ P (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3)) (AddMonoid.toZero.{u6} P (AddCommMonoid.toAddMonoid.{u6} P _inst_7)) (Module.toMulActionWithZero.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7 _inst_16))))) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max (max u6 u2) u5, max (max u6 u2) u5} R₃ R₃ (LinearMap.{u4, u3, u5, max u6 u2} R R₃ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M (LinearMap.{u1, u3, u2, u6} R₂ R₃ (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) _inst_5 (LinearMap.addCommMonoid.{u1, u3, u2, u6} R₂ R₃ N P (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u3, u3, u2, u6} R₂ R₃ R₃ N P (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_16 (smulCommClass_self.{u3, u6} R₃ P (CommSemiring.toCommMonoid.{u3} R₃ _inst_3) (MulActionWithZero.toMulAction.{u3, u6} R₃ P (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3)) (AddMonoid.toZero.{u6} P (AddCommMonoid.toAddMonoid.{u6} P _inst_7)) (Module.toMulActionWithZero.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7 _inst_16))))) (LinearMap.{u1, u3, u2, max u6 u5} R₂ R₃ (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N (LinearMap.{u4, u3, u5, u6} R R₃ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M P _inst_5 _inst_7 _inst_14 _inst_16) _inst_6 (LinearMap.addCommMonoid.{u4, u3, u5, u6} R R₃ M P (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_5 _inst_7 _inst_14 _inst_16 σ₁₃) _inst_15 (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u3, u3, u5, u6} R R₃ R₃ M P (CommSemiring.toSemiring.{u4} R _inst_1) 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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.lflip_apply LinearMap.lflip_applyₓ'. -/
 @[simp]
 theorem lflip_apply (m : M) (n : N) : lflip R M N P f n m = f m n :=
@@ -426,10 +363,7 @@ def lcomp (f : M →ₗ[R] Nₗ) : (Nₗ →ₗ[R] Pₗ) →ₗ[R] M →ₗ[R] P
 variable {R Pₗ}
 
 /- warning: linear_map.lcomp_apply -> LinearMap.lcomp_apply is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.lcomp_apply LinearMap.lcomp_applyₓ'. -/
 @[simp]
 theorem lcomp_apply (f : M →ₗ[R] Nₗ) (g : Nₗ →ₗ[R] Pₗ) (x : M) : lcomp R Pₗ f g x = g (f x) :=
@@ -437,10 +371,7 @@ theorem lcomp_apply (f : M →ₗ[R] Nₗ) (g : Nₗ →ₗ[R] Pₗ) (x : M) : l
 #align linear_map.lcomp_apply LinearMap.lcomp_apply
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.lcomp_apply' LinearMap.lcomp_apply'ₓ'. -/
 theorem lcomp_apply' (f : M →ₗ[R] Nₗ) (g : Nₗ →ₗ[R] Pₗ) : lcomp R Pₗ f g = g ∘ₗ f :=
   rfl
@@ -461,10 +392,7 @@ variable {P σ₂₃}
 include σ₁₃
 
 /- warning: linear_map.lcompₛₗ_apply -> LinearMap.lcompₛₗ_apply is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.lcompₛₗ_apply LinearMap.lcompₛₗ_applyₓ'. -/
 @[simp]
 theorem lcompₛₗ_apply (f : M →ₛₗ[σ₁₂] N) (g : N →ₛₗ[σ₂₃] P) (x : M) :
@@ -491,10 +419,7 @@ variable {R M Nₗ Pₗ}
 section
 
 /- warning: linear_map.llcomp_apply -> LinearMap.llcomp_apply is a dubious translation:
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(Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u2, u3} R R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_19 (LinearMap.llcomp._proof_1.{u1, u3} R _inst_1 Nₗ _inst_10 _inst_19)) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)) (LinearMap.llcomp._proof_4.{u1, u4, u2} R _inst_1 M Pₗ _inst_5 _inst_11 _inst_14 _inst_20))) => (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) -> (LinearMap.{u1, u1, max u2 u3, max u2 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u1, u1, u2, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u2, u3} R R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_19 (LinearMap.llcomp._proof_1.{u1, u3} R _inst_1 Nₗ _inst_10 _inst_19)) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)))) (LinearMap.hasCoeToFun.{u1, u1, max u3 u4, max (max u2 u3) u2 u4} R R (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R 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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.llcomp_apply LinearMap.llcomp_applyₓ'. -/
 @[simp]
 theorem llcomp_apply (f : Nₗ →ₗ[R] Pₗ) (g : M →ₗ[R] Nₗ) (x : M) :
@@ -503,10 +428,7 @@ theorem llcomp_apply (f : Nₗ →ₗ[R] Pₗ) (g : M →ₗ[R] Nₗ) (x : M) :
 #align linear_map.llcomp_apply LinearMap.llcomp_apply
 
 /- warning: linear_map.llcomp_apply' -> LinearMap.llcomp_apply' is a dubious translation:
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(LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u2, u3} R R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_19 (LinearMap.llcomp._proof_1.{u1, u3} R _inst_1 Nₗ _inst_10 _inst_19)) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R 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(CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) -> (LinearMap.{u1, u1, max u2 u3, max u2 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u1, u1, u2, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M Nₗ (CommSemiring.toSemiring.{u1} R 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_inst_11 _inst_20)))))) (LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (fun (_x : LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) => LinearMap.{u4, u4, max u3 u1, max u2 u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) 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(CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u3} R R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_19 (smulCommClass_self.{u4, u3} R Nₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u3} R Nₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10)) (Module.toMulActionWithZero.{u4, u3} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_19)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u3, u2} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R 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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.llcomp_apply' LinearMap.llcomp_apply'ₓ'. -/
 theorem llcomp_apply' (f : Nₗ →ₗ[R] Pₗ) (g : M →ₗ[R] Nₗ) : llcomp R M Nₗ Pₗ f g = f ∘ₗ g :=
   rfl
@@ -525,10 +447,7 @@ def compl₂ (g : Q →ₛₗ[σ₄₂] N) : M →ₛₗ[σ₁₃] Q →ₛₗ[
 include σ₄₃
 
 /- warning: linear_map.compl₂_apply -> LinearMap.compl₂_apply is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_map.compl₂_apply LinearMap.compl₂_applyₓ'. -/
 @[simp]
 theorem compl₂_apply (g : Q →ₛₗ[σ₄₂] N) (m : M) (q : Q) : f.compl₂ g m q = f m (g q) :=
@@ -538,10 +457,7 @@ theorem compl₂_apply (g : Q →ₛₗ[σ₄₂] N) (m : M) (q : Q) : f.compl
 omit σ₄₃
 
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 Case conversion may be inaccurate. Consider using '#align linear_map.compl₂_id LinearMap.compl₂_idₓ'. -/
 @[simp]
 theorem compl₂_id : f.compl₂ LinearMap.id = f :=
@@ -560,10 +476,7 @@ def compl₁₂ (f : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ) (g : Qₗ →ₗ[R] M
 -/
 
 /- warning: linear_map.compl₁₂_apply -> LinearMap.compl₁₂_apply is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align linear_map.compl₁₂_apply LinearMap.compl₁₂_applyₓ'. -/
 @[simp]
 theorem compl₁₂_apply (f : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ) (g : Qₗ →ₗ[R] Mₗ) (g' : Qₗ' →ₗ[R] Nₗ) (x : Qₗ)
@@ -572,10 +485,7 @@ theorem compl₁₂_apply (f : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ) (g : Qₗ →
 #align linear_map.compl₁₂_apply LinearMap.compl₁₂_apply
 
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 Case conversion may be inaccurate. Consider using '#align linear_map.compl₁₂_id_id LinearMap.compl₁₂_id_idₓ'. -/
 @[simp]
 theorem compl₁₂_id_id (f : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ) : f.compl₁₂ LinearMap.id LinearMap.id = f :=
@@ -585,10 +495,7 @@ theorem compl₁₂_id_id (f : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ) : f.compl₁
 #align linear_map.compl₁₂_id_id LinearMap.compl₁₂_id_id
 
 /- warning: linear_map.compl₁₂_inj -> LinearMap.compl₁₂_inj is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.compl₁₂_inj LinearMap.compl₁₂_injₓ'. -/
 theorem compl₁₂_inj {f₁ f₂ : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ} {g : Qₗ →ₗ[R] Mₗ} {g' : Qₗ' →ₗ[R] Nₗ}
     (hₗ : Function.Surjective g) (hᵣ : Function.Surjective g') :
@@ -615,10 +522,7 @@ def compr₂ (f : M →ₗ[R] Nₗ →ₗ[R] Pₗ) (g : Pₗ →ₗ[R] Qₗ) : M
 -/
 
 /- warning: linear_map.compr₂_apply -> LinearMap.compr₂_apply is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.compr₂_apply LinearMap.compr₂_applyₓ'. -/
 @[simp]
 theorem compr₂_apply (f : M →ₗ[R] Nₗ →ₗ[R] Pₗ) (g : Pₗ →ₗ[R] Qₗ) (m : M) (n : Nₗ) :
@@ -639,10 +543,7 @@ def lsmul : R →ₗ[R] M →ₗ[R] M :=
 variable {R M}
 
 /- warning: linear_map.lsmul_apply -> LinearMap.lsmul_apply is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.lsmul_apply LinearMap.lsmul_applyₓ'. -/
 @[simp]
 theorem lsmul_apply (r : R) (m : M) : lsmul R M r m = r • m :=
@@ -666,10 +567,7 @@ variable [AddCommGroup M] [AddCommGroup N] [AddCommGroup P]
 variable [Module R M] [Module S N] [Module R₂ P] [Module S₂ P]
 
 /- warning: linear_map.lsmul_injective -> LinearMap.lsmul_injective is a dubious translation:
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_inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_8 (LinearMap.lsmul._proof_1.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.lsmul.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8) x)))
-but is expected to have type
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(CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))] {x : R}, (Ne.{succ u2} R x (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R 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(AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => LinearMap.{u2, u2, u1, u1} R R 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(CommRing.toCommSemiring.{u2} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.addCommMonoid.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.lsmul.{u2, u1} R (CommRing.toCommSemiring.{u2} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) x)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.lsmul_injective LinearMap.lsmul_injectiveₓ'. -/
 theorem lsmul_injective [NoZeroSMulDivisors R M] {x : R} (hx : x ≠ 0) :
     Function.Injective (lsmul R M x) :=
@@ -677,10 +575,7 @@ theorem lsmul_injective [NoZeroSMulDivisors R M] {x : R} (hx : x ≠ 0) :
 #align linear_map.lsmul_injective LinearMap.lsmul_injective
 
 /- warning: linear_map.ker_lsmul -> LinearMap.ker_lsmul is a dubious translation:
-lean 3 declaration is
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_inst_8)))
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_inst_1)))) R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.addCommMonoid.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, u1} R R R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.addCommMonoid.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.lsmul.{u2, u1} R (CommRing.toCommSemiring.{u2} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) a)) (Bot.bot.{u1} (Submodule.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) (Submodule.instBotSubmodule.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.ker_lsmul LinearMap.ker_lsmulₓ'. -/
 theorem ker_lsmul [NoZeroSMulDivisors R M] {a : R} (ha : a ≠ 0) : (LinearMap.lsmul R M a).ker = ⊥ :=
   LinearMap.ker_eq_bot_of_injective (LinearMap.lsmul_injective ha)

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

@@ -105,7 +105,7 @@ variable {ρ₁₂ σ₁₂}
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} (f : M -> N -> P) {H1 : forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u7} P (f (HAdd.hAdd.{u5, u5, u5} M M M (instHAdd.{u5} M (AddZeroClass.toHasAdd.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u7, u7, u7} P P P (instHAdd.{u7} P (AddZeroClass.toHasAdd.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)))) (f m₁ n) (f m₂ n))} {H2 : forall (c : R) (m : M) (n : N), Eq.{succ u7} P (f (SMul.smul.{u1, u5} R M (SMulZeroClass.toHasSmul.{u1, u5} R M (AddZeroClass.toHasZero.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))) (SMulWithZero.toSmulZeroClass.{u1, u5} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))) (MulActionWithZero.toSMulWithZero.{u1, u5} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))) (Module.toMulActionWithZero.{u1, u5} R M _inst_1 _inst_5 _inst_16)))) c m) n) (SMul.smul.{u3, u7} R₂ P (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18)))) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) (fun (_x : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) => R -> R₂) (RingHom.hasCoeToFun.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) ρ₁₂ c) (f m n))} {H3 : forall (m : M) (n₁ : N) (n₂ : N), Eq.{succ u7} P (f m (HAdd.hAdd.{u6, u6, u6} N N N (instHAdd.{u6} N (AddZeroClass.toHasAdd.{u6} N (AddMonoid.toAddZeroClass.{u6} N (AddCommMonoid.toAddMonoid.{u6} N _inst_6)))) n₁ n₂)) (HAdd.hAdd.{u7, u7, u7} P P P (instHAdd.{u7} P (AddZeroClass.toHasAdd.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)))) (f m n₁) (f m n₂))} {H4 : forall (c : S) (m : M) (n : N), Eq.{succ u7} P (f m (SMul.smul.{u2, u6} S N (SMulZeroClass.toHasSmul.{u2, u6} S N (AddZeroClass.toHasZero.{u6} N (AddMonoid.toAddZeroClass.{u6} N (AddCommMonoid.toAddMonoid.{u6} N _inst_6))) (SMulWithZero.toSmulZeroClass.{u2, u6} S N (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)))) (AddZeroClass.toHasZero.{u6} N (AddMonoid.toAddZeroClass.{u6} N (AddCommMonoid.toAddMonoid.{u6} N _inst_6))) (MulActionWithZero.toSMulWithZero.{u2, u6} S N (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddZeroClass.toHasZero.{u6} N (AddMonoid.toAddZeroClass.{u6} N (AddCommMonoid.toAddMonoid.{u6} N _inst_6))) (Module.toMulActionWithZero.{u2, u6} S N _inst_2 _inst_6 _inst_17)))) c n)) (SMul.smul.{u4, u7} S₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) (fun (_x : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) => S -> S₂) (RingHom.hasCoeToFun.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) σ₁₂ c) (f m n))} (m : M) (n : N), Eq.{succ u7} P (coeFn.{max (succ u6) (succ u7), max (succ u6) (succ u7)} (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (fun (_x : LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) => N -> P) (LinearMap.hasCoeToFun.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (coeFn.{max (succ u5) (succ (max u6 u7)), max (succ u5) (succ (max u6 u7))} (LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (fun (_x : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) => M -> (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19)) (LinearMap.hasCoeToFun.{u1, u3, u5, max u6 u7} R R₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) (LinearMap.mk₂'ₛₗ.{u1, u2, u3, u4, u5, u6, u7} R _inst_1 S _inst_2 R₂ _inst_3 S₂ _inst_4 M N P _inst_5 _inst_6 _inst_7 _inst_16 _inst_17 _inst_18 _inst_19 _inst_30 ρ₁₂ σ₁₂ f H1 H2 H3 H4) m) n) (f m n)
 but is expected to have type
-  forall {R : Type.{u5}} [_inst_1 : Semiring.{u5} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u4}} [_inst_3 : Semiring.{u4} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u6}} {N : Type.{u3}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u6} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u5, u6} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u4, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u4, u7} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u7} S₂ P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u7} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u7} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u1, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u4, u7} R₂ P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u4, u7} R₂ P (MonoidWithZero.toZero.{u4} R₂ (Semiring.toMonoidWithZero.{u4} R₂ _inst_3)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u4, u7} R₂ P (Semiring.toMonoidWithZero.{u4} R₂ _inst_3) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u4, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : M -> N -> P) {H1 : forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u7} P (f (HAdd.hAdd.{u6, u6, u6} M M M (instHAdd.{u6} M (AddZeroClass.toAdd.{u6} M (AddMonoid.toAddZeroClass.{u6} M (AddCommMonoid.toAddMonoid.{u6} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u7, u7, u7} P P P (instHAdd.{u7} P (AddZeroClass.toAdd.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)))) (f m₁ n) (f m₂ n))} {H2 : forall (c : R) (m : M) (n : N), Eq.{succ u7} P (f (HSMul.hSMul.{u5, u6, u6} R M M (instHSMul.{u5, u6} R M (SMulZeroClass.toSMul.{u5, u6} R M (AddMonoid.toZero.{u6} M (AddCommMonoid.toAddMonoid.{u6} M _inst_5)) (SMulWithZero.toSMulZeroClass.{u5, u6} R M (MonoidWithZero.toZero.{u5} R (Semiring.toMonoidWithZero.{u5} R _inst_1)) (AddMonoid.toZero.{u6} M (AddCommMonoid.toAddMonoid.{u6} M _inst_5)) (MulActionWithZero.toSMulWithZero.{u5, u6} R M (Semiring.toMonoidWithZero.{u5} R _inst_1) (AddMonoid.toZero.{u6} M (AddCommMonoid.toAddMonoid.{u6} M _inst_5)) (Module.toMulActionWithZero.{u5, u6} R M _inst_1 _inst_5 _inst_16))))) c m) n) (HSMul.hSMul.{u4, u7, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) P P (instHSMul.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) P (SMulZeroClass.toSMul.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) P (MonoidWithZero.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) (Semiring.toMonoidWithZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) _inst_3)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) P (Semiring.toMonoidWithZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) _inst_3) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) P _inst_3 _inst_7 _inst_18))))) (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (RingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) _x) (MulHomClass.toFunLike.{max u5 u4, u5, u4} (RingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)) R R₂ (NonUnitalNonAssocSemiring.toMul.{u5} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u5} R (Semiring.toNonAssocSemiring.{u5} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u4} R₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R₂ (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u5 u4, u5, u4} (RingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)) R R₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u5} R (Semiring.toNonAssocSemiring.{u5} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R₂ (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u5 u4, u5, u4} (RingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)) R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3) (RingHom.instRingHomClassRingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3))))) ρ₁₂ c) (f m n))} {H3 : forall (m : M) (n₁ : N) (n₂ : N), Eq.{succ u7} P (f m (HAdd.hAdd.{u3, u3, u3} N N N (instHAdd.{u3} N (AddZeroClass.toAdd.{u3} N (AddMonoid.toAddZeroClass.{u3} N (AddCommMonoid.toAddMonoid.{u3} N _inst_6)))) n₁ n₂)) (HAdd.hAdd.{u7, u7, u7} P P P (instHAdd.{u7} P (AddZeroClass.toAdd.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)))) (f m n₁) (f m n₂))} {H4 : forall (c : S) (m : M) (n : N), Eq.{succ u7} P (f m (HSMul.hSMul.{u2, u3, u3} S N N (instHSMul.{u2, u3} S N (SMulZeroClass.toSMul.{u2, u3} S N (AddMonoid.toZero.{u3} N (AddCommMonoid.toAddMonoid.{u3} N _inst_6)) (SMulWithZero.toSMulZeroClass.{u2, u3} S N (MonoidWithZero.toZero.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)) (AddMonoid.toZero.{u3} N (AddCommMonoid.toAddMonoid.{u3} N _inst_6)) (MulActionWithZero.toSMulWithZero.{u2, u3} S N (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddMonoid.toZero.{u3} N (AddCommMonoid.toAddMonoid.{u3} N _inst_6)) (Module.toMulActionWithZero.{u2, u3} S N _inst_2 _inst_6 _inst_17))))) c n)) (HSMul.hSMul.{u1, u7, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) P P (instHSMul.{u1, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) P (SMulZeroClass.toSMul.{u1, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) P (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) _inst_4)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) P (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) _inst_4) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u1, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) P _inst_4 _inst_7 _inst_19))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) S (fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) S S₂ (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) (NonUnitalNonAssocSemiring.toMul.{u1} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S₂ (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) S S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S₂ (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4) (RingHom.instRingHomClassRingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4))))) σ₁₂ c) (f m n))} (m : M) (n : N), Eq.{succ u7} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) n) (FunLike.coe.{max (succ u3) (succ u7), succ u3, succ u7} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) m) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u6) (succ u3)) (succ u7), succ u6, max (succ u3) (succ u7)} (LinearMap.{u5, u4, u6, max u7 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u4, u3, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u5, u4, u6, max u3 u7} R R₂ M (LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u4, u3, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) (LinearMap.mk₂'ₛₗ.{u5, u2, u4, u1, u6, u3, u7} R _inst_1 S _inst_2 R₂ _inst_3 S₂ _inst_4 M N P _inst_5 _inst_6 _inst_7 _inst_16 _inst_17 _inst_18 _inst_19 _inst_30 ρ₁₂ σ₁₂ f H1 H2 H3 H4) m) n) (f m n)
+  forall {R : Type.{u5}} [_inst_1 : Semiring.{u5} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u4}} [_inst_3 : Semiring.{u4} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u6}} {N : Type.{u3}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u6} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u5, u6} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u4, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u4, u7} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u7} S₂ P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u7} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u7} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u1, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u4, u7} R₂ P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u4, u7} R₂ P (MonoidWithZero.toZero.{u4} R₂ (Semiring.toMonoidWithZero.{u4} R₂ _inst_3)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u4, u7} R₂ P (Semiring.toMonoidWithZero.{u4} R₂ _inst_3) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u4, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : M -> N -> P) {H1 : forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u7} P (f (HAdd.hAdd.{u6, u6, u6} M M M (instHAdd.{u6} M (AddZeroClass.toAdd.{u6} M (AddMonoid.toAddZeroClass.{u6} M (AddCommMonoid.toAddMonoid.{u6} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u7, u7, u7} P P P (instHAdd.{u7} P (AddZeroClass.toAdd.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)))) (f m₁ n) (f m₂ n))} {H2 : forall (c : R) (m : M) (n : N), Eq.{succ u7} P (f (HSMul.hSMul.{u5, u6, u6} R M M (instHSMul.{u5, u6} R M (SMulZeroClass.toSMul.{u5, u6} R M (AddMonoid.toZero.{u6} M (AddCommMonoid.toAddMonoid.{u6} M _inst_5)) (SMulWithZero.toSMulZeroClass.{u5, u6} R M (MonoidWithZero.toZero.{u5} R (Semiring.toMonoidWithZero.{u5} R _inst_1)) (AddMonoid.toZero.{u6} M (AddCommMonoid.toAddMonoid.{u6} M _inst_5)) (MulActionWithZero.toSMulWithZero.{u5, u6} R M (Semiring.toMonoidWithZero.{u5} R _inst_1) (AddMonoid.toZero.{u6} M (AddCommMonoid.toAddMonoid.{u6} M _inst_5)) (Module.toMulActionWithZero.{u5, u6} R M _inst_1 _inst_5 _inst_16))))) c m) n) (HSMul.hSMul.{u4, u7, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) P P (instHSMul.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) P (SMulZeroClass.toSMul.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) P (MonoidWithZero.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) (Semiring.toMonoidWithZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) _inst_3)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) P (Semiring.toMonoidWithZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) _inst_3) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) P _inst_3 _inst_7 _inst_18))))) (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (RingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) _x) (MulHomClass.toFunLike.{max u5 u4, u5, u4} (RingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)) R R₂ (NonUnitalNonAssocSemiring.toMul.{u5} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u5} R (Semiring.toNonAssocSemiring.{u5} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u4} R₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R₂ (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u5 u4, u5, u4} (RingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)) R R₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u5} R (Semiring.toNonAssocSemiring.{u5} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R₂ (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u5 u4, u5, u4} (RingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)) R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3) (RingHom.instRingHomClassRingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3))))) ρ₁₂ c) (f m n))} {H3 : forall (m : M) (n₁ : N) (n₂ : N), Eq.{succ u7} P (f m (HAdd.hAdd.{u3, u3, u3} N N N (instHAdd.{u3} N (AddZeroClass.toAdd.{u3} N (AddMonoid.toAddZeroClass.{u3} N (AddCommMonoid.toAddMonoid.{u3} N _inst_6)))) n₁ n₂)) (HAdd.hAdd.{u7, u7, u7} P P P (instHAdd.{u7} P (AddZeroClass.toAdd.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)))) (f m n₁) (f m n₂))} {H4 : forall (c : S) (m : M) (n : N), Eq.{succ u7} P (f m (HSMul.hSMul.{u2, u3, u3} S N N (instHSMul.{u2, u3} S N (SMulZeroClass.toSMul.{u2, u3} S N (AddMonoid.toZero.{u3} N (AddCommMonoid.toAddMonoid.{u3} N _inst_6)) (SMulWithZero.toSMulZeroClass.{u2, u3} S N (MonoidWithZero.toZero.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)) (AddMonoid.toZero.{u3} N (AddCommMonoid.toAddMonoid.{u3} N _inst_6)) (MulActionWithZero.toSMulWithZero.{u2, u3} S N (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddMonoid.toZero.{u3} N (AddCommMonoid.toAddMonoid.{u3} N _inst_6)) (Module.toMulActionWithZero.{u2, u3} S N _inst_2 _inst_6 _inst_17))))) c n)) (HSMul.hSMul.{u1, u7, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) P P (instHSMul.{u1, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) P (SMulZeroClass.toSMul.{u1, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) P (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) _inst_4)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) P (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) _inst_4) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u1, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) P _inst_4 _inst_7 _inst_19))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) S (fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) S S₂ (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) (NonUnitalNonAssocSemiring.toMul.{u1} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S₂ (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) S S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S₂ (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4) (RingHom.instRingHomClassRingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4))))) σ₁₂ c) (f m n))} (m : M) (n : N), Eq.{succ u7} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) n) (FunLike.coe.{max (succ u3) (succ u7), succ u3, succ u7} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) m) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u6) (succ u3)) (succ u7), succ u6, max (succ u3) (succ u7)} (LinearMap.{u5, u4, u6, max u7 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u4, u3, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u5, u4, u6, max u3 u7} R R₂ M (LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u4, u3, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) (LinearMap.mk₂'ₛₗ.{u5, u2, u4, u1, u6, u3, u7} R _inst_1 S _inst_2 R₂ _inst_3 S₂ _inst_4 M N P _inst_5 _inst_6 _inst_7 _inst_16 _inst_17 _inst_18 _inst_19 _inst_30 ρ₁₂ σ₁₂ f H1 H2 H3 H4) m) n) (f m n)
 Case conversion may be inaccurate. Consider using '#align linear_map.mk₂'ₛₗ_apply LinearMap.mk₂'ₛₗ_applyₓ'. -/
 @[simp]
 theorem mk₂'ₛₗ_apply (f : M → N → P) {H1 H2 H3 H4} (m : M) (n : N) :
@@ -136,7 +136,7 @@ variable {R S}
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {M : Type.{u3}} {N : Type.{u4}} {Pₗ : Type.{u5}} [_inst_5 : AddCommMonoid.{u3} M] [_inst_6 : AddCommMonoid.{u4} N] [_inst_12 : AddCommMonoid.{u5} Pₗ] [_inst_16 : Module.{u1, u3} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u4} S N _inst_2 _inst_6] [_inst_24 : Module.{u1, u5} R Pₗ _inst_1 _inst_12] [_inst_25 : Module.{u2, u5} S Pₗ _inst_2 _inst_12] [_inst_31 : SMulCommClass.{u2, u1, u5} S R Pₗ (SMulZeroClass.toHasSmul.{u2, u5} S Pₗ (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (SMulWithZero.toSmulZeroClass.{u2, u5} S Pₗ (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)))) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (MulActionWithZero.toSMulWithZero.{u2, u5} S Pₗ (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (Module.toMulActionWithZero.{u2, u5} S Pₗ _inst_2 _inst_12 _inst_25)))) (SMulZeroClass.toHasSmul.{u1, u5} R Pₗ (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (SMulWithZero.toSmulZeroClass.{u1, u5} R Pₗ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (MulActionWithZero.toSMulWithZero.{u1, u5} R Pₗ (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (Module.toMulActionWithZero.{u1, u5} R Pₗ _inst_1 _inst_12 _inst_24))))] (f : M -> N -> Pₗ) {H1 : forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u5} Pₗ (f (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toHasAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u5, u5, u5} Pₗ Pₗ Pₗ (instHAdd.{u5} Pₗ (AddZeroClass.toHasAdd.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)))) (f m₁ n) (f m₂ n))} {H2 : forall (c : R) (m : M) (n : N), Eq.{succ u5} Pₗ (f (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_5))) (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_5))) (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_5))) (Module.toMulActionWithZero.{u1, u3} R M _inst_1 _inst_5 _inst_16)))) c m) n) (SMul.smul.{u1, u5} R Pₗ (SMulZeroClass.toHasSmul.{u1, u5} R Pₗ (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (SMulWithZero.toSmulZeroClass.{u1, u5} R Pₗ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (MulActionWithZero.toSMulWithZero.{u1, u5} R Pₗ (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (Module.toMulActionWithZero.{u1, u5} R Pₗ _inst_1 _inst_12 _inst_24)))) c (f m n))} {H3 : forall (m : M) (n₁ : N) (n₂ : N), Eq.{succ u5} Pₗ (f m (HAdd.hAdd.{u4, u4, u4} N N N (instHAdd.{u4} N (AddZeroClass.toHasAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_6)))) n₁ n₂)) (HAdd.hAdd.{u5, u5, u5} Pₗ Pₗ Pₗ (instHAdd.{u5} Pₗ (AddZeroClass.toHasAdd.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)))) (f m n₁) (f m n₂))} {H4 : forall (c : S) (m : M) (n : N), Eq.{succ u5} Pₗ (f m (SMul.smul.{u2, u4} S N (SMulZeroClass.toHasSmul.{u2, u4} S N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_6))) (SMulWithZero.toSmulZeroClass.{u2, u4} S N (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_6))) (MulActionWithZero.toSMulWithZero.{u2, u4} S N (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_6))) (Module.toMulActionWithZero.{u2, u4} S N _inst_2 _inst_6 _inst_17)))) c n)) (SMul.smul.{u2, u5} S Pₗ (SMulZeroClass.toHasSmul.{u2, u5} S Pₗ (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (SMulWithZero.toSmulZeroClass.{u2, u5} S Pₗ (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)))) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (MulActionWithZero.toSMulWithZero.{u2, u5} S Pₗ (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (Module.toMulActionWithZero.{u2, u5} S Pₗ _inst_2 _inst_12 _inst_25)))) c (f m n))} (m : M) (n : N), Eq.{succ u5} Pₗ (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (LinearMap.{u2, u2, u4, u5} S S _inst_2 _inst_2 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) (fun (_x : LinearMap.{u2, u2, u4, u5} S S _inst_2 _inst_2 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) => N -> Pₗ) (LinearMap.hasCoeToFun.{u2, u2, u4, u5} S S N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) (coeFn.{max (succ u3) (succ (max u4 u5)), max (succ u3) (succ (max u4 u5))} (LinearMap.{u1, u1, u3, max u4 u5} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M (LinearMap.{u2, u2, u4, u5} S S _inst_2 _inst_2 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) _inst_5 (LinearMap.addCommMonoid.{u2, u2, u4, u5} S S N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) _inst_16 (LinearMap.module.{u2, u2, u1, u4, u5} S S R N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) _inst_1 _inst_24 _inst_31)) (fun (_x : LinearMap.{u1, u1, u3, max u4 u5} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M (LinearMap.{u2, u2, u4, u5} S S _inst_2 _inst_2 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) _inst_5 (LinearMap.addCommMonoid.{u2, u2, u4, u5} S S N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) _inst_16 (LinearMap.module.{u2, u2, u1, u4, u5} S S R N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) _inst_1 _inst_24 _inst_31)) => M -> (LinearMap.{u2, u2, u4, u5} S S _inst_2 _inst_2 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25)) (LinearMap.hasCoeToFun.{u1, u1, u3, max u4 u5} R R M (LinearMap.{u2, u2, u4, u5} S S _inst_2 _inst_2 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) _inst_1 _inst_1 _inst_5 (LinearMap.addCommMonoid.{u2, u2, u4, u5} S S N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) _inst_16 (LinearMap.module.{u2, u2, u1, u4, u5} S S R N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) _inst_1 _inst_24 _inst_31) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (LinearMap.mk₂'.{u1, u2, u3, u4, u5} R _inst_1 S _inst_2 M N Pₗ _inst_5 _inst_6 _inst_12 _inst_16 _inst_17 _inst_24 _inst_25 _inst_31 f H1 H2 H3 H4) m) n) (f m n)
 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Semiring.{u3} R] {S : Type.{u1}} [_inst_2 : Semiring.{u1} S] {M : Type.{u4}} {N : Type.{u2}} {Pₗ : Type.{u5}} [_inst_5 : AddCommMonoid.{u4} M] [_inst_6 : AddCommMonoid.{u2} N] [_inst_12 : AddCommMonoid.{u5} Pₗ] [_inst_16 : Module.{u3, u4} R M _inst_1 _inst_5] [_inst_17 : Module.{u1, u2} S N _inst_2 _inst_6] [_inst_24 : Module.{u3, u5} R Pₗ _inst_1 _inst_12] [_inst_25 : Module.{u1, u5} S Pₗ _inst_2 _inst_12] [_inst_31 : SMulCommClass.{u1, u3, u5} S R Pₗ (SMulZeroClass.toSMul.{u1, u5} S Pₗ (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (SMulWithZero.toSMulZeroClass.{u1, u5} S Pₗ (MonoidWithZero.toZero.{u1} S (Semiring.toMonoidWithZero.{u1} S _inst_2)) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (MulActionWithZero.toSMulWithZero.{u1, u5} S Pₗ (Semiring.toMonoidWithZero.{u1} S _inst_2) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (Module.toMulActionWithZero.{u1, u5} S Pₗ _inst_2 _inst_12 _inst_25)))) (SMulZeroClass.toSMul.{u3, u5} R Pₗ (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (SMulWithZero.toSMulZeroClass.{u3, u5} R Pₗ (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (MulActionWithZero.toSMulWithZero.{u3, u5} R Pₗ (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (Module.toMulActionWithZero.{u3, u5} R Pₗ _inst_1 _inst_12 _inst_24))))] (f : M -> N -> Pₗ) {H1 : forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u5} Pₗ (f (HAdd.hAdd.{u4, u4, u4} M M M (instHAdd.{u4} M (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u5, u5, u5} Pₗ Pₗ Pₗ (instHAdd.{u5} Pₗ (AddZeroClass.toAdd.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)))) (f m₁ n) (f m₂ n))} {H2 : forall 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(MulActionWithZero.toSMulWithZero.{u3, u5} R Pₗ (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (Module.toMulActionWithZero.{u3, u5} R Pₗ _inst_1 _inst_12 _inst_24))))) c (f m n))} {H3 : forall (m : M) (n₁ : N) (n₂ : N), Eq.{succ u5} Pₗ (f m (HAdd.hAdd.{u2, u2, u2} N N N (instHAdd.{u2} N (AddZeroClass.toAdd.{u2} N (AddMonoid.toAddZeroClass.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_6)))) n₁ n₂)) (HAdd.hAdd.{u5, u5, u5} Pₗ Pₗ Pₗ (instHAdd.{u5} Pₗ (AddZeroClass.toAdd.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)))) (f m n₁) (f m n₂))} {H4 : forall (c : S) (m : M) (n : N), Eq.{succ u5} Pₗ (f m (HSMul.hSMul.{u1, u2, u2} S N N (instHSMul.{u1, u2} S N (SMulZeroClass.toSMul.{u1, u2} S N (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_6)) (SMulWithZero.toSMulZeroClass.{u1, u2} S N (MonoidWithZero.toZero.{u1} S (Semiring.toMonoidWithZero.{u1} S _inst_2)) (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_6)) (MulActionWithZero.toSMulWithZero.{u1, u2} S N (Semiring.toMonoidWithZero.{u1} S _inst_2) (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_6)) (Module.toMulActionWithZero.{u1, u2} S N _inst_2 _inst_6 _inst_17))))) c n)) (HSMul.hSMul.{u1, u5, u5} S Pₗ Pₗ (instHSMul.{u1, u5} S Pₗ (SMulZeroClass.toSMul.{u1, u5} S Pₗ (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (SMulWithZero.toSMulZeroClass.{u1, u5} S Pₗ (MonoidWithZero.toZero.{u1} S (Semiring.toMonoidWithZero.{u1} S _inst_2)) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (MulActionWithZero.toSMulWithZero.{u1, u5} S Pₗ (Semiring.toMonoidWithZero.{u1} S _inst_2) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (Module.toMulActionWithZero.{u1, u5} S Pₗ _inst_2 _inst_12 _inst_25))))) c (f m n))} (m : M) (n : N), Eq.{succ u5} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => Pₗ) n) (FunLike.coe.{max (succ u2) (succ u5), succ u2, succ u5} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u1, u1, u2, u5} S S _inst_2 _inst_2 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) m) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => Pₗ) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u5} S S N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u5), succ u4, max (succ u2) (succ u5)} (LinearMap.{u3, u3, u4, max u5 u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M (LinearMap.{u1, u1, u2, u5} S S _inst_2 _inst_2 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) _inst_5 (LinearMap.addCommMonoid.{u1, u1, u2, u5} S S N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u3, u2, u5} S S R N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) _inst_1 _inst_24 _inst_31)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u1, u1, u2, u5} S S _inst_2 _inst_2 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u4, max u2 u5} R R M (LinearMap.{u1, u1, u2, u5} S S _inst_2 _inst_2 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) _inst_1 _inst_1 _inst_5 (LinearMap.addCommMonoid.{u1, u1, u2, u5} S S N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u3, u2, u5} S S R N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) _inst_1 _inst_24 _inst_31) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1))) (LinearMap.mk₂'.{u3, u1, u4, u2, u5} R _inst_1 S _inst_2 M N Pₗ _inst_5 _inst_6 _inst_12 _inst_16 _inst_17 _inst_24 _inst_25 _inst_31 f H1 H2 H3 H4) m) n) (f m n)
+  forall {R : Type.{u3}} [_inst_1 : Semiring.{u3} R] {S : Type.{u1}} [_inst_2 : Semiring.{u1} S] {M : Type.{u4}} {N : Type.{u2}} {Pₗ : Type.{u5}} [_inst_5 : AddCommMonoid.{u4} M] [_inst_6 : AddCommMonoid.{u2} N] [_inst_12 : AddCommMonoid.{u5} Pₗ] [_inst_16 : Module.{u3, u4} R M _inst_1 _inst_5] [_inst_17 : Module.{u1, u2} S N _inst_2 _inst_6] [_inst_24 : Module.{u3, u5} R Pₗ _inst_1 _inst_12] [_inst_25 : Module.{u1, u5} S Pₗ _inst_2 _inst_12] [_inst_31 : SMulCommClass.{u1, u3, u5} S R Pₗ (SMulZeroClass.toSMul.{u1, u5} S Pₗ (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (SMulWithZero.toSMulZeroClass.{u1, u5} S Pₗ (MonoidWithZero.toZero.{u1} S (Semiring.toMonoidWithZero.{u1} S _inst_2)) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (MulActionWithZero.toSMulWithZero.{u1, u5} S Pₗ (Semiring.toMonoidWithZero.{u1} S _inst_2) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (Module.toMulActionWithZero.{u1, u5} S Pₗ _inst_2 _inst_12 _inst_25)))) (SMulZeroClass.toSMul.{u3, u5} R Pₗ (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (SMulWithZero.toSMulZeroClass.{u3, u5} R Pₗ (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (MulActionWithZero.toSMulWithZero.{u3, u5} R Pₗ (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (Module.toMulActionWithZero.{u3, u5} R Pₗ _inst_1 _inst_12 _inst_24))))] (f : M -> N -> Pₗ) {H1 : forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u5} Pₗ (f (HAdd.hAdd.{u4, u4, u4} M M M (instHAdd.{u4} M (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u5, u5, u5} Pₗ Pₗ Pₗ (instHAdd.{u5} Pₗ (AddZeroClass.toAdd.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)))) (f m₁ n) (f m₂ n))} {H2 : forall (c : R) (m : M) (n : N), Eq.{succ u5} Pₗ (f (HSMul.hSMul.{u3, u4, u4} R M M (instHSMul.{u3, u4} R M (SMulZeroClass.toSMul.{u3, u4} R M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_5)) (SMulWithZero.toSMulZeroClass.{u3, u4} R M (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_5)) (MulActionWithZero.toSMulWithZero.{u3, u4} R M (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_5)) (Module.toMulActionWithZero.{u3, u4} R M _inst_1 _inst_5 _inst_16))))) c m) n) (HSMul.hSMul.{u3, u5, u5} R Pₗ Pₗ (instHSMul.{u3, u5} R Pₗ (SMulZeroClass.toSMul.{u3, u5} R Pₗ (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (SMulWithZero.toSMulZeroClass.{u3, u5} R Pₗ (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (MulActionWithZero.toSMulWithZero.{u3, u5} R Pₗ (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (Module.toMulActionWithZero.{u3, u5} R Pₗ _inst_1 _inst_12 _inst_24))))) c (f m n))} {H3 : forall (m : M) (n₁ : N) (n₂ : N), Eq.{succ u5} Pₗ (f m (HAdd.hAdd.{u2, u2, u2} N N N (instHAdd.{u2} N (AddZeroClass.toAdd.{u2} N (AddMonoid.toAddZeroClass.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_6)))) n₁ n₂)) (HAdd.hAdd.{u5, u5, u5} Pₗ Pₗ Pₗ (instHAdd.{u5} Pₗ (AddZeroClass.toAdd.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)))) (f m n₁) (f m n₂))} {H4 : forall (c : S) (m : M) (n : N), Eq.{succ u5} Pₗ (f m (HSMul.hSMul.{u1, u2, u2} S N N (instHSMul.{u1, u2} S N (SMulZeroClass.toSMul.{u1, u2} S N (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_6)) (SMulWithZero.toSMulZeroClass.{u1, u2} S N (MonoidWithZero.toZero.{u1} S (Semiring.toMonoidWithZero.{u1} S _inst_2)) (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_6)) (MulActionWithZero.toSMulWithZero.{u1, u2} S N (Semiring.toMonoidWithZero.{u1} S _inst_2) (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_6)) (Module.toMulActionWithZero.{u1, u2} S N _inst_2 _inst_6 _inst_17))))) c n)) (HSMul.hSMul.{u1, u5, u5} S Pₗ Pₗ (instHSMul.{u1, u5} S Pₗ (SMulZeroClass.toSMul.{u1, u5} S Pₗ (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (SMulWithZero.toSMulZeroClass.{u1, u5} S Pₗ (MonoidWithZero.toZero.{u1} S (Semiring.toMonoidWithZero.{u1} S _inst_2)) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (MulActionWithZero.toSMulWithZero.{u1, u5} S Pₗ (Semiring.toMonoidWithZero.{u1} S _inst_2) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (Module.toMulActionWithZero.{u1, u5} S Pₗ _inst_2 _inst_12 _inst_25))))) c (f m n))} (m : M) (n : N), Eq.{succ u5} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => Pₗ) n) (FunLike.coe.{max (succ u2) (succ u5), succ u2, succ u5} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => LinearMap.{u1, u1, u2, u5} S S _inst_2 _inst_2 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) m) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => Pₗ) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u5} S S N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u5), succ u4, max (succ u2) (succ u5)} (LinearMap.{u3, u3, u4, max u5 u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M (LinearMap.{u1, u1, u2, u5} S S _inst_2 _inst_2 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) _inst_5 (LinearMap.addCommMonoid.{u1, u1, u2, u5} S S N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u3, u2, u5} S S R N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) _inst_1 _inst_24 _inst_31)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => LinearMap.{u1, u1, u2, u5} S S _inst_2 _inst_2 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u4, max u2 u5} R R M (LinearMap.{u1, u1, u2, u5} S S _inst_2 _inst_2 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) _inst_1 _inst_1 _inst_5 (LinearMap.addCommMonoid.{u1, u1, u2, u5} S S N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u3, u2, u5} S S R N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) _inst_1 _inst_24 _inst_31) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1))) (LinearMap.mk₂'.{u3, u1, u4, u2, u5} R _inst_1 S _inst_2 M N Pₗ _inst_5 _inst_6 _inst_12 _inst_16 _inst_17 _inst_24 _inst_25 _inst_31 f H1 H2 H3 H4) m) n) (f m n)
 Case conversion may be inaccurate. Consider using '#align linear_map.mk₂'_apply LinearMap.mk₂'_applyₓ'. -/
 @[simp]
 theorem mk₂'_apply (f : M → N → Pₗ) {H1 H2 H3 H4} (m : M) (n : N) :
@@ -148,7 +148,7 @@ theorem mk₂'_apply (f : M → N → Pₗ) {H1 H2 H3 H4} (m : M) (n : N) :
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} {f : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)} {g : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)}, (forall (m : M) (n : N), Eq.{succ u7} P (coeFn.{max (succ u6) (succ u7), max (succ u6) (succ u7)} (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (fun (_x : LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) => N -> P) (LinearMap.hasCoeToFun.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (coeFn.{max (succ u5) (succ (max u6 u7)), max (succ u5) (succ (max u6 u7))} (LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (fun (_x : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) => M -> (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19)) (LinearMap.hasCoeToFun.{u1, u3, u5, max u6 u7} R R₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f m) n) (coeFn.{max (succ u6) (succ u7), max (succ u6) (succ u7)} (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (fun (_x : LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) => N -> P) (LinearMap.hasCoeToFun.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (coeFn.{max (succ u5) (succ (max u6 u7)), max (succ u5) (succ (max u6 u7))} (LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (fun (_x : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) => M -> (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19)) (LinearMap.hasCoeToFun.{u1, u3, u5, max u6 u7} R R₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) g m) n)) -> (Eq.{max (succ u5) (succ (max u6 u7))} (LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) f g)
 but is expected to have type
-  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} {f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)} {g : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)}, (forall (m : M) (n : N), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) n) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) m) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f m) n) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) m) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) g m) n)) -> (Eq.{max (max (succ u5) (succ u3)) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) f g)
+  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} {f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)} {g : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)}, (forall (m : M) (n : N), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) n) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) m) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f m) n) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) m) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) g m) n)) -> (Eq.{max (max (succ u5) (succ u3)) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) f g)
 Case conversion may be inaccurate. Consider using '#align linear_map.ext₂ LinearMap.ext₂ₓ'. -/
 theorem ext₂ {f g : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P} (H : ∀ m n, f m n = g m n) : f = g :=
   LinearMap.ext fun m => LinearMap.ext fun n => H m n
@@ -158,7 +158,7 @@ theorem ext₂ {f g : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P} (H : ∀ m
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) 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 but is expected to have type
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LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) g x) y))
+  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} {f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)} {g : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)}, (Eq.{max (max (succ u5) (succ u3)) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) f g) -> (forall (x : M) (y : N), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) x) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f x) y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) x) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) g x) y))
 Case conversion may be inaccurate. Consider using '#align linear_map.congr_fun₂ LinearMap.congr_fun₂ₓ'. -/
 theorem congr_fun₂ {f g : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P} (h : f = g) (x y) : f x y = g x y :=
   LinearMap.congr_fun (LinearMap.congr_fun h x) y
@@ -184,7 +184,7 @@ end
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} (f : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (m : M) (n : N), Eq.{succ u7} P (coeFn.{max (succ u5) (succ u7), max (succ u5) (succ u7)} (LinearMap.{u1, u3, u5, u7} R R₂ _inst_1 _inst_3 ρ₁₂ M P _inst_5 _inst_7 _inst_16 _inst_18) (fun (_x : LinearMap.{u1, u3, u5, u7} R R₂ _inst_1 _inst_3 ρ₁₂ M P _inst_5 _inst_7 _inst_16 _inst_18) => M -> P) (LinearMap.hasCoeToFun.{u1, u3, u5, u7} R R₂ M P _inst_1 _inst_3 _inst_5 _inst_7 _inst_16 _inst_18 ρ₁₂) (coeFn.{max (succ u6) (succ (max u5 u7)), max (succ u6) (succ (max u5 u7))} (LinearMap.{u2, u4, u6, max u5 u7} S S₂ _inst_2 _inst_4 σ₁₂ N (LinearMap.{u1, u3, u5, u7} R R₂ _inst_1 _inst_3 ρ₁₂ M P _inst_5 _inst_7 _inst_16 _inst_18) _inst_6 (LinearMap.addCommMonoid.{u1, u3, u5, u7} R R₂ M P _inst_1 _inst_3 _inst_5 _inst_7 _inst_16 _inst_18 ρ₁₂) _inst_17 (LinearMap.module.{u1, u3, u4, u5, u7} R R₂ S₂ M P _inst_1 _inst_3 _inst_5 _inst_7 _inst_16 _inst_18 ρ₁₂ _inst_4 _inst_19 (LinearMap.flip._proof_1.{u3, u4, u7} R₂ _inst_3 S₂ _inst_4 P _inst_7 _inst_18 _inst_19 _inst_30))) (fun (_x : LinearMap.{u2, u4, u6, max u5 u7} S S₂ _inst_2 _inst_4 σ₁₂ N (LinearMap.{u1, u3, u5, u7} R R₂ _inst_1 _inst_3 ρ₁₂ M P _inst_5 _inst_7 _inst_16 _inst_18) _inst_6 (LinearMap.addCommMonoid.{u1, u3, u5, u7} R R₂ M P _inst_1 _inst_3 _inst_5 _inst_7 _inst_16 _inst_18 ρ₁₂) _inst_17 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σ₁₂ f) n) m) (coeFn.{max (succ u6) (succ u7), max (succ u6) (succ u7)} (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (fun (_x : LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) => N -> P) (LinearMap.hasCoeToFun.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (coeFn.{max (succ u5) (succ (max u6 u7)), max (succ u5) (succ (max u6 u7))} (LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (fun (_x : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P 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 but is expected to have type
-  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (m : M) (n : N), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => P) m) (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => LinearMap.{u7, u6, u5, u4} R R₂ _inst_1 _inst_3 ρ₁₂ M P _inst_5 _inst_7 _inst_16 _inst_18) n) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => P) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, u4} R R₂ M P _inst_1 _inst_3 _inst_5 _inst_7 _inst_16 _inst_18 ρ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u3, max (succ u5) (succ u4)} (LinearMap.{u2, u1, u3, max u4 u5} S S₂ _inst_2 _inst_4 σ₁₂ N (LinearMap.{u7, u6, u5, u4} R R₂ _inst_1 _inst_3 ρ₁₂ M P _inst_5 _inst_7 _inst_16 _inst_18) _inst_6 (LinearMap.addCommMonoid.{u7, u6, u5, u4} R R₂ M P _inst_1 _inst_3 _inst_5 _inst_7 _inst_16 _inst_18 ρ₁₂) _inst_17 (LinearMap.instModuleLinearMapAddCommMonoid.{u7, u6, u1, u5, u4} R R₂ S₂ M P _inst_1 _inst_3 _inst_5 _inst_7 _inst_16 _inst_18 ρ₁₂ _inst_4 _inst_19 (SMulCommClass.symm.{u4, u6, u1} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18)))) _inst_30))) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => LinearMap.{u7, u6, u5, u4} R R₂ _inst_1 _inst_3 ρ₁₂ M P _inst_5 _inst_7 _inst_16 _inst_18) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, max u5 u4} S S₂ N (LinearMap.{u7, u6, u5, u4} R R₂ _inst_1 _inst_3 ρ₁₂ M P _inst_5 _inst_7 _inst_16 _inst_18) _inst_2 _inst_4 _inst_6 (LinearMap.addCommMonoid.{u7, u6, u5, u4} R R₂ M P _inst_1 _inst_3 _inst_5 _inst_7 _inst_16 _inst_18 ρ₁₂) _inst_17 (LinearMap.instModuleLinearMapAddCommMonoid.{u7, u6, u1, u5, u4} R R₂ S₂ M P _inst_1 _inst_3 _inst_5 _inst_7 _inst_16 _inst_18 ρ₁₂ _inst_4 _inst_19 (SMulCommClass.symm.{u4, u6, u1} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18)))) _inst_30)) σ₁₂) (LinearMap.flip.{u7, u2, u6, u1, u5, u3, u4} R _inst_1 S _inst_2 R₂ _inst_3 S₂ _inst_4 M N P _inst_5 _inst_6 _inst_7 _inst_16 _inst_17 _inst_18 _inst_19 _inst_30 ρ₁₂ σ₁₂ f) n) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) m) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f m) n)
+  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (m : M) (n : N), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => P) m) (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => LinearMap.{u7, u6, u5, u4} R R₂ _inst_1 _inst_3 ρ₁₂ M P _inst_5 _inst_7 _inst_16 _inst_18) n) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => P) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, u4} R R₂ M P _inst_1 _inst_3 _inst_5 _inst_7 _inst_16 _inst_18 ρ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u3, max (succ u5) (succ u4)} (LinearMap.{u2, u1, u3, max u4 u5} S S₂ _inst_2 _inst_4 σ₁₂ N 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u1, u5, u4} R R₂ S₂ M P _inst_1 _inst_3 _inst_5 _inst_7 _inst_16 _inst_18 ρ₁₂ _inst_4 _inst_19 (SMulCommClass.symm.{u4, u6, u1} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18)))) _inst_30)) σ₁₂) (LinearMap.flip.{u7, u2, u6, u1, u5, u3, u4} R _inst_1 S _inst_2 R₂ _inst_3 S₂ _inst_4 M N P _inst_5 _inst_6 _inst_7 _inst_16 _inst_17 _inst_18 _inst_19 _inst_30 ρ₁₂ σ₁₂ f) n) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) m) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f m) n)
 Case conversion may be inaccurate. Consider using '#align linear_map.flip_apply LinearMap.flip_applyₓ'. -/
 @[simp]
 theorem flip_apply (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (m : M) (n : N) : flip f n m = f m n :=
@@ -220,7 +220,7 @@ theorem flip_inj {f g : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P} (H : flip
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} (f : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (y : N), Eq.{succ u7} P (coeFn.{max (succ u6) (succ u7), max (succ u6) (succ u7)} (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (fun (_x : LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) => N -> P) (LinearMap.hasCoeToFun.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (coeFn.{max (succ u5) (succ (max u6 u7)), max (succ u5) (succ (max u6 u7))} (LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (fun (_x : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) => M -> (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19)) (LinearMap.hasCoeToFun.{u1, u3, u5, max u6 u7} R R₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f (OfNat.ofNat.{u5} M 0 (OfNat.mk.{u5} M 0 (Zero.zero.{u5} M (AddZeroClass.toHasZero.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))))))) y) (OfNat.ofNat.{u7} P 0 (OfNat.mk.{u7} P 0 (Zero.zero.{u7} P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))))))
 but is expected to have type
-  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (y : N), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (OfNat.ofNat.{u5} M 0 (Zero.toOfNat0.{u5} M (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))))) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f (OfNat.ofNat.{u5} M 0 (Zero.toOfNat0.{u5} M (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))))) y) (OfNat.ofNat.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) y) 0 (Zero.toOfNat0.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) y) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) y) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) y) _inst_7))))
+  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (y : N), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (OfNat.ofNat.{u5} M 0 (Zero.toOfNat0.{u5} M (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))))) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f (OfNat.ofNat.{u5} M 0 (Zero.toOfNat0.{u5} M (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))))) y) (OfNat.ofNat.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) y) 0 (Zero.toOfNat0.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) y) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) y) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) y) _inst_7))))
 Case conversion may be inaccurate. Consider using '#align linear_map.map_zero₂ LinearMap.map_zero₂ₓ'. -/
 theorem map_zero₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (y) : f 0 y = 0 :=
   (flip f y).map_zero
@@ -230,7 +230,7 @@ theorem map_zero₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (y) : f
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {N : Type.{u5}} {M' : Type.{u6}} {P' : Type.{u7}} [_inst_6 : AddCommMonoid.{u5} N] [_inst_13 : AddCommGroup.{u6} M'] [_inst_15 : AddCommGroup.{u7} P'] [_inst_17 : Module.{u2, u5} S N _inst_2 _inst_6] [_inst_26 : Module.{u1, u6} R M' _inst_1 (AddCommGroup.toAddCommMonoid.{u6} M' _inst_13)] [_inst_28 : Module.{u3, u7} R₂ P' _inst_3 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)] [_inst_29 : Module.{u4, u7} S₂ P' _inst_4 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)] [_inst_32 : SMulCommClass.{u4, u3, u7} S₂ R₂ P' (SMulZeroClass.toHasSmul.{u4, u7} S₂ P' (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P' (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P' (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (Module.toMulActionWithZero.{u4, u7} S₂ P' _inst_4 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_29)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P' (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P' (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P' (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (Module.toMulActionWithZero.{u3, u7} R₂ P' _inst_3 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_28))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} (f : LinearMap.{u1, u3, u6, max u5 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u6} M' _inst_13) (LinearMap.addCommMonoid.{u2, u4, u5, u7} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.module.{u2, u4, u3, u5, u7} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) (x : M') (y : N), Eq.{succ u7} P' (coeFn.{max (succ u5) (succ u7), max (succ u5) (succ u7)} (LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29) (fun (_x : LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29) => N -> P') (LinearMap.hasCoeToFun.{u2, u4, u5, u7} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂) (coeFn.{max (succ u6) (succ (max u5 u7)), max (succ u6) (succ (max u5 u7))} (LinearMap.{u1, u3, u6, max u5 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u6} M' _inst_13) (LinearMap.addCommMonoid.{u2, u4, u5, u7} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.module.{u2, u4, u3, u5, u7} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) (fun (_x : LinearMap.{u1, u3, u6, max u5 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u6} M' _inst_13) (LinearMap.addCommMonoid.{u2, u4, u5, u7} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.module.{u2, u4, u3, u5, u7} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) => M' -> (LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29)) (LinearMap.hasCoeToFun.{u1, u3, u6, max u5 u7} R R₂ M' (LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29) _inst_1 _inst_3 (AddCommGroup.toAddCommMonoid.{u6} M' _inst_13) (LinearMap.addCommMonoid.{u2, u4, u5, u7} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.module.{u2, u4, u3, u5, u7} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32) ρ₁₂) f (Neg.neg.{u6} M' (SubNegMonoid.toHasNeg.{u6} M' (AddGroup.toSubNegMonoid.{u6} M' (AddCommGroup.toAddGroup.{u6} M' _inst_13))) x)) y) (Neg.neg.{u7} P' (SubNegMonoid.toHasNeg.{u7} P' (AddGroup.toSubNegMonoid.{u7} P' (AddCommGroup.toAddGroup.{u7} P' _inst_15))) (coeFn.{max (succ u5) (succ u7), max (succ u5) (succ u7)} (LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29) (fun (_x : LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29) => N -> P') (LinearMap.hasCoeToFun.{u2, u4, u5, u7} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂) (coeFn.{max (succ u6) (succ (max u5 u7)), max (succ u6) (succ (max u5 u7))} (LinearMap.{u1, u3, u6, max u5 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u6} M' _inst_13) (LinearMap.addCommMonoid.{u2, u4, u5, u7} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.module.{u2, u4, u3, u5, u7} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) (fun (_x : LinearMap.{u1, u3, u6, max u5 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u6} M' _inst_13) (LinearMap.addCommMonoid.{u2, u4, u5, u7} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.module.{u2, u4, u3, u5, u7} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) => M' -> (LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29)) 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 but is expected to have type
-  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {N : Type.{u3}} {M' : Type.{u5}} {P' : Type.{u4}} [_inst_6 : AddCommMonoid.{u3} N] [_inst_13 : AddCommGroup.{u5} M'] [_inst_15 : AddCommGroup.{u4} P'] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_26 : Module.{u7, u5} R M' _inst_1 (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13)] [_inst_28 : Module.{u6, u4} R₂ P' _inst_3 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15)] [_inst_29 : Module.{u1, u4} S₂ P' _inst_4 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15)] [_inst_32 : SMulCommClass.{u1, u6, u4} S₂ R₂ P' (SMulZeroClass.toSMul.{u1, u4} S₂ P' (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) 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(AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P' (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P' (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (Module.toMulActionWithZero.{u6, u4} R₂ P' _inst_3 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_28))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) (x : M') (y : N), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P') y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (Neg.neg.{u5} M' (NegZeroClass.toNeg.{u5} M' (SubNegZeroMonoid.toNegZeroClass.{u5} M' (SubtractionMonoid.toSubNegZeroMonoid.{u5} M' (SubtractionCommMonoid.toSubtractionMonoid.{u5} M' (AddCommGroup.toDivisionAddCommMonoid.{u5} M' _inst_13))))) x)) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P') _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) (FunLike.coe.{max (max (succ u3) (succ u5)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) M' (fun (_x : M') => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _inst_1 _inst_3 (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32) ρ₁₂) f (Neg.neg.{u5} M' (NegZeroClass.toNeg.{u5} M' (SubNegZeroMonoid.toNegZeroClass.{u5} M' (SubtractionMonoid.toSubNegZeroMonoid.{u5} M' (SubtractionCommMonoid.toSubtractionMonoid.{u5} M' (AddCommGroup.toDivisionAddCommMonoid.{u5} M' _inst_13))))) x)) y) (Neg.neg.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P') y) (NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P') y) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P') y) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P') y) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P') y) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P') y) _inst_15))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) x) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P') _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) (FunLike.coe.{max (max (succ u3) (succ u5)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) M' (fun (_x : M') => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _inst_1 _inst_3 (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32) ρ₁₂) f x) y))
+  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {N : Type.{u3}} {M' : Type.{u5}} {P' : Type.{u4}} [_inst_6 : AddCommMonoid.{u3} N] [_inst_13 : AddCommGroup.{u5} M'] [_inst_15 : AddCommGroup.{u4} P'] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_26 : Module.{u7, u5} R M' _inst_1 (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13)] [_inst_28 : Module.{u6, u4} R₂ P' _inst_3 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15)] [_inst_29 : Module.{u1, u4} S₂ P' _inst_4 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15)] [_inst_32 : SMulCommClass.{u1, u6, u4} S₂ R₂ P' (SMulZeroClass.toSMul.{u1, u4} S₂ P' (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P' (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P' (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (Module.toMulActionWithZero.{u1, u4} S₂ P' _inst_4 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_29)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P' (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P' (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P' (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (Module.toMulActionWithZero.{u6, u4} R₂ P' _inst_3 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_28))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) (x : M') (y : N), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P') y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (Neg.neg.{u5} M' (NegZeroClass.toNeg.{u5} M' (SubNegZeroMonoid.toNegZeroClass.{u5} M' (SubtractionMonoid.toSubNegZeroMonoid.{u5} M' (SubtractionCommMonoid.toSubtractionMonoid.{u5} M' (AddCommGroup.toDivisionAddCommMonoid.{u5} M' _inst_13))))) x)) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P') _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) (FunLike.coe.{max (max (succ u3) (succ u5)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) M' (fun (_x : M') => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _inst_1 _inst_3 (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32) ρ₁₂) f (Neg.neg.{u5} M' (NegZeroClass.toNeg.{u5} M' (SubNegZeroMonoid.toNegZeroClass.{u5} M' (SubtractionMonoid.toSubNegZeroMonoid.{u5} M' (SubtractionCommMonoid.toSubtractionMonoid.{u5} M' (AddCommGroup.toDivisionAddCommMonoid.{u5} M' _inst_13))))) x)) y) (Neg.neg.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P') y) (NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P') y) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P') y) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P') y) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P') y) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P') y) _inst_15))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) x) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P') _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) (FunLike.coe.{max (max (succ u3) (succ u5)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) M' (fun (_x : M') => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _inst_1 _inst_3 (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32) ρ₁₂) f x) y))
 Case conversion may be inaccurate. Consider using '#align linear_map.map_neg₂ LinearMap.map_neg₂ₓ'. -/
 theorem map_neg₂ (f : M' →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P') (x y) : f (-x) y = -f x y :=
   (flip f y).map_neg _
@@ -240,7 +240,7 @@ theorem map_neg₂ (f : M' →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P') (x y) :
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {N : Type.{u5}} {M' : Type.{u6}} {P' : Type.{u7}} [_inst_6 : AddCommMonoid.{u5} N] [_inst_13 : AddCommGroup.{u6} M'] [_inst_15 : AddCommGroup.{u7} P'] [_inst_17 : Module.{u2, u5} S N _inst_2 _inst_6] [_inst_26 : Module.{u1, u6} R M' _inst_1 (AddCommGroup.toAddCommMonoid.{u6} M' _inst_13)] [_inst_28 : Module.{u3, u7} R₂ P' _inst_3 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)] [_inst_29 : Module.{u4, u7} S₂ P' _inst_4 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)] [_inst_32 : SMulCommClass.{u4, u3, u7} S₂ R₂ P' (SMulZeroClass.toHasSmul.{u4, u7} S₂ P' (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P' (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P' (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (Module.toMulActionWithZero.{u4, u7} S₂ P' _inst_4 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_29)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P' (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P' (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P' (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (Module.toMulActionWithZero.{u3, u7} R₂ P' _inst_3 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_28))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} (f : LinearMap.{u1, u3, u6, max u5 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u6} M' _inst_13) (LinearMap.addCommMonoid.{u2, u4, u5, u7} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.module.{u2, u4, u3, u5, u7} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) (x : M') (y : M') (z : N), Eq.{succ u7} P' (coeFn.{max (succ u5) (succ u7), max (succ u5) (succ u7)} (LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29) (fun (_x : LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29) => N -> P') (LinearMap.hasCoeToFun.{u2, u4, u5, u7} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂) (coeFn.{max (succ u6) (succ (max u5 u7)), max (succ u6) (succ (max u5 u7))} 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 but is expected to have type
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(x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) y) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P') _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) (FunLike.coe.{max (max (succ u3) (succ u5)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) M' (fun (_x : M') => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _inst_1 _inst_3 (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32) ρ₁₂) f y) z))
+  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {N : Type.{u3}} {M' : Type.{u5}} {P' : Type.{u4}} [_inst_6 : AddCommMonoid.{u3} N] [_inst_13 : AddCommGroup.{u5} M'] [_inst_15 : AddCommGroup.{u4} P'] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_26 : Module.{u7, u5} R M' _inst_1 (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13)] [_inst_28 : Module.{u6, u4} R₂ P' _inst_3 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15)] [_inst_29 : Module.{u1, u4} S₂ P' _inst_4 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15)] [_inst_32 : SMulCommClass.{u1, u6, u4} S₂ R₂ P' (SMulZeroClass.toSMul.{u1, u4} S₂ P' (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P' (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P' (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (Module.toMulActionWithZero.{u1, u4} S₂ P' _inst_4 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_29)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P' (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P' (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P' (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (Module.toMulActionWithZero.{u6, u4} R₂ P' _inst_3 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_28))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) (x : M') (y : M') (z : N), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P') z) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (HSub.hSub.{u5, u5, u5} M' M' M' (instHSub.{u5} M' (SubNegMonoid.toSub.{u5} M' (AddGroup.toSubNegMonoid.{u5} M' (AddCommGroup.toAddGroup.{u5} M' _inst_13)))) x y)) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P') _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) (FunLike.coe.{max (max (succ u3) (succ u5)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) M' (fun (_x : M') => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _inst_1 _inst_3 (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32) ρ₁₂) f (HSub.hSub.{u5, u5, u5} M' M' M' (instHSub.{u5} M' (SubNegMonoid.toSub.{u5} M' (AddGroup.toSubNegMonoid.{u5} M' (AddCommGroup.toAddGroup.{u5} M' _inst_13)))) x y)) z) (HSub.hSub.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P') z) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P') z) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P') z) (instHSub.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P') z) (SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P') z) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P') z) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P') z) _inst_15)))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) x) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P') _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) (FunLike.coe.{max (max (succ u3) (succ u5)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) M' (fun (_x : M') => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _inst_1 _inst_3 (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32) ρ₁₂) f x) z) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) y) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P') _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) (FunLike.coe.{max (max (succ u3) (succ u5)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) M' (fun (_x : M') => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _inst_1 _inst_3 (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32) ρ₁₂) f y) z))
 Case conversion may be inaccurate. Consider using '#align linear_map.map_sub₂ LinearMap.map_sub₂ₓ'. -/
 theorem map_sub₂ (f : M' →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P') (x y z) : f (x - y) z = f x z - f y z :=
   (flip f z).map_sub _ _
@@ -250,7 +250,7 @@ theorem map_sub₂ (f : M' →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P') (x y z)
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P 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 but is expected to have type
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u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f x₁) y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) x₂) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ 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(LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f x₂) y))
+  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 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u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f x₁) y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) x₂) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ 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(LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f x₂) y))
 Case conversion may be inaccurate. Consider using '#align linear_map.map_add₂ LinearMap.map_add₂ₓ'. -/
 theorem map_add₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (x₁ x₂ y) : f (x₁ + x₂) y = f x₁ y + f x₂ y :=
   (flip f y).map_add _ _
@@ -260,7 +260,7 @@ theorem map_add₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (x₁ x
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {S₂ : Type.{u3}} [_inst_4 : Semiring.{u3} S₂] {M₂ : Type.{u4}} {N₂ : Type.{u5}} {P₂ : Type.{u6}} [_inst_8 : AddCommMonoid.{u4} M₂] [_inst_9 : AddCommMonoid.{u5} N₂] [_inst_10 : AddCommMonoid.{u6} P₂] [_inst_20 : Module.{u1, u4} R M₂ _inst_1 _inst_8] [_inst_21 : Module.{u2, u5} S N₂ _inst_2 _inst_9] [_inst_22 : Module.{u1, u6} R P₂ _inst_1 _inst_10] [_inst_23 : Module.{u3, u6} S₂ P₂ _inst_4 _inst_10] [_inst_33 : SMulCommClass.{u3, u1, u6} S₂ R P₂ (SMulZeroClass.toHasSmul.{u3, u6} S₂ P₂ (AddZeroClass.toHasZero.{u6} P₂ (AddMonoid.toAddZeroClass.{u6} P₂ (AddCommMonoid.toAddMonoid.{u6} P₂ _inst_10))) (SMulWithZero.toSmulZeroClass.{u3, u6} S₂ P₂ (MulZeroClass.toHasZero.{u3} S₂ (MulZeroOneClass.toMulZeroClass.{u3} S₂ (MonoidWithZero.toMulZeroOneClass.{u3} S₂ (Semiring.toMonoidWithZero.{u3} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u6} P₂ (AddMonoid.toAddZeroClass.{u6} P₂ 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 but is expected to have type
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=> P₂) y) (MonoidWithZero.toZero.{u6} R (Semiring.toMonoidWithZero.{u6} R _inst_1)) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N₂) => P₂) y) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N₂) => P₂) y) _inst_10)) (MulActionWithZero.toSMulWithZero.{u6, u4} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N₂) => P₂) y) (Semiring.toMonoidWithZero.{u6} R _inst_1) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N₂) => P₂) y) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N₂) => P₂) y) _inst_10)) (Module.toMulActionWithZero.{u6, u4} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N₂) => P₂) y) _inst_1 _inst_10 _inst_22))))) r (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₂) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23) x) N₂ (fun (_x : N₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N₂) => P₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u6, u6, u5, max u4 u3} R R _inst_1 _inst_1 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R _inst_1)) M₂ (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23) _inst_8 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂) _inst_20 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂ _inst_1 _inst_22 _inst_33)) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₂) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23) _x) (LinearMap.instFunLikeLinearMap.{u6, u6, u5, max u3 u4} R R M₂ (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23) _inst_1 _inst_1 _inst_8 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂) _inst_20 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂ _inst_1 _inst_22 _inst_33) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R _inst_1))) f x) y))
+  forall {R : Type.{u6}} [_inst_1 : Semiring.{u6} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M₂ : Type.{u5}} {N₂ : Type.{u3}} {P₂ : Type.{u4}} [_inst_8 : AddCommMonoid.{u5} M₂] [_inst_9 : AddCommMonoid.{u3} N₂] [_inst_10 : AddCommMonoid.{u4} P₂] [_inst_20 : Module.{u6, u5} R M₂ _inst_1 _inst_8] [_inst_21 : Module.{u2, u3} S N₂ _inst_2 _inst_9] [_inst_22 : Module.{u6, u4} R P₂ _inst_1 _inst_10] [_inst_23 : Module.{u1, u4} S₂ P₂ _inst_4 _inst_10] [_inst_33 : SMulCommClass.{u1, u6, u4} S₂ R P₂ (SMulZeroClass.toSMul.{u1, u4} S₂ P₂ (AddMonoid.toZero.{u4} P₂ (AddCommMonoid.toAddMonoid.{u4} P₂ _inst_10)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P₂ (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P₂ (AddCommMonoid.toAddMonoid.{u4} P₂ _inst_10)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P₂ (AddCommMonoid.toAddMonoid.{u4} P₂ _inst_10)) (Module.toMulActionWithZero.{u1, u4} S₂ P₂ _inst_4 _inst_10 _inst_23)))) (SMulZeroClass.toSMul.{u6, u4} R P₂ (AddMonoid.toZero.{u4} P₂ (AddCommMonoid.toAddMonoid.{u4} P₂ _inst_10)) (SMulWithZero.toSMulZeroClass.{u6, u4} R P₂ (MonoidWithZero.toZero.{u6} R (Semiring.toMonoidWithZero.{u6} R _inst_1)) (AddMonoid.toZero.{u4} P₂ (AddCommMonoid.toAddMonoid.{u4} P₂ _inst_10)) (MulActionWithZero.toSMulWithZero.{u6, u4} R P₂ (Semiring.toMonoidWithZero.{u6} R _inst_1) (AddMonoid.toZero.{u4} P₂ (AddCommMonoid.toAddMonoid.{u4} P₂ _inst_10)) (Module.toMulActionWithZero.{u6, u4} R P₂ _inst_1 _inst_10 _inst_22))))] {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : LinearMap.{u6, u6, u5, max u4 u3} R R _inst_1 _inst_1 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R _inst_1)) M₂ (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23) _inst_8 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂) _inst_20 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂ _inst_1 _inst_22 _inst_33)) (r : R) (x : M₂) (y : N₂), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N₂) => P₂) y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₂) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23) (HSMul.hSMul.{u6, u5, u5} R M₂ M₂ (instHSMul.{u6, u5} R M₂ (SMulZeroClass.toSMul.{u6, u5} R M₂ (AddMonoid.toZero.{u5} M₂ (AddCommMonoid.toAddMonoid.{u5} M₂ _inst_8)) (SMulWithZero.toSMulZeroClass.{u6, u5} R M₂ (MonoidWithZero.toZero.{u6} R (Semiring.toMonoidWithZero.{u6} R _inst_1)) (AddMonoid.toZero.{u5} M₂ (AddCommMonoid.toAddMonoid.{u5} M₂ _inst_8)) (MulActionWithZero.toSMulWithZero.{u6, u5} R M₂ (Semiring.toMonoidWithZero.{u6} R _inst_1) (AddMonoid.toZero.{u5} M₂ (AddCommMonoid.toAddMonoid.{u5} M₂ _inst_8)) (Module.toMulActionWithZero.{u6, u5} R M₂ _inst_1 _inst_8 _inst_20))))) r x)) N₂ (fun (_x : N₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N₂) => P₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u6, u6, u5, max u4 u3} R R _inst_1 _inst_1 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R _inst_1)) M₂ (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23) _inst_8 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂) _inst_20 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂ _inst_1 _inst_22 _inst_33)) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₂) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23) _x) (LinearMap.instFunLikeLinearMap.{u6, u6, u5, max u3 u4} R R M₂ (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23) _inst_1 _inst_1 _inst_8 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂) _inst_20 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂ _inst_1 _inst_22 _inst_33) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R _inst_1))) f (HSMul.hSMul.{u6, u5, u5} R M₂ M₂ (instHSMul.{u6, u5} R M₂ (SMulZeroClass.toSMul.{u6, u5} R M₂ (AddMonoid.toZero.{u5} M₂ (AddCommMonoid.toAddMonoid.{u5} M₂ _inst_8)) (SMulWithZero.toSMulZeroClass.{u6, u5} R M₂ (MonoidWithZero.toZero.{u6} R (Semiring.toMonoidWithZero.{u6} R _inst_1)) (AddMonoid.toZero.{u5} M₂ (AddCommMonoid.toAddMonoid.{u5} M₂ _inst_8)) (MulActionWithZero.toSMulWithZero.{u6, u5} R M₂ (Semiring.toMonoidWithZero.{u6} R _inst_1) (AddMonoid.toZero.{u5} M₂ (AddCommMonoid.toAddMonoid.{u5} M₂ _inst_8)) (Module.toMulActionWithZero.{u6, u5} R M₂ _inst_1 _inst_8 _inst_20))))) r x)) y) (HSMul.hSMul.{u6, u4, u4} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N₂) => P₂) y) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N₂) => P₂) y) (instHSMul.{u6, u4} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N₂) => P₂) y) (SMulZeroClass.toSMul.{u6, u4} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N₂) => P₂) y) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N₂) => P₂) y) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N₂) => P₂) y) _inst_10)) (SMulWithZero.toSMulZeroClass.{u6, u4} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N₂) => P₂) y) (MonoidWithZero.toZero.{u6} R (Semiring.toMonoidWithZero.{u6} R _inst_1)) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N₂) => P₂) y) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N₂) => P₂) y) _inst_10)) (MulActionWithZero.toSMulWithZero.{u6, u4} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N₂) => P₂) y) (Semiring.toMonoidWithZero.{u6} R _inst_1) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N₂) => P₂) y) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N₂) => P₂) y) _inst_10)) (Module.toMulActionWithZero.{u6, u4} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N₂) => P₂) y) _inst_1 _inst_10 _inst_22))))) r (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₂) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23) x) N₂ (fun (_x : N₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N₂) => P₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u6, u6, u5, max u4 u3} R R _inst_1 _inst_1 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R _inst_1)) M₂ (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23) _inst_8 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂) _inst_20 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂ _inst_1 _inst_22 _inst_33)) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₂) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23) _x) (LinearMap.instFunLikeLinearMap.{u6, u6, u5, max u3 u4} R R M₂ (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23) _inst_1 _inst_1 _inst_8 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂) _inst_20 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂ _inst_1 _inst_22 _inst_33) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R _inst_1))) f x) y))
 Case conversion may be inaccurate. Consider using '#align linear_map.map_smul₂ LinearMap.map_smul₂ₓ'. -/
 theorem map_smul₂ (f : M₂ →ₗ[R] N₂ →ₛₗ[σ₁₂] P₂) (r : R) (x y) : f (r • x) y = r • f x y :=
   (flip f y).map_smul _ _
@@ -270,7 +270,7 @@ theorem map_smul₂ (f : M₂ →ₗ[R] N₂ →ₛₗ[σ₁₂] P₂) (r : R) (
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} (f : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (r : R) (x : M) (y : N), Eq.{succ u7} P (coeFn.{max (succ u6) (succ u7), max (succ u6) (succ u7)} (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (fun (_x : LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 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 but is expected to have type
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_inst_7)) (Module.toMulActionWithZero.{u6, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) r) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) y) _inst_3 _inst_7 _inst_18))))) (FunLike.coe.{max (succ u7) (succ u6), succ u7, succ u6} (RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) _x) (MulHomClass.toFunLike.{max u7 u6, u7, u6} (RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)) R R₂ (NonUnitalNonAssocSemiring.toMul.{u7} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u7} R (Semiring.toNonAssocSemiring.{u7} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u6} R₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u6} R₂ (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u7 u6, u7, u6} (RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)) R R₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u7} R (Semiring.toNonAssocSemiring.{u7} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u6} R₂ (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u7 u6, u7, u6} (RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)) R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3) (RingHom.instRingHomClassRingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3))))) ρ₁₂ r) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) x) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f x) y))
+  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (r : R) (x : M) (y : N), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (HSMul.hSMul.{u7, u5, u5} R M M (instHSMul.{u7, u5} R M (SMulZeroClass.toSMul.{u7, u5} R M (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)) (SMulWithZero.toSMulZeroClass.{u7, u5} R M (MonoidWithZero.toZero.{u7} R (Semiring.toMonoidWithZero.{u7} R _inst_1)) (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)) (MulActionWithZero.toSMulWithZero.{u7, u5} R M (Semiring.toMonoidWithZero.{u7} R _inst_1) (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)) (Module.toMulActionWithZero.{u7, u5} R M _inst_1 _inst_5 _inst_16))))) r x)) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f (HSMul.hSMul.{u7, u5, u5} R M M (instHSMul.{u7, u5} R M (SMulZeroClass.toSMul.{u7, u5} R M (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)) (SMulWithZero.toSMulZeroClass.{u7, u5} R M (MonoidWithZero.toZero.{u7} R (Semiring.toMonoidWithZero.{u7} R _inst_1)) (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)) (MulActionWithZero.toSMulWithZero.{u7, u5} R M (Semiring.toMonoidWithZero.{u7} R _inst_1) (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)) (Module.toMulActionWithZero.{u7, u5} R M _inst_1 _inst_5 _inst_16))))) r x)) y) (HSMul.hSMul.{u6, u4, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) r) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) y) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) y) (instHSMul.{u6, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) r) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) y) (SMulZeroClass.toSMul.{u6, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) r) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) y) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) y) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) y) _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) r) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) y) (MonoidWithZero.toZero.{u6} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) r) (Semiring.toMonoidWithZero.{u6} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) r) _inst_3)) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) y) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) y) _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) r) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) y) (Semiring.toMonoidWithZero.{u6} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) r) _inst_3) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) y) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) y) _inst_7)) (Module.toMulActionWithZero.{u6, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) r) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) y) _inst_3 _inst_7 _inst_18))))) (FunLike.coe.{max (succ u7) (succ u6), succ u7, succ u6} (RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) _x) (MulHomClass.toFunLike.{max u7 u6, u7, u6} (RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)) R R₂ (NonUnitalNonAssocSemiring.toMul.{u7} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u7} R (Semiring.toNonAssocSemiring.{u7} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u6} R₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u6} R₂ (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u7 u6, u7, u6} (RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)) R R₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u7} R (Semiring.toNonAssocSemiring.{u7} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u6} R₂ (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u7 u6, u7, u6} (RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)) R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3) (RingHom.instRingHomClassRingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3))))) ρ₁₂ r) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) x) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f x) y))
 Case conversion may be inaccurate. Consider using '#align linear_map.map_smulₛₗ₂ LinearMap.map_smulₛₗ₂ₓ'. -/
 theorem map_smulₛₗ₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (r : R) (x y) : f (r • x) y = ρ₁₂ r • f x y :=
   (flip f y).map_smulₛₗ _ _
@@ -280,7 +280,7 @@ theorem map_smulₛₗ₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (r
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) 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 but is expected to have type
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+  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} {ι : Type.{u8}} (f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ 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R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f (Finset.sum.{u5, u8} M ι _inst_5 t (fun (i : ι) => x i))) y) (Finset.sum.{u4, u8} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) y) ι _inst_7 t (fun (i : ι) => FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (x i)) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f (x i)) y))
 Case conversion may be inaccurate. Consider using '#align linear_map.map_sum₂ LinearMap.map_sum₂ₓ'. -/
 theorem map_sum₂ {ι : Type _} (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (t : Finset ι) (x : ι → M) (y) :
     f (∑ i in t, x i) y = ∑ i in t, f (x i) y :=
@@ -302,7 +302,7 @@ def domRestrict₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (q : Subm
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} (f : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (q : Submodule.{u2, u6} S N _inst_2 _inst_6 _inst_17) (x : M) (y : coeSort.{succ u6, succ (succ u6)} (Submodule.{u2, u6} S N _inst_2 _inst_6 _inst_17) Type.{u6} (SetLike.hasCoeToSort.{u6, u6} (Submodule.{u2, u6} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u6} 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 but is expected to have type
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+  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (q : Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (x : M) (y : Subtype.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17)) x q)), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Subtype.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17)) x q)) => P) y) 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u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17)) x q)) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Subtype.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17)) x q)) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ (Subtype.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17)) x q)) P _inst_2 _inst_4 (Submodule.addCommMonoid.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_7 (Submodule.module.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, 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_inst_6 _inst_17 q) _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ (Subtype.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17)) x q)) P _inst_2 _inst_4 (Submodule.addCommMonoid.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_7 (Submodule.module.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ (Subtype.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17)) x q)) P (Submodule.addCommMonoid.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_7 (Submodule.module.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ (Subtype.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17)) x q)) P (Submodule.addCommMonoid.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_7 (Submodule.module.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ (Subtype.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17)) x q)) P _inst_2 _inst_4 (Submodule.addCommMonoid.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_7 (Submodule.module.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ (Subtype.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17)) x q)) P _inst_2 _inst_4 (Submodule.addCommMonoid.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_7 (Submodule.module.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) (LinearMap.domRestrict₂.{u7, u2, u6, u1, u5, u3, u4} R _inst_1 S _inst_2 R₂ _inst_3 S₂ _inst_4 M N P _inst_5 _inst_6 _inst_7 _inst_16 _inst_17 _inst_18 _inst_19 _inst_30 ρ₁₂ σ₁₂ f q) x) y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) x) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f x) (Subtype.val.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Set.{u3} N) (Set.instMembershipSet.{u3} N) x (SetLike.coe.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17) q)) y))
 Case conversion may be inaccurate. Consider using '#align linear_map.dom_restrict₂_apply LinearMap.domRestrict₂_applyₓ'. -/
 theorem domRestrict₂_apply (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (q : Submodule S N) (x : M) (y : q) :
     f.domRestrict₂ q x y = f x y :=
@@ -321,7 +321,7 @@ def domRestrict₁₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (p : S
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P 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 but is expected to have type
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(AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 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+  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (p : Submodule.{u7, u5} R M _inst_1 _inst_5 _inst_16) (q : Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (x : Subtype.{succ u5} M (fun (x : M) => Membership.mem.{u5, u5} M (Submodule.{u7, u5} R M _inst_1 _inst_5 _inst_16) (SetLike.instMembership.{u5, u5} (Submodule.{u7, u5} R M _inst_1 _inst_5 _inst_16) M (Submodule.setLike.{u7, u5} R M _inst_1 _inst_5 _inst_16)) x p)) (y : Subtype.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17)) x q)), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Subtype.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17)) x q)) => P) y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Subtype.{succ u5} M (fun (x : M) => Membership.mem.{u5, u5} M (Submodule.{u7, u5} R M _inst_1 _inst_5 _inst_16) (SetLike.instMembership.{u5, u5} (Submodule.{u7, u5} R M _inst_1 _inst_5 _inst_16) M (Submodule.setLike.{u7, u5} R M _inst_1 _inst_5 _inst_16)) x p)) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ (Subtype.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 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(Submodule.setLike.{u7, u5} R M _inst_1 _inst_5 _inst_16)) x p)) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Subtype.{succ u5} M (fun (x : M) => Membership.mem.{u5, u5} M (Submodule.{u7, u5} R M _inst_1 _inst_5 _inst_16) (SetLike.instMembership.{u5, u5} (Submodule.{u7, u5} R M _inst_1 _inst_5 _inst_16) M (Submodule.setLike.{u7, u5} R M _inst_1 _inst_5 _inst_16)) x p)) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ (Subtype.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17)) x q)) P (Submodule.addCommMonoid.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_7 (Submodule.module.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ (Subtype.{succ u5} M (fun (x : M) => Membership.mem.{u5, u5} M (Submodule.{u7, u5} R M 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(Submodule.setLike.{u7, u5} R M _inst_1 _inst_5 _inst_16) p)) x)) (Subtype.val.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Set.{u3} N) (Set.instMembershipSet.{u3} N) x (SetLike.coe.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17) q)) y))
 Case conversion may be inaccurate. Consider using '#align linear_map.dom_restrict₁₂_apply LinearMap.domRestrict₁₂_applyₓ'. -/
 theorem domRestrict₁₂_apply (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (p : Submodule R M) (q : Submodule S N)
     (x : p) (y : q) : f.domRestrict₁₂ p q x y = f x y :=
@@ -378,7 +378,7 @@ def mk₂ (f : M → Nₗ → Pₗ) (H1 : ∀ m₁ m₂ n, f (m₁ + m₂) n = f
 lean 3 declaration is
   forall (R : Type.{u1}) [_inst_1 : CommSemiring.{u1} R] {M : Type.{u2}} {Nₗ : Type.{u3}} {Pₗ : Type.{u4}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_19 : Module.{u1, u3} R Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10] [_inst_20 : Module.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11] (f : M -> Nₗ -> Pₗ) {H1 : forall (m₁ : M) (m₂ : M) (n : Nₗ), Eq.{succ u4} Pₗ (f (HAdd.hAdd.{u2, u2, u2} M M M (instHAdd.{u2} M (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u4, u4, u4} Pₗ Pₗ Pₗ (instHAdd.{u4} Pₗ (AddZeroClass.toHasAdd.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)))) (f m₁ n) (f m₂ n))} {H2 : forall (c : R) (m : M) (n : Nₗ), Eq.{succ u4} Pₗ (f (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_5))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5))) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_14)))) c m) n) (SMul.smul.{u1, u4} R Pₗ (SMulZeroClass.toHasSmul.{u1, u4} R Pₗ (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (SMulWithZero.toSmulZeroClass.{u1, u4} R Pₗ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u4} R Pₗ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (Module.toMulActionWithZero.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11 _inst_20)))) c (f m n))} {H3 : forall (m : M) (n₁ : Nₗ) (n₂ : Nₗ), Eq.{succ u4} Pₗ (f m (HAdd.hAdd.{u3, u3, u3} Nₗ Nₗ Nₗ (instHAdd.{u3} Nₗ (AddZeroClass.toHasAdd.{u3} Nₗ (AddMonoid.toAddZeroClass.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10)))) n₁ n₂)) (HAdd.hAdd.{u4, u4, u4} Pₗ Pₗ Pₗ (instHAdd.{u4} Pₗ (AddZeroClass.toHasAdd.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)))) (f m n₁) (f m n₂))} {H4 : forall (c : R) (m : M) (n : Nₗ), Eq.{succ u4} Pₗ (f m (SMul.smul.{u1, u3} R Nₗ (SMulZeroClass.toHasSmul.{u1, u3} R Nₗ (AddZeroClass.toHasZero.{u3} Nₗ (AddMonoid.toAddZeroClass.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10))) (SMulWithZero.toSmulZeroClass.{u1, u3} R Nₗ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} Nₗ (AddMonoid.toAddZeroClass.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10))) (MulActionWithZero.toSMulWithZero.{u1, u3} R Nₗ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} Nₗ (AddMonoid.toAddZeroClass.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10))) (Module.toMulActionWithZero.{u1, u3} R Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_19)))) c n)) (SMul.smul.{u1, u4} R Pₗ (SMulZeroClass.toHasSmul.{u1, u4} R Pₗ (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (SMulWithZero.toSmulZeroClass.{u1, u4} R Pₗ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u4} R Pₗ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (Module.toMulActionWithZero.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11 _inst_20)))) c (f m n))} (m : M) (n : Nₗ), Eq.{succ u4} Pₗ (coeFn.{max (succ 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(CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_5 (LinearMap.addCommMonoid.{u1, u1, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_14 (LinearMap.module.{u1, u1, u1, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.mk₂._proof_1.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20))) (fun (_x : LinearMap.{u1, u1, u2, max u3 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_5 (LinearMap.addCommMonoid.{u1, u1, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_14 (LinearMap.module.{u1, u1, u1, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.mk₂._proof_1.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20))) => M -> (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20)) (LinearMap.hasCoeToFun.{u1, u1, u2, max u3 u4} R R M (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 (LinearMap.addCommMonoid.{u1, u1, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_14 (LinearMap.module.{u1, u1, u1, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.mk₂._proof_1.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mk₂.{u1, u2, u3, u4} R _inst_1 M Nₗ Pₗ _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20 f H1 H2 H3 H4) m) n) (f m n)
 but is expected to have type
-  forall (R : Type.{u2}) [_inst_1 : CommSemiring.{u2} R] {M : Type.{u3}} {Nₗ : Type.{u1}} {Pₗ : Type.{u4}} [_inst_5 : AddCommMonoid.{u3} M] [_inst_10 : AddCommMonoid.{u1} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_14 : Module.{u2, u3} R M (CommSemiring.toSemiring.{u2} R _inst_1) _inst_5] [_inst_19 : Module.{u2, u1} R Nₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10] [_inst_20 : Module.{u2, u4} R Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_11] (f : M -> Nₗ -> Pₗ) {H1 : forall (m₁ : M) (m₂ : M) (n : Nₗ), Eq.{succ u4} Pₗ (f (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u4, u4, u4} Pₗ Pₗ Pₗ (instHAdd.{u4} Pₗ (AddZeroClass.toAdd.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)))) (f m₁ n) (f m₂ n))} {H2 : forall (c : R) (m : M) (n : Nₗ), Eq.{succ u4} Pₗ (f (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_5)) (SMulWithZero.toSMulZeroClass.{u2, u3} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_5)) (MulActionWithZero.toSMulWithZero.{u2, u3} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_5)) (Module.toMulActionWithZero.{u2, u3} R M (CommSemiring.toSemiring.{u2} R _inst_1) _inst_5 _inst_14))))) c m) n) (HSMul.hSMul.{u2, u4, u4} R Pₗ Pₗ (instHSMul.{u2, u4} R Pₗ (SMulZeroClass.toSMul.{u2, u4} R Pₗ (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (SMulWithZero.toSMulZeroClass.{u2, u4} R Pₗ (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (MulActionWithZero.toSMulWithZero.{u2, u4} R Pₗ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u2, u4} R Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_11 _inst_20))))) c (f m n))} {H3 : forall (m : M) (n₁ : Nₗ) (n₂ : Nₗ), Eq.{succ u4} Pₗ (f m (HAdd.hAdd.{u1, u1, u1} Nₗ Nₗ Nₗ (instHAdd.{u1} Nₗ (AddZeroClass.toAdd.{u1} Nₗ (AddMonoid.toAddZeroClass.{u1} Nₗ (AddCommMonoid.toAddMonoid.{u1} Nₗ _inst_10)))) n₁ n₂)) (HAdd.hAdd.{u4, u4, u4} Pₗ Pₗ Pₗ (instHAdd.{u4} Pₗ (AddZeroClass.toAdd.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)))) (f m n₁) (f m n₂))} {H4 : forall (c : R) (m : M) (n : Nₗ), Eq.{succ u4} Pₗ (f m (HSMul.hSMul.{u2, u1, u1} R Nₗ Nₗ (instHSMul.{u2, u1} R Nₗ (SMulZeroClass.toSMul.{u2, u1} R Nₗ (AddMonoid.toZero.{u1} Nₗ (AddCommMonoid.toAddMonoid.{u1} Nₗ _inst_10)) (SMulWithZero.toSMulZeroClass.{u2, u1} R Nₗ (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u1} Nₗ (AddCommMonoid.toAddMonoid.{u1} Nₗ _inst_10)) (MulActionWithZero.toSMulWithZero.{u2, u1} R Nₗ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u1} Nₗ (AddCommMonoid.toAddMonoid.{u1} Nₗ _inst_10)) (Module.toMulActionWithZero.{u2, u1} R Nₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_19))))) c n)) (HSMul.hSMul.{u2, u4, u4} R Pₗ Pₗ (instHSMul.{u2, u4} R Pₗ (SMulZeroClass.toSMul.{u2, u4} R Pₗ (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (SMulWithZero.toSMulZeroClass.{u2, u4} R Pₗ (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (MulActionWithZero.toSMulWithZero.{u2, u4} R Pₗ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u2, u4} R Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_11 _inst_20))))) c (f m n))} (m : M) (n : Nₗ), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : Nₗ) => Pₗ) n) (FunLike.coe.{max (succ u1) (succ u4), succ u1, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u2, u1, u4} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) m) Nₗ (fun (_x : Nₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : Nₗ) => Pₗ) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u4), succ u3, max (succ u1) (succ u4)} (LinearMap.{u2, u2, u3, max u4 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) M (LinearMap.{u2, u2, u1, u4} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_5 (LinearMap.addCommMonoid.{u2, u2, u1, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_20 (smulCommClass_self.{u2, u4} R Pₗ (CommSemiring.toCommMonoid.{u2} R _inst_1) (MulActionWithZero.toMulAction.{u2, u4} R Pₗ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u2, u4} R Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_11 _inst_20))))) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u2, u1, u4} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u3, max u1 u4} R R M (LinearMap.{u2, u2, u1, u4} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_5 (LinearMap.addCommMonoid.{u2, u2, u1, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_20 (smulCommClass_self.{u2, u4} R Pₗ (CommSemiring.toCommMonoid.{u2} R _inst_1) (MulActionWithZero.toMulAction.{u2, u4} R Pₗ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u2, u4} R Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (LinearMap.mk₂.{u2, u3, u1, u4} R _inst_1 M Nₗ Pₗ _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20 f H1 H2 H3 H4) m) n) (f m n)
+  forall (R : Type.{u2}) [_inst_1 : CommSemiring.{u2} R] {M : Type.{u3}} {Nₗ : Type.{u1}} {Pₗ : Type.{u4}} [_inst_5 : AddCommMonoid.{u3} M] [_inst_10 : AddCommMonoid.{u1} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_14 : Module.{u2, u3} R M (CommSemiring.toSemiring.{u2} R _inst_1) _inst_5] [_inst_19 : Module.{u2, u1} R Nₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10] [_inst_20 : Module.{u2, u4} R Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_11] (f : M -> Nₗ -> Pₗ) {H1 : forall (m₁ : M) (m₂ : M) (n : Nₗ), Eq.{succ u4} Pₗ (f (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u4, u4, u4} Pₗ Pₗ Pₗ (instHAdd.{u4} Pₗ (AddZeroClass.toAdd.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)))) (f m₁ n) (f m₂ n))} {H2 : forall (c : R) (m : M) (n : Nₗ), Eq.{succ u4} Pₗ (f (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_5)) (SMulWithZero.toSMulZeroClass.{u2, u3} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_5)) (MulActionWithZero.toSMulWithZero.{u2, u3} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_5)) (Module.toMulActionWithZero.{u2, u3} R M (CommSemiring.toSemiring.{u2} R _inst_1) _inst_5 _inst_14))))) c m) n) (HSMul.hSMul.{u2, u4, u4} R Pₗ Pₗ (instHSMul.{u2, u4} R Pₗ (SMulZeroClass.toSMul.{u2, u4} R Pₗ (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (SMulWithZero.toSMulZeroClass.{u2, u4} R Pₗ (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (MulActionWithZero.toSMulWithZero.{u2, u4} R Pₗ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u2, u4} R Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_11 _inst_20))))) c (f m n))} {H3 : forall (m : M) (n₁ : Nₗ) (n₂ : Nₗ), Eq.{succ u4} Pₗ (f m (HAdd.hAdd.{u1, u1, u1} Nₗ Nₗ Nₗ (instHAdd.{u1} Nₗ (AddZeroClass.toAdd.{u1} Nₗ (AddMonoid.toAddZeroClass.{u1} Nₗ (AddCommMonoid.toAddMonoid.{u1} Nₗ _inst_10)))) n₁ n₂)) (HAdd.hAdd.{u4, u4, u4} Pₗ Pₗ Pₗ (instHAdd.{u4} Pₗ (AddZeroClass.toAdd.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)))) (f m n₁) (f m n₂))} {H4 : forall (c : R) (m : M) (n : Nₗ), Eq.{succ u4} Pₗ (f m (HSMul.hSMul.{u2, u1, u1} R Nₗ Nₗ (instHSMul.{u2, u1} R Nₗ (SMulZeroClass.toSMul.{u2, u1} R Nₗ (AddMonoid.toZero.{u1} Nₗ (AddCommMonoid.toAddMonoid.{u1} Nₗ _inst_10)) (SMulWithZero.toSMulZeroClass.{u2, u1} R Nₗ (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u1} Nₗ (AddCommMonoid.toAddMonoid.{u1} Nₗ _inst_10)) (MulActionWithZero.toSMulWithZero.{u2, u1} R Nₗ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u1} Nₗ (AddCommMonoid.toAddMonoid.{u1} Nₗ _inst_10)) (Module.toMulActionWithZero.{u2, u1} R Nₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_19))))) c n)) (HSMul.hSMul.{u2, u4, u4} R Pₗ Pₗ (instHSMul.{u2, u4} R Pₗ (SMulZeroClass.toSMul.{u2, u4} R Pₗ (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (SMulWithZero.toSMulZeroClass.{u2, u4} R Pₗ (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (MulActionWithZero.toSMulWithZero.{u2, u4} R Pₗ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u2, u4} R Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_11 _inst_20))))) c (f m n))} (m : M) (n : Nₗ), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Nₗ) => Pₗ) n) (FunLike.coe.{max (succ u1) (succ u4), succ u1, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => LinearMap.{u2, u2, u1, u4} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) m) Nₗ (fun (_x : Nₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Nₗ) => Pₗ) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u4), succ u3, max (succ u1) (succ u4)} (LinearMap.{u2, u2, u3, max u4 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) M (LinearMap.{u2, u2, u1, u4} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_5 (LinearMap.addCommMonoid.{u2, u2, u1, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_20 (smulCommClass_self.{u2, u4} R Pₗ (CommSemiring.toCommMonoid.{u2} R _inst_1) (MulActionWithZero.toMulAction.{u2, u4} R Pₗ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u2, u4} R Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_11 _inst_20))))) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => LinearMap.{u2, u2, u1, u4} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u3, max u1 u4} R R M (LinearMap.{u2, u2, u1, u4} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_5 (LinearMap.addCommMonoid.{u2, u2, u1, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_20 (smulCommClass_self.{u2, u4} R Pₗ (CommSemiring.toCommMonoid.{u2} R _inst_1) (MulActionWithZero.toMulAction.{u2, u4} R Pₗ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u2, u4} R Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (LinearMap.mk₂.{u2, u3, u1, u4} R _inst_1 M Nₗ Pₗ _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20 f H1 H2 H3 H4) m) n) (f m n)
 Case conversion may be inaccurate. Consider using '#align linear_map.mk₂_apply LinearMap.mk₂_applyₓ'. -/
 @[simp]
 theorem mk₂_apply (f : M → Nₗ → Pₗ) {H1 H2 H3 H4} (m : M) (n : Nₗ) :
@@ -407,7 +407,7 @@ variable (f : M →ₛₗ[σ₁₃] N →ₛₗ[σ₂₃] P)
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {R₂ : Type.{u2}} [_inst_2 : CommSemiring.{u2} R₂] {R₃ : Type.{u3}} [_inst_3 : CommSemiring.{u3} R₃] {M : Type.{u4}} {N : Type.{u5}} {P : Type.{u6}} [_inst_5 : AddCommMonoid.{u4} M] [_inst_6 : AddCommMonoid.{u5} N] [_inst_7 : AddCommMonoid.{u6} P] [_inst_14 : Module.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_15 : Module.{u2, u5} R₂ N (CommSemiring.toSemiring.{u2} R₂ _inst_2) _inst_6] [_inst_16 : Module.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7] {σ₂₃ : RingHom.{u2, u3} R₂ R₃ (Semiring.toNonAssocSemiring.{u2} R₂ (CommSemiring.toSemiring.{u2} R₂ _inst_2)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} {σ₁₃ : RingHom.{u1, u3} R R₃ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} (f : LinearMap.{u1, u3, u4, max u5 u6} R R₃ 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 but is expected to have type
-  forall {R : Type.{u4}} [_inst_1 : CommSemiring.{u4} R] {R₂ : Type.{u1}} [_inst_2 : CommSemiring.{u1} R₂] {R₃ : Type.{u3}} [_inst_3 : CommSemiring.{u3} R₃] {M : Type.{u5}} {N : Type.{u2}} {P : Type.{u6}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u2} N] [_inst_7 : AddCommMonoid.{u6} P] [_inst_14 : Module.{u4, u5} R M (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5] [_inst_15 : Module.{u1, u2} R₂ N (CommSemiring.toSemiring.{u1} R₂ _inst_2) _inst_6] [_inst_16 : Module.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7] {σ₂₃ : RingHom.{u1, u3} R₂ R₃ (Semiring.toNonAssocSemiring.{u1} R₂ (CommSemiring.toSemiring.{u1} R₂ _inst_2)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} {σ₁₃ : RingHom.{u4, u3} R R₃ (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} (f : LinearMap.{u4, u3, u5, max u6 u2} R R₃ 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(CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_5 _inst_7 _inst_14 _inst_16 σ₁₃ (MonoidWithZero.toMonoid.{u3} R₃ (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))) (Module.toDistribMulAction.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7 _inst_16) (smulCommClass_self.{u3, u6} R₃ P (CommSemiring.toCommMonoid.{u3} R₃ _inst_3) (MulActionWithZero.toMulAction.{u3, u6} R₃ P (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3)) (AddMonoid.toZero.{u6} P (AddCommMonoid.toAddMonoid.{u6} P _inst_7)) (Module.toMulActionWithZero.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7 _inst_16))) (MonoidWithZero.toMonoid.{u3} R₃ (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))) (Module.toDistribMulAction.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7 _inst_16) (smulCommClass_self.{u3, u6} R₃ P (CommSemiring.toCommMonoid.{u3} R₃ _inst_3) (MulActionWithZero.toMulAction.{u3, u6} R₃ 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(CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) _inst_5 (LinearMap.addCommMonoid.{u1, u3, u2, u6} R₂ R₃ N P (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u3, u3, u2, u6} R₂ R₃ R₃ N P (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_16 (smulCommClass_self.{u3, u6} R₃ P (CommSemiring.toCommMonoid.{u3} R₃ _inst_3) (MulActionWithZero.toMulAction.{u3, u6} R₃ P (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3)) (AddMonoid.toZero.{u6} P (AddCommMonoid.toAddMonoid.{u6} P _inst_7)) (Module.toMulActionWithZero.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7 _inst_16))))) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : LinearMap.{u4, u3, u5, max u6 u2} R R₃ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M (LinearMap.{u1, u3, u2, u6} R₂ R₃ (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) _inst_5 (LinearMap.addCommMonoid.{u1, u3, u2, u6} R₂ R₃ N P (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u3, u3, u2, u6} R₂ R₃ R₃ N P (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_16 (smulCommClass_self.{u3, u6} R₃ P (CommSemiring.toCommMonoid.{u3} R₃ _inst_3) (MulActionWithZero.toMulAction.{u3, u6} R₃ P (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3)) (AddMonoid.toZero.{u6} P (AddCommMonoid.toAddMonoid.{u6} P _inst_7)) (Module.toMulActionWithZero.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7 _inst_16))))) => LinearMap.{u1, u3, u2, max u6 u5} R₂ R₃ (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N (LinearMap.{u4, u3, u5, u6} R R₃ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M P _inst_5 _inst_7 _inst_14 _inst_16) _inst_6 (LinearMap.addCommMonoid.{u4, u3, u5, u6} R R₃ M P (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_5 _inst_7 _inst_14 _inst_16 σ₁₃) _inst_15 (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u3, u3, u5, u6} R R₃ R₃ M P (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_5 _inst_7 _inst_14 _inst_16 σ₁₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_16 (smulCommClass_self.{u3, u6} R₃ P (CommSemiring.toCommMonoid.{u3} R₃ _inst_3) (MulActionWithZero.toMulAction.{u3, u6} R₃ P (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3)) (AddMonoid.toZero.{u6} P (AddCommMonoid.toAddMonoid.{u6} P _inst_7)) (Module.toMulActionWithZero.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7 _inst_16))))) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max (max u6 u2) u5, max (max u6 u2) u5} R₃ R₃ (LinearMap.{u4, u3, u5, max u6 u2} R R₃ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M (LinearMap.{u1, u3, u2, u6} R₂ R₃ (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) _inst_5 (LinearMap.addCommMonoid.{u1, u3, u2, u6} R₂ R₃ N P (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u3, u3, u2, u6} R₂ R₃ R₃ N P (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_16 (smulCommClass_self.{u3, u6} R₃ P (CommSemiring.toCommMonoid.{u3} R₃ _inst_3) (MulActionWithZero.toMulAction.{u3, u6} R₃ P (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3)) (AddMonoid.toZero.{u6} P (AddCommMonoid.toAddMonoid.{u6} P _inst_7)) (Module.toMulActionWithZero.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7 _inst_16))))) (LinearMap.{u1, u3, u2, max u6 u5} R₂ R₃ (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N (LinearMap.{u4, u3, u5, u6} R R₃ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M P _inst_5 _inst_7 _inst_14 _inst_16) _inst_6 (LinearMap.addCommMonoid.{u4, u3, u5, u6} R R₃ M P (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_5 _inst_7 _inst_14 _inst_16 σ₁₃) _inst_15 (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u3, u3, u5, u6} R R₃ R₃ M P (CommSemiring.toSemiring.{u4} R _inst_1) 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 Case conversion may be inaccurate. Consider using '#align linear_map.lflip_apply LinearMap.lflip_applyₓ'. -/
 @[simp]
 theorem lflip_apply (m : M) (n : N) : lflip R M N P f n m = f m n :=
@@ -429,7 +429,7 @@ variable {R Pₗ}
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {M : Type.{u2}} {Nₗ : Type.{u3}} {Pₗ : Type.{u4}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_19 : Module.{u1, u3} R Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10] [_inst_20 : Module.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11] (f : LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (g : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (x : M), Eq.{succ u4} 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 but is expected to have type
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(CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) Nₗ (fun (_x : Nₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : Nₗ) => Pₗ) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u2, u1} R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) g (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => Nₗ) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) f x))
+  forall {R : Type.{u4}} [_inst_1 : CommSemiring.{u4} R] {M : Type.{u3}} {Nₗ : Type.{u2}} {Pₗ : Type.{u1}} [_inst_5 : AddCommMonoid.{u3} M] [_inst_10 : AddCommMonoid.{u2} Nₗ] [_inst_11 : AddCommMonoid.{u1} Pₗ] [_inst_14 : Module.{u4, u3} R M (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5] [_inst_19 : Module.{u4, u2} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10] [_inst_20 : Module.{u4, u1} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11] (f : LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (g : LinearMap.{u4, u4, u2, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (x : M), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => Pₗ) x) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : LinearMap.{u4, u4, u2, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) => LinearMap.{u4, u4, u3, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) g) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => Pₗ) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u1} R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (FunLike.coe.{max (max (succ u3) (succ u2)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (LinearMap.{u4, u4, max u1 u2, max u1 u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (LinearMap.{u4, u4, u2, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (LinearMap.{u4, u4, u3, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (LinearMap.addCommMonoid.{u4, u4, u2, u1} R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} 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_inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (fun (_x : LinearMap.{u4, u4, u2, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : LinearMap.{u4, u4, u2, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) => LinearMap.{u4, u4, u3, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) _x) 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R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u1} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u1} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u1} Pₗ (AddCommMonoid.toAddMonoid.{u1} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u1} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.lcomp.{u4, u3, u2, u1} R _inst_1 M Nₗ Pₗ _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20 f) g) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u4, u2, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) Nₗ (fun (_x : Nₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Nₗ) => Pₗ) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u2, u1} R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) g (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => Nₗ) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) f x))
 Case conversion may be inaccurate. Consider using '#align linear_map.lcomp_apply LinearMap.lcomp_applyₓ'. -/
 @[simp]
 theorem lcomp_apply (f : M →ₗ[R] Nₗ) (g : Nₗ →ₗ[R] Pₗ) (x : M) : lcomp R Pₗ f g x = g (f x) :=
@@ -440,7 +440,7 @@ theorem lcomp_apply (f : M →ₗ[R] Nₗ) (g : Nₗ →ₗ[R] Pₗ) (x : M) : l
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {M : Type.{u2}} {Nₗ : Type.{u3}} {Pₗ : Type.{u4}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_19 : Module.{u1, u3} R Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10] [_inst_20 : Module.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11] (f : LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (g : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20), Eq.{max (succ u2) 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 but is expected to have type
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(CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u1} Pₗ (AddCommMonoid.toAddMonoid.{u1} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u1} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.lcomp.{u4, u3, u2, u1} R _inst_1 M Nₗ Pₗ _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20 f) g) (LinearMap.comp.{u4, u4, u4, u3, u2, u1} R R R M Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHomCompTriple.ids.{u4, u4} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) g f)
+  forall {R : Type.{u4}} [_inst_1 : CommSemiring.{u4} R] {M : Type.{u3}} {Nₗ : Type.{u2}} {Pₗ : Type.{u1}} [_inst_5 : AddCommMonoid.{u3} M] [_inst_10 : AddCommMonoid.{u2} Nₗ] [_inst_11 : AddCommMonoid.{u1} Pₗ] [_inst_14 : Module.{u4, u3} R M (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5] [_inst_19 : Module.{u4, u2} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10] [_inst_20 : Module.{u4, u1} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11] (f : LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (g : LinearMap.{u4, u4, u2, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : LinearMap.{u4, u4, u2, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) => LinearMap.{u4, u4, u3, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) g) (FunLike.coe.{max (max (succ u3) (succ u2)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (LinearMap.{u4, u4, max u1 u2, max u1 u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (LinearMap.{u4, u4, u2, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (LinearMap.{u4, u4, u3, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (LinearMap.addCommMonoid.{u4, u4, u2, u1} R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.addCommMonoid.{u4, u4, u3, u1} R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u2, u1} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u1} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u1} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u1} Pₗ (AddCommMonoid.toAddMonoid.{u1} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u1} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u3, u1} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u1} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u1} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u1} Pₗ (AddCommMonoid.toAddMonoid.{u1} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u1} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))))) (LinearMap.{u4, u4, u2, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (fun (_x : LinearMap.{u4, u4, u2, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : LinearMap.{u4, u4, u2, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) => LinearMap.{u4, u4, u3, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, max u2 u1, max u3 u1} R R (LinearMap.{u4, u4, u2, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (LinearMap.{u4, u4, u3, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (LinearMap.addCommMonoid.{u4, u4, u2, u1} R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.addCommMonoid.{u4, u4, u3, u1} R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u2, u1} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u1} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u1} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u1} Pₗ (AddCommMonoid.toAddMonoid.{u1} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u1} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u3, u1} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u1} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u1} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u1} Pₗ (AddCommMonoid.toAddMonoid.{u1} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u1} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.lcomp.{u4, u3, u2, u1} R _inst_1 M Nₗ Pₗ _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20 f) g) (LinearMap.comp.{u4, u4, u4, u3, u2, u1} R R R M Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHomCompTriple.ids.{u4, u4} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) g f)
 Case conversion may be inaccurate. Consider using '#align linear_map.lcomp_apply' LinearMap.lcomp_apply'ₓ'. -/
 theorem lcomp_apply' (f : M →ₗ[R] Nₗ) (g : Nₗ →ₗ[R] Pₗ) : lcomp R Pₗ f g = g ∘ₗ f :=
   rfl
@@ -464,7 +464,7 @@ include σ₁₃
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {R₂ : Type.{u2}} [_inst_2 : CommSemiring.{u2} R₂] {R₃ : Type.{u3}} [_inst_3 : CommSemiring.{u3} R₃] {M : Type.{u4}} {N : Type.{u5}} {P : Type.{u6}} [_inst_5 : AddCommMonoid.{u4} M] [_inst_6 : AddCommMonoid.{u5} N] [_inst_7 : AddCommMonoid.{u6} P] [_inst_14 : Module.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_15 : Module.{u2, u5} R₂ N (CommSemiring.toSemiring.{u2} R₂ _inst_2) _inst_6] [_inst_16 : Module.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7] {σ₁₂ : RingHom.{u1, u2} R R₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R₂ (CommSemiring.toSemiring.{u2} R₂ _inst_2))} {σ₂₃ : RingHom.{u2, u3} R₂ R₃ (Semiring.toNonAssocSemiring.{u2} R₂ (CommSemiring.toSemiring.{u2} R₂ _inst_2)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} {σ₁₃ : RingHom.{u1, u3} R R₃ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} [_inst_23 : RingHomCompTriple.{u1, u2, u3} R R₂ R₃ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₂ σ₂₃ σ₁₃] (f : LinearMap.{u1, u2, u4, u5} R R₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u2} R₂ _inst_2) σ₁₂ M N _inst_5 _inst_6 _inst_14 _inst_15) (g : LinearMap.{u2, u3, u5, u6} R₂ R₃ (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) (x : M), Eq.{succ u6} P (coeFn.{max (succ u4) (succ u6), max (succ u4) (succ u6)} (LinearMap.{u1, u3, u4, u6} R R₃ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M P _inst_5 _inst_7 _inst_14 _inst_16) (fun (_x : LinearMap.{u1, u3, u4, u6} R R₃ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ 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_inst_6 _inst_7 _inst_15 _inst_16) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u5, u2, u3, u1} R₂ R₃ N P (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) g (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearMap.{u6, u5, u4, u3} R R₂ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u5} R₂ _inst_2) σ₁₂ M N _inst_5 _inst_6 _inst_14 _inst_15) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => N) _x) (LinearMap.instFunLikeLinearMap.{u6, u5, u4, u3} R R₂ M N (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u5} R₂ _inst_2) _inst_5 _inst_6 _inst_14 _inst_15 σ₁₂) f x))
+  forall {R : Type.{u6}} [_inst_1 : CommSemiring.{u6} R] {R₂ : Type.{u5}} [_inst_2 : CommSemiring.{u5} R₂] {R₃ : Type.{u2}} [_inst_3 : CommSemiring.{u2} R₃] {M : Type.{u4}} {N : Type.{u3}} {P : Type.{u1}} [_inst_5 : AddCommMonoid.{u4} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u1} P] [_inst_14 : Module.{u6, u4} R M (CommSemiring.toSemiring.{u6} R _inst_1) _inst_5] [_inst_15 : Module.{u5, u3} R₂ N (CommSemiring.toSemiring.{u5} R₂ _inst_2) _inst_6] [_inst_16 : Module.{u2, u1} R₃ P (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_7] {σ₁₂ : RingHom.{u6, u5} R R₂ (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)) (Semiring.toNonAssocSemiring.{u5} R₂ (CommSemiring.toSemiring.{u5} R₂ _inst_2))} {σ₂₃ : RingHom.{u5, u2} R₂ R₃ (Semiring.toNonAssocSemiring.{u5} R₂ (CommSemiring.toSemiring.{u5} R₂ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3))} {σ₁₃ : RingHom.{u6, u2} R R₃ (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3))} [_inst_23 : RingHomCompTriple.{u6, u5, u2} R R₂ R₃ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₁₂ σ₂₃ σ₁₃] (f : LinearMap.{u6, u5, u4, u3} R R₂ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u5} R₂ _inst_2) σ₁₂ M N _inst_5 _inst_6 _inst_14 _inst_15) (g : LinearMap.{u5, u2, u3, u1} R₂ R₃ (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) (x : M), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => P) x) (FunLike.coe.{max (succ u4) (succ u1), succ u4, succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : LinearMap.{u5, u2, u3, u1} R₂ R₃ (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) => LinearMap.{u6, u2, u4, u1} R R₃ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₁₃ M P _inst_5 _inst_7 _inst_14 _inst_16) g) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => P) _x) (LinearMap.instFunLikeLinearMap.{u6, u2, u4, u1} R R₃ M P (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_5 _inst_7 _inst_14 _inst_16 σ₁₃) (FunLike.coe.{max (max (succ u4) (succ u3)) (succ u1), max (succ u3) (succ u1), max (succ u4) (succ u1)} (LinearMap.{u2, u2, max u1 u3, max u1 u4} R₃ R₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3) (CommSemiring.toSemiring.{u2} R₃ _inst_3) (RingHom.id.{u2} R₃ (Semiring.toNonAssocSemiring.{u2} R₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3))) (LinearMap.{u5, u2, u3, u1} R₂ R₃ (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) (LinearMap.{u6, u2, u4, u1} R R₃ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₁₃ M P _inst_5 _inst_7 _inst_14 _inst_16) (LinearMap.addCommMonoid.{u5, u2, u3, u1} R₂ R₃ N P (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) (LinearMap.addCommMonoid.{u6, u2, u4, u1} R R₃ M P (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_5 _inst_7 _inst_14 _inst_16 σ₁₃) (LinearMap.instModuleLinearMapAddCommMonoid.{u5, u2, u2, u3, u1} R₂ R₃ R₃ N P (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_16 (smulCommClass_self.{u2, u1} R₃ P (CommSemiring.toCommMonoid.{u2} R₃ _inst_3) (MulActionWithZero.toMulAction.{u2, u1} R₃ P (Semiring.toMonoidWithZero.{u2} R₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3)) (AddMonoid.toZero.{u1} P (AddCommMonoid.toAddMonoid.{u1} P _inst_7)) (Module.toMulActionWithZero.{u2, u1} R₃ P (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_7 _inst_16)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u6, u2, u2, u4, u1} R R₃ R₃ M P (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_5 _inst_7 _inst_14 _inst_16 σ₁₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_16 (smulCommClass_self.{u2, u1} R₃ P (CommSemiring.toCommMonoid.{u2} R₃ _inst_3) (MulActionWithZero.toMulAction.{u2, u1} R₃ P (Semiring.toMonoidWithZero.{u2} R₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3)) (AddMonoid.toZero.{u1} P (AddCommMonoid.toAddMonoid.{u1} P _inst_7)) (Module.toMulActionWithZero.{u2, u1} R₃ P (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_7 _inst_16))))) (LinearMap.{u5, u2, u3, u1} R₂ R₃ (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) (fun (_x : LinearMap.{u5, u2, u3, u1} R₂ R₃ (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : LinearMap.{u5, u2, u3, u1} R₂ R₃ (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) => LinearMap.{u6, u2, u4, u1} R R₃ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₁₃ M P _inst_5 _inst_7 _inst_14 _inst_16) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u3 u1, max u4 u1} R₃ R₃ (LinearMap.{u5, u2, u3, u1} R₂ R₃ (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) (LinearMap.{u6, u2, u4, u1} R R₃ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₁₃ M P _inst_5 _inst_7 _inst_14 _inst_16) (CommSemiring.toSemiring.{u2} R₃ _inst_3) (CommSemiring.toSemiring.{u2} R₃ _inst_3) (LinearMap.addCommMonoid.{u5, u2, u3, u1} R₂ R₃ N P (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) (LinearMap.addCommMonoid.{u6, u2, u4, u1} R R₃ M P (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_5 _inst_7 _inst_14 _inst_16 σ₁₃) (LinearMap.instModuleLinearMapAddCommMonoid.{u5, u2, u2, u3, u1} R₂ R₃ R₃ N P (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_16 (smulCommClass_self.{u2, u1} R₃ P (CommSemiring.toCommMonoid.{u2} R₃ _inst_3) (MulActionWithZero.toMulAction.{u2, u1} R₃ P (Semiring.toMonoidWithZero.{u2} R₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3)) (AddMonoid.toZero.{u1} P (AddCommMonoid.toAddMonoid.{u1} P _inst_7)) (Module.toMulActionWithZero.{u2, u1} R₃ P (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_7 _inst_16)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u6, u2, u2, u4, u1} R R₃ R₃ M P (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_5 _inst_7 _inst_14 _inst_16 σ₁₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_16 (smulCommClass_self.{u2, u1} R₃ P (CommSemiring.toCommMonoid.{u2} R₃ _inst_3) (MulActionWithZero.toMulAction.{u2, u1} R₃ P (Semiring.toMonoidWithZero.{u2} R₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3)) (AddMonoid.toZero.{u1} P (AddCommMonoid.toAddMonoid.{u1} P _inst_7)) (Module.toMulActionWithZero.{u2, u1} R₃ P (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_7 _inst_16)))) (RingHom.id.{u2} R₃ (Semiring.toNonAssocSemiring.{u2} R₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3)))) (LinearMap.lcompₛₗ.{u6, u5, u2, u4, u3, u1} R _inst_1 R₂ _inst_2 R₃ _inst_3 M N P _inst_5 _inst_6 _inst_7 _inst_14 _inst_15 _inst_16 σ₁₂ σ₂₃ σ₁₃ _inst_23 f) g) x) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (LinearMap.{u5, u2, u3, u1} R₂ R₃ (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u5, u2, u3, u1} R₂ R₃ N P (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) g (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearMap.{u6, u5, u4, u3} R R₂ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u5} R₂ _inst_2) σ₁₂ M N _inst_5 _inst_6 _inst_14 _inst_15) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => N) _x) (LinearMap.instFunLikeLinearMap.{u6, u5, u4, u3} R R₂ M N (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u5} R₂ _inst_2) _inst_5 _inst_6 _inst_14 _inst_15 σ₁₂) f x))
 Case conversion may be inaccurate. Consider using '#align linear_map.lcompₛₗ_apply LinearMap.lcompₛₗ_applyₓ'. -/
 @[simp]
 theorem lcompₛₗ_apply (f : M →ₛₗ[σ₁₂] N) (g : N →ₛₗ[σ₂₃] P) (x : M) :
@@ -494,7 +494,7 @@ section
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {M : Type.{u2}} {Nₗ : Type.{u3}} {Pₗ : Type.{u4}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_19 : Module.{u1, u3} R Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10] [_inst_20 : Module.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11] (f : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (g : LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (x : M), Eq.{succ u4} Pₗ (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (LinearMap.{u1, u1, u2, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (fun (_x : LinearMap.{u1, u1, u2, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) => M -> Pₗ) (LinearMap.hasCoeToFun.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeFn.{max (succ (max u2 u3)) (succ (max u2 u4)), max (succ (max u2 u3)) (succ (max u2 u4))} (LinearMap.{u1, u1, max u2 u3, max u2 u4} R R 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(CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u2, u3} R R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_19 (LinearMap.llcomp._proof_1.{u1, u3} R _inst_1 Nₗ _inst_10 _inst_19)) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_3.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)) (LinearMap.module.{u1, u1, u1, max u2 u3, max u2 u4} R R R (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u1, u1, u2, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u2, u3} R R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_19 (LinearMap.llcomp._proof_1.{u1, u3} R _inst_1 Nₗ _inst_10 _inst_19)) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)) (LinearMap.llcomp._proof_4.{u1, u4, u2} R _inst_1 M Pₗ _inst_5 _inst_11 _inst_14 _inst_20))) => (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) -> (LinearMap.{u1, u1, max u2 u3, max u2 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u1, u1, u2, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u2, u3} R R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_19 (LinearMap.llcomp._proof_1.{u1, u3} R _inst_1 Nₗ _inst_10 _inst_19)) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)))) (LinearMap.hasCoeToFun.{u1, u1, max u3 u4, max (max u2 u3) u2 u4} R R (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (LinearMap.{u1, u1, max u2 u3, max u2 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u1, u1, u2, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u2, u3} R R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_19 (LinearMap.llcomp._proof_1.{u1, u3} R _inst_1 Nₗ _inst_10 _inst_19)) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20))) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.addCommMonoid.{u1, u1, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, max u2 u3, max u2 u4} R R (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u1, u1, u2, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u2, u3} R R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R 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(LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, max u1 u3, max u1 u2} R R R (LinearMap.{u4, u4, u1, u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u4, u4, u1, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (LinearMap.addCommMonoid.{u4, u4, u1, u3} R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.addCommMonoid.{u4, u4, u1, u2} R R M Pₗ 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R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (LinearMap.instSMulCommClassLinearMapInstSMulLinearMapInstSMulLinearMap.{u4, u4, u4, u4, u1, u2} R R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toDistribMulAction.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toDistribMulAction.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.llcomp.{u4, u1, u3, u2} R _inst_1 M Nₗ Pₗ _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20) f) g) x) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) Nₗ (fun (_x : Nₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : Nₗ) => Pₗ) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) f (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u4, u4, u1, u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => Nₗ) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u1, u3} R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) g x))
+  forall {R : Type.{u4}} [_inst_1 : CommSemiring.{u4} R] {M : Type.{u1}} {Nₗ : Type.{u3}} {Pₗ : Type.{u2}} [_inst_5 : AddCommMonoid.{u1} M] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u2} Pₗ] [_inst_14 : Module.{u4, u1} R M (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5] [_inst_19 : Module.{u4, u3} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10] [_inst_20 : Module.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11] (f : LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (g : LinearMap.{u4, u4, u1, u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (x : M), Eq.{succ u2} 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(CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_19)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (LinearMap.instSMulCommClassLinearMapInstSMulLinearMapInstSMulLinearMap.{u4, u4, u4, u4, u1, u2} R R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toDistribMulAction.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toDistribMulAction.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))))) (LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (fun (_x : LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) => LinearMap.{u4, u4, max u3 u1, max u2 u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (LinearMap.{u4, u4, u1, u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u4, u4, u1, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (LinearMap.addCommMonoid.{u4, u4, u1, u3} R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.addCommMonoid.{u4, u4, u1, u2} R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u3} R R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_19 (smulCommClass_self.{u4, u3} R Nₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u3} R Nₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10)) (Module.toMulActionWithZero.{u4, u3} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_19)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))))) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, max u3 u2, max (max u1 u3) u2} R R (LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (LinearMap.{u4, u4, max u3 u1, max u2 u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (LinearMap.{u4, u4, u1, u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u4, u4, u1, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (LinearMap.addCommMonoid.{u4, u4, u1, u3} R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.addCommMonoid.{u4, u4, u1, u2} R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u3} R R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R 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(AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))))) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (LinearMap.addCommMonoid.{u4, u4, u3, u2} R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.addCommMonoid.{u4, u4, max u1 u3, max u1 u2} R R (LinearMap.{u4, u4, u1, u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u4, u4, u1, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (LinearMap.addCommMonoid.{u4, u4, u1, u3} R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.addCommMonoid.{u4, u4, u1, u2} R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u3} R R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_19 (smulCommClass_self.{u4, u3} R Nₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u3} R Nₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10)) (Module.toMulActionWithZero.{u4, u3} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_19)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u3, u2} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) 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(CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u3} R R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_19 (smulCommClass_self.{u4, u3} R Nₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u3} R Nₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10)) (Module.toMulActionWithZero.{u4, u3} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_19)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (LinearMap.instSMulCommClassLinearMapInstSMulLinearMapInstSMulLinearMap.{u4, u4, u4, u4, u1, u2} R R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toDistribMulAction.{u4, u2} R Pₗ 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_inst_11 _inst_20))) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.llcomp.{u4, u1, u3, u2} R _inst_1 M Nₗ Pₗ _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20) f) g) x) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) Nₗ (fun (_x : Nₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Nₗ) => Pₗ) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) f (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u4, u4, u1, u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => Nₗ) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u1, u3} R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) g x))
 Case conversion may be inaccurate. Consider using '#align linear_map.llcomp_apply LinearMap.llcomp_applyₓ'. -/
 @[simp]
 theorem llcomp_apply (f : Nₗ →ₗ[R] Pₗ) (g : M →ₗ[R] Nₗ) (x : M) :
@@ -506,7 +506,7 @@ theorem llcomp_apply (f : Nₗ →ₗ[R] Pₗ) (g : M →ₗ[R] Nₗ) (x : M) :
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {M : Type.{u2}} {Nₗ : Type.{u3}} {Pₗ : Type.{u4}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_19 : Module.{u1, u3} R Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10] [_inst_20 : Module.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11] (f : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (g : LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19), Eq.{max (succ u2) 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(CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u2, u3} R R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) 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(CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_3.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)) (LinearMap.module.{u1, u1, u1, max u2 u3, max u2 u4} R R R (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u1, u1, u2, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u2, u3} R R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_19 (LinearMap.llcomp._proof_1.{u1, u3} R _inst_1 Nₗ _inst_10 _inst_19)) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)) (LinearMap.llcomp._proof_4.{u1, u4, u2} R _inst_1 M Pₗ _inst_5 _inst_11 _inst_14 _inst_20))) => (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) -> (LinearMap.{u1, u1, max u2 u3, max u2 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u1, u1, u2, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u2, u3} R R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_19 (LinearMap.llcomp._proof_1.{u1, u3} R _inst_1 Nₗ _inst_10 _inst_19)) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)))) (LinearMap.hasCoeToFun.{u1, u1, max u3 u4, max (max u2 u3) u2 u4} R R (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (LinearMap.{u1, u1, max u2 u3, max u2 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u1, u1, u2, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u2, u3} R R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_19 (LinearMap.llcomp._proof_1.{u1, u3} R _inst_1 Nₗ _inst_10 _inst_19)) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20))) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.addCommMonoid.{u1, u1, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, max u2 u3, max u2 u4} R R (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u1, u1, u2, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u2, u3} R R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_19 (LinearMap.llcomp._proof_1.{u1, u3} R _inst_1 Nₗ _inst_10 _inst_19)) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_3.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)) (LinearMap.module.{u1, u1, u1, max u2 u3, max u2 u4} R R R (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u1, u1, u2, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u2, u3} R R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_19 (LinearMap.llcomp._proof_1.{u1, u3} R _inst_1 Nₗ _inst_10 _inst_19)) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)) (LinearMap.llcomp._proof_4.{u1, u4, u2} R _inst_1 M Pₗ _inst_5 _inst_11 _inst_14 _inst_20)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.llcomp.{u1, u2, u3, u4} R _inst_1 M Nₗ Pₗ _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20) f) g) (LinearMap.comp.{u1, u1, u1, u2, u3, u4} R R R M Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomCompTriple.ids.{u1, u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f g)
 but is expected to have type
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(MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} 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(CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toDistribMulAction.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))))) (LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (fun (_x : LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) => LinearMap.{u4, u4, max u3 u1, max u2 u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) 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(CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))))) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, max u3 u2, max (max u1 u3) u2} R R (LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (LinearMap.{u4, u4, max u3 u1, max u2 u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (LinearMap.{u4, u4, u1, u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u4, u4, u1, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (LinearMap.addCommMonoid.{u4, u4, u1, u3} R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.addCommMonoid.{u4, u4, u1, u2} R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u3} R R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_19 (smulCommClass_self.{u4, u3} R Nₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u3} R Nₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10)) (Module.toMulActionWithZero.{u4, u3} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_19)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))))) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (LinearMap.addCommMonoid.{u4, u4, u3, u2} R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R 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+  forall {R : Type.{u4}} [_inst_1 : CommSemiring.{u4} R] {M : Type.{u1}} {Nₗ : Type.{u3}} {Pₗ : Type.{u2}} [_inst_5 : AddCommMonoid.{u1} M] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u2} Pₗ] [_inst_14 : Module.{u4, u1} R M (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5] [_inst_19 : Module.{u4, u3} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10] [_inst_20 : Module.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11] (f : LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (g : LinearMap.{u4, u4, u1, u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19), Eq.{max (succ u1) 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_inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u3} R R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_19 (smulCommClass_self.{u4, u3} R Nₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u3} R Nₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10)) (Module.toMulActionWithZero.{u4, u3} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_19)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) 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Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u3} R R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_19 (smulCommClass_self.{u4, u3} R Nₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u3} R Nₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10)) (Module.toMulActionWithZero.{u4, u3} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_19)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))))) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (LinearMap.addCommMonoid.{u4, u4, u3, u2} R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.addCommMonoid.{u4, u4, max u1 u3, max u1 u2} R R (LinearMap.{u4, u4, u1, u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u4, u4, u1, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (LinearMap.addCommMonoid.{u4, u4, u1, u3} R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.addCommMonoid.{u4, u4, u1, u2} R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u3} R R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_19 (smulCommClass_self.{u4, u3} R Nₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u3} R Nₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10)) (Module.toMulActionWithZero.{u4, u3} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_19)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u3, u2} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, max u1 u3, max u1 u2} R R R (LinearMap.{u4, u4, u1, u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u4, u4, u1, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (LinearMap.addCommMonoid.{u4, u4, u1, u3} R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.addCommMonoid.{u4, u4, u1, u2} R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u3} R R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_19 (smulCommClass_self.{u4, u3} R Nₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u3} R Nₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10)) (Module.toMulActionWithZero.{u4, u3} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_19)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (LinearMap.instSMulCommClassLinearMapInstSMulLinearMapInstSMulLinearMap.{u4, u4, u4, u4, u1, u2} R R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toDistribMulAction.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toDistribMulAction.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.llcomp.{u4, u1, u3, u2} R _inst_1 M Nₗ Pₗ _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20) f) g) (LinearMap.comp.{u4, u4, u4, u1, u3, u2} R R R M Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHomCompTriple.ids.{u4, u4} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) f g)
 Case conversion may be inaccurate. Consider using '#align linear_map.llcomp_apply' LinearMap.llcomp_apply'ₓ'. -/
 theorem llcomp_apply' (f : Nₗ →ₗ[R] Pₗ) (g : M →ₗ[R] Nₗ) : llcomp R M Nₗ Pₗ f g = f ∘ₗ g :=
   rfl
@@ -528,7 +528,7 @@ include σ₄₃
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {R₂ : Type.{u2}} [_inst_2 : CommSemiring.{u2} R₂] {R₃ : Type.{u3}} [_inst_3 : CommSemiring.{u3} R₃] {R₄ : Type.{u4}} [_inst_4 : CommSemiring.{u4} R₄] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} {Q : Type.{u8}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_8 : AddCommMonoid.{u8} Q] [_inst_14 : Module.{u1, u5} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_15 : Module.{u2, u6} R₂ N (CommSemiring.toSemiring.{u2} R₂ _inst_2) _inst_6] [_inst_16 : Module.{u3, u7} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7] [_inst_17 : Module.{u4, u8} R₄ Q (CommSemiring.toSemiring.{u4} R₄ _inst_4) _inst_8] {σ₂₃ : RingHom.{u2, u3} R₂ R₃ (Semiring.toNonAssocSemiring.{u2} R₂ (CommSemiring.toSemiring.{u2} R₂ _inst_2)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} {σ₁₃ : RingHom.{u1, u3} R R₃ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} {σ₄₂ : RingHom.{u4, u2} R₄ R₂ (Semiring.toNonAssocSemiring.{u4} R₄ (CommSemiring.toSemiring.{u4} R₄ _inst_4)) (Semiring.toNonAssocSemiring.{u2} R₂ (CommSemiring.toSemiring.{u2} R₂ _inst_2))} {σ₄₃ : RingHom.{u4, u3} R₄ R₃ (Semiring.toNonAssocSemiring.{u4} R₄ (CommSemiring.toSemiring.{u4} R₄ _inst_4)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} [_inst_24 : RingHomCompTriple.{u4, u2, u3} R₄ R₂ R₃ (CommSemiring.toSemiring.{u4} R₄ _inst_4) (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₄₂ σ₂₃ σ₄₃] (f : LinearMap.{u1, u3, u5, max u6 u7} R R₃ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M (LinearMap.{u2, u3, u6, u7} R₂ R₃ (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) _inst_5 (LinearMap.addCommMonoid.{u2, u3, u6, u7} R₂ R₃ N P (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) _inst_14 (LinearMap.module.{u2, u3, u3, u6, u7} R₂ R₃ R₃ N P (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_16 (smulCommClass_self.{u3, u7} R₃ P (CommSemiring.toCommMonoid.{u3} R₃ _inst_3) (MulActionWithZero.toMulAction.{u3, u7} R₃ P (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3)) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7 _inst_16))))) (g : LinearMap.{u4, u2, u8, u6} R₄ R₂ (CommSemiring.toSemiring.{u4} R₄ _inst_4) (CommSemiring.toSemiring.{u2} R₂ _inst_2) σ₄₂ Q N _inst_8 _inst_6 _inst_17 _inst_15) (m : M) (q : Q), Eq.{succ u7} P (coeFn.{max (succ u8) (succ u7), max (succ u8) (succ u7)} (LinearMap.{u4, u3, u8, u7} R₄ R₃ (CommSemiring.toSemiring.{u4} R₄ _inst_4) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₄₃ Q P _inst_8 _inst_7 _inst_17 _inst_16) (fun (_x : LinearMap.{u4, u3, u8, u7} R₄ R₃ (CommSemiring.toSemiring.{u4} R₄ _inst_4) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₄₃ Q P _inst_8 _inst_7 _inst_17 _inst_16) => Q -> P) (LinearMap.hasCoeToFun.{u4, u3, u8, u7} R₄ R₃ Q P (CommSemiring.toSemiring.{u4} R₄ _inst_4) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_8 _inst_7 _inst_17 _inst_16 σ₄₃) (coeFn.{max (succ u5) (succ (max u8 u7)), max (succ u5) (succ (max u8 u7))} (LinearMap.{u1, u3, u5, max u8 u7} R R₃ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M (LinearMap.{u4, u3, u8, u7} R₄ R₃ (CommSemiring.toSemiring.{u4} R₄ _inst_4) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₄₃ Q P _inst_8 _inst_7 _inst_17 _inst_16) _inst_5 (LinearMap.addCommMonoid.{u4, 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(CommSemiring.toSemiring.{u4} R₄ _inst_4) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_8 _inst_7 _inst_17 _inst_16 σ₄₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_16 (LinearMap.compl₂._proof_2.{u3, u7} R₃ _inst_3 P _inst_7 _inst_16))) => M -> (LinearMap.{u4, u3, u8, u7} R₄ R₃ (CommSemiring.toSemiring.{u4} R₄ _inst_4) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₄₃ Q P _inst_8 _inst_7 _inst_17 _inst_16)) (LinearMap.hasCoeToFun.{u1, u3, u5, max u8 u7} R R₃ M (LinearMap.{u4, u3, u8, u7} R₄ R₃ (CommSemiring.toSemiring.{u4} R₄ _inst_4) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₄₃ Q P _inst_8 _inst_7 _inst_17 _inst_16) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_5 (LinearMap.addCommMonoid.{u4, u3, u8, u7} R₄ R₃ Q P (CommSemiring.toSemiring.{u4} R₄ _inst_4) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_8 _inst_7 _inst_17 _inst_16 σ₄₃) _inst_14 (LinearMap.module.{u4, u3, u3, u8, u7} R₄ R₃ R₃ Q P (CommSemiring.toSemiring.{u4} R₄ _inst_4) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_8 _inst_7 _inst_17 _inst_16 σ₄₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_16 (LinearMap.compl₂._proof_2.{u3, u7} R₃ _inst_3 P _inst_7 _inst_16)) σ₁₃) (LinearMap.compl₂.{u1, u2, u3, u4, u5, u6, u7, u8} R _inst_1 R₂ _inst_2 R₃ _inst_3 R₄ _inst_4 M N P Q _inst_5 _inst_6 _inst_7 _inst_8 _inst_14 _inst_15 _inst_16 _inst_17 σ₂₃ σ₁₃ σ₄₂ σ₄₃ _inst_24 f g) m) q) (coeFn.{max (succ u6) (succ u7), max (succ u6) (succ u7)} (LinearMap.{u2, u3, u6, u7} R₂ R₃ (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) (fun (_x : LinearMap.{u2, u3, u6, u7} R₂ R₃ (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) => N -> P) (LinearMap.hasCoeToFun.{u2, u3, u6, u7} R₂ R₃ N P (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) (coeFn.{max 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P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7 _inst_16))))) (fun (_x : LinearMap.{u1, u3, u5, max u6 u7} R R₃ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M (LinearMap.{u2, u3, u6, u7} R₂ R₃ (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) _inst_5 (LinearMap.addCommMonoid.{u2, u3, u6, u7} R₂ R₃ N P (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) _inst_14 (LinearMap.module.{u2, u3, u3, u6, u7} R₂ R₃ R₃ N P (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_16 (smulCommClass_self.{u3, u7} R₃ P (CommSemiring.toCommMonoid.{u3} R₃ _inst_3) 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(LinearMap.module.{u2, u3, u3, u6, u7} R₂ R₃ R₃ N P (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_16 (smulCommClass_self.{u3, u7} R₃ P (CommSemiring.toCommMonoid.{u3} R₃ _inst_3) (MulActionWithZero.toMulAction.{u3, u7} R₃ P (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3)) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7 _inst_16)))) σ₁₃) f m) (coeFn.{max (succ u8) (succ u6), max (succ u8) (succ u6)} (LinearMap.{u4, u2, u8, u6} R₄ R₂ (CommSemiring.toSemiring.{u4} R₄ _inst_4) (CommSemiring.toSemiring.{u2} R₂ _inst_2) σ₄₂ Q N _inst_8 _inst_6 _inst_17 _inst_15) (fun (_x : LinearMap.{u4, u2, u8, u6} R₄ R₂ (CommSemiring.toSemiring.{u4} R₄ _inst_4) (CommSemiring.toSemiring.{u2} R₂ _inst_2) σ₄₂ Q N _inst_8 _inst_6 _inst_17 _inst_15) => Q -> N) (LinearMap.hasCoeToFun.{u4, u2, u8, u6} R₄ R₂ Q N (CommSemiring.toSemiring.{u4} R₄ _inst_4) (CommSemiring.toSemiring.{u2} R₂ _inst_2) _inst_8 _inst_6 _inst_17 _inst_15 σ₄₂) g q))
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {R₂ : Type.{u7}} [_inst_2 : CommSemiring.{u7} R₂] {R₃ : Type.{u3}} [_inst_3 : CommSemiring.{u3} R₃] {R₄ : Type.{u8}} [_inst_4 : CommSemiring.{u8} R₄] {M : Type.{u2}} {N : Type.{u5}} {P : Type.{u4}} {Q : Type.{u6}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_6 : AddCommMonoid.{u5} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_8 : AddCommMonoid.{u6} Q] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_15 : Module.{u7, u5} R₂ N (CommSemiring.toSemiring.{u7} R₂ _inst_2) _inst_6] [_inst_16 : Module.{u3, u4} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7] [_inst_17 : Module.{u8, u6} R₄ Q (CommSemiring.toSemiring.{u8} R₄ _inst_4) _inst_8] {σ₂₃ : RingHom.{u7, u3} R₂ R₃ (Semiring.toNonAssocSemiring.{u7} R₂ (CommSemiring.toSemiring.{u7} R₂ _inst_2)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} {σ₁₃ : RingHom.{u1, u3} R R₃ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} {σ₄₂ : RingHom.{u8, u7} R₄ R₂ (Semiring.toNonAssocSemiring.{u8} R₄ (CommSemiring.toSemiring.{u8} R₄ _inst_4)) (Semiring.toNonAssocSemiring.{u7} R₂ (CommSemiring.toSemiring.{u7} R₂ _inst_2))} {σ₄₃ : RingHom.{u8, u3} R₄ R₃ (Semiring.toNonAssocSemiring.{u8} R₄ (CommSemiring.toSemiring.{u8} R₄ _inst_4)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} [_inst_24 : RingHomCompTriple.{u8, u7, u3} R₄ R₂ R₃ (CommSemiring.toSemiring.{u8} R₄ _inst_4) (CommSemiring.toSemiring.{u7} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₄₂ σ₂₃ σ₄₃] (f : LinearMap.{u1, u3, u2, max u4 u5} R R₃ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M (LinearMap.{u7, u3, u5, u4} R₂ R₃ (CommSemiring.toSemiring.{u7} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) _inst_5 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+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {R₂ : Type.{u7}} [_inst_2 : CommSemiring.{u7} R₂] {R₃ : Type.{u3}} [_inst_3 : CommSemiring.{u3} R₃] {R₄ : Type.{u8}} [_inst_4 : CommSemiring.{u8} R₄] {M : Type.{u2}} {N : Type.{u5}} {P : Type.{u4}} {Q : Type.{u6}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_6 : AddCommMonoid.{u5} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_8 : AddCommMonoid.{u6} Q] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_15 : Module.{u7, u5} R₂ N (CommSemiring.toSemiring.{u7} R₂ _inst_2) _inst_6] [_inst_16 : Module.{u3, u4} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7] [_inst_17 : Module.{u8, u6} R₄ Q (CommSemiring.toSemiring.{u8} R₄ _inst_4) _inst_8] {σ₂₃ : RingHom.{u7, u3} R₂ R₃ (Semiring.toNonAssocSemiring.{u7} R₂ (CommSemiring.toSemiring.{u7} R₂ _inst_2)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} {σ₁₃ : RingHom.{u1, u3} R R₃ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} {σ₄₂ : RingHom.{u8, u7} R₄ R₂ (Semiring.toNonAssocSemiring.{u8} R₄ (CommSemiring.toSemiring.{u8} R₄ _inst_4)) (Semiring.toNonAssocSemiring.{u7} R₂ (CommSemiring.toSemiring.{u7} R₂ _inst_2))} {σ₄₃ : RingHom.{u8, u3} R₄ R₃ (Semiring.toNonAssocSemiring.{u8} R₄ (CommSemiring.toSemiring.{u8} R₄ _inst_4)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} [_inst_24 : RingHomCompTriple.{u8, u7, u3} R₄ R₂ R₃ (CommSemiring.toSemiring.{u8} R₄ _inst_4) (CommSemiring.toSemiring.{u7} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₄₂ σ₂₃ σ₄₃] (f : LinearMap.{u1, u3, u2, max u4 u5} R R₃ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M (LinearMap.{u7, u3, u5, u4} R₂ R₃ (CommSemiring.toSemiring.{u7} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) _inst_5 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 Case conversion may be inaccurate. Consider using '#align linear_map.compl₂_apply LinearMap.compl₂_applyₓ'. -/
 @[simp]
 theorem compl₂_apply (g : Q →ₛₗ[σ₄₂] N) (m : M) (q : Q) : f.compl₂ g m q = f m (g q) :=
@@ -563,7 +563,7 @@ def compl₁₂ (f : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ) (g : Qₗ →ₗ[R] M
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {Mₗ : Type.{u2}} {Nₗ : Type.{u3}} {Pₗ : Type.{u4}} {Qₗ : Type.{u5}} {Qₗ' : Type.{u6}} [_inst_9 : AddCommMonoid.{u2} Mₗ] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_12 : AddCommMonoid.{u5} Qₗ] [_inst_13 : AddCommMonoid.{u6} Qₗ'] [_inst_18 : Module.{u1, u2} R Mₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_9] [_inst_19 : Module.{u1, u3} R Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10] [_inst_20 : Module.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11] [_inst_21 : Module.{u1, u5} R Qₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_12] [_inst_22 : Module.{u1, u6} R Qₗ' (CommSemiring.toSemiring.{u1} R _inst_1) _inst_13] (f : LinearMap.{u1, u1, u2, max u3 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Mₗ (LinearMap.{u1, u1, u3, u4} R R 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 but is expected to have type
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_inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_9 (LinearMap.addCommMonoid.{u6, u6, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)))) _inst_18 (LinearMap.instModuleLinearMapAddCommMonoid.{u6, u6, u6, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_20 (smulCommClass_self.{u6, u4} R Pₗ (CommSemiring.toCommMonoid.{u6} R _inst_1) (MulActionWithZero.toMulAction.{u6, u4} R Pₗ (Semiring.toMonoidWithZero.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u6, u4} R Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)))) f (FunLike.coe.{max (succ u5) (succ u2), succ u2, succ u5} (LinearMap.{u6, u6, u2, u5} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Qₗ Mₗ _inst_12 _inst_9 _inst_21 _inst_18) Qₗ (fun (_x : Qₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Qₗ) => Mₗ) _x) (LinearMap.instFunLikeLinearMap.{u6, u6, u2, u5} R R Qₗ Mₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_12 _inst_9 _inst_21 _inst_18 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)))) g x)) (FunLike.coe.{max (succ u3) (succ u1), succ u1, succ u3} (LinearMap.{u6, u6, u1, u3} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Qₗ' Nₗ _inst_13 _inst_10 _inst_22 _inst_19) Qₗ' (fun (_x : Qₗ') => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Qₗ') => Nₗ) _x) (LinearMap.instFunLikeLinearMap.{u6, u6, u1, u3} R R Qₗ' Nₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_13 _inst_10 _inst_22 _inst_19 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)))) g' y))
 Case conversion may be inaccurate. Consider using '#align linear_map.compl₁₂_apply LinearMap.compl₁₂_applyₓ'. -/
 @[simp]
 theorem compl₁₂_apply (f : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ) (g : Qₗ →ₗ[R] Mₗ) (g' : Qₗ' →ₗ[R] Nₗ) (x : Qₗ)
@@ -588,7 +588,7 @@ theorem compl₁₂_id_id (f : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ) : f.compl₁
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {Mₗ : Type.{u2}} {Nₗ : Type.{u3}} {Pₗ : Type.{u4}} {Qₗ : Type.{u5}} {Qₗ' : Type.{u6}} [_inst_9 : AddCommMonoid.{u2} Mₗ] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_12 : AddCommMonoid.{u5} Qₗ] [_inst_13 : AddCommMonoid.{u6} Qₗ'] [_inst_18 : Module.{u1, u2} R Mₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_9] [_inst_19 : Module.{u1, u3} R Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10] [_inst_20 : Module.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11] [_inst_21 : Module.{u1, u5} R Qₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_12] [_inst_22 : Module.{u1, u6} R Qₗ' (CommSemiring.toSemiring.{u1} R _inst_1) _inst_13] {f₁ : LinearMap.{u1, u1, u2, max u3 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Mₗ (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_9 (LinearMap.addCommMonoid.{u1, u1, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_18 (LinearMap.module.{u1, u1, u1, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (smulCommClass_self.{u1, u4} R Pₗ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u4} R Pₗ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (Module.toMulActionWithZero.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11 _inst_20))))} {f₂ : LinearMap.{u1, u1, u2, max u3 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Mₗ (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_9 (LinearMap.addCommMonoid.{u1, u1, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_18 (LinearMap.module.{u1, u1, u1, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (smulCommClass_self.{u1, u4} R Pₗ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u4} R Pₗ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (Module.toMulActionWithZero.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11 _inst_20))))} {g : LinearMap.{u1, u1, u5, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Qₗ Mₗ _inst_12 _inst_9 _inst_21 _inst_18} {g' : LinearMap.{u1, u1, u6, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Qₗ' Nₗ _inst_13 _inst_10 _inst_22 _inst_19}, (Function.Surjective.{succ u5, succ u2} Qₗ Mₗ (coeFn.{max (succ u5) (succ u2), max (succ u5) (succ u2)} (LinearMap.{u1, u1, u5, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Qₗ Mₗ _inst_12 _inst_9 _inst_21 _inst_18) (fun (_x : LinearMap.{u1, u1, u5, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Qₗ Mₗ _inst_12 _inst_9 _inst_21 _inst_18) => Qₗ -> Mₗ) (LinearMap.hasCoeToFun.{u1, u1, u5, u2} R R Qₗ Mₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_12 _inst_9 _inst_21 _inst_18 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) g)) -> (Function.Surjective.{succ u6, succ u3} Qₗ' Nₗ (coeFn.{max (succ u6) (succ u3), max (succ u6) (succ u3)} (LinearMap.{u1, u1, u6, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Qₗ' Nₗ _inst_13 _inst_10 _inst_22 _inst_19) (fun (_x : LinearMap.{u1, u1, u6, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Qₗ' Nₗ _inst_13 _inst_10 _inst_22 _inst_19) => Qₗ' -> Nₗ) (LinearMap.hasCoeToFun.{u1, u1, u6, u3} R R Qₗ' Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_13 _inst_10 _inst_22 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) g')) -> (Iff (Eq.{max (succ u5) (succ (max u6 u4))} (LinearMap.{u1, u1, u5, max u6 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Qₗ (LinearMap.{u1, u1, u6, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Qₗ' Pₗ _inst_13 _inst_11 _inst_22 _inst_20) _inst_12 (LinearMap.addCommMonoid.{u1, u1, u6, u4} R R Qₗ' Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_13 _inst_11 _inst_22 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_21 (LinearMap.module.{u1, u1, u1, u6, u4} R R R Qₗ' Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_13 _inst_11 _inst_22 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.compl₁₂._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20))) (LinearMap.compl₁₂.{u1, u2, u3, u4, u5, u6} R _inst_1 Mₗ Nₗ Pₗ Qₗ Qₗ' _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 _inst_18 _inst_19 _inst_20 _inst_21 _inst_22 f₁ g g') (LinearMap.compl₁₂.{u1, u2, u3, u4, u5, u6} R _inst_1 Mₗ Nₗ Pₗ Qₗ Qₗ' _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 _inst_18 _inst_19 _inst_20 _inst_21 _inst_22 f₂ g g')) (Eq.{max (succ u2) (succ (max u3 u4))} (LinearMap.{u1, u1, u2, max u3 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Mₗ (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_9 (LinearMap.addCommMonoid.{u1, u1, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_18 (LinearMap.module.{u1, u1, u1, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (smulCommClass_self.{u1, u4} R Pₗ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u4} R Pₗ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (Module.toMulActionWithZero.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11 _inst_20))))) f₁ f₂))
 but is expected to have type
-  forall {R : Type.{u6}} [_inst_1 : CommSemiring.{u6} R] {Mₗ : Type.{u5}} {Nₗ : Type.{u3}} {Pₗ : Type.{u4}} {Qₗ : Type.{u2}} {Qₗ' : Type.{u1}} [_inst_9 : AddCommMonoid.{u5} Mₗ] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_12 : AddCommMonoid.{u2} Qₗ] [_inst_13 : AddCommMonoid.{u1} Qₗ'] [_inst_18 : Module.{u6, u5} R Mₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_9] [_inst_19 : Module.{u6, u3} R Nₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10] [_inst_20 : Module.{u6, u4} R Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_11] [_inst_21 : Module.{u6, u2} R Qₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_12] [_inst_22 : Module.{u6, u1} R Qₗ' (CommSemiring.toSemiring.{u6} R _inst_1) _inst_13] {f₁ : LinearMap.{u6, u6, u5, max u4 u3} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Mₗ (LinearMap.{u6, u6, u3, u4} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_9 (LinearMap.addCommMonoid.{u6, u6, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)))) _inst_18 (LinearMap.instModuleLinearMapAddCommMonoid.{u6, u6, u6, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_20 (smulCommClass_self.{u6, u4} R Pₗ (CommSemiring.toCommMonoid.{u6} R _inst_1) (MulActionWithZero.toMulAction.{u6, u4} R Pₗ (Semiring.toMonoidWithZero.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u6, u4} R Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_11 _inst_20))))} {f₂ : LinearMap.{u6, u6, u5, max u4 u3} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Mₗ (LinearMap.{u6, u6, u3, u4} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_9 (LinearMap.addCommMonoid.{u6, u6, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)))) _inst_18 (LinearMap.instModuleLinearMapAddCommMonoid.{u6, u6, u6, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_20 (smulCommClass_self.{u6, u4} R Pₗ (CommSemiring.toCommMonoid.{u6} R _inst_1) (MulActionWithZero.toMulAction.{u6, u4} R Pₗ (Semiring.toMonoidWithZero.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u6, u4} R Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_11 _inst_20))))} {g : LinearMap.{u6, u6, u2, u5} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Qₗ Mₗ _inst_12 _inst_9 _inst_21 _inst_18} {g' : LinearMap.{u6, u6, u1, u3} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Qₗ' Nₗ _inst_13 _inst_10 _inst_22 _inst_19}, (Function.Surjective.{succ u2, succ u5} Qₗ Mₗ (FunLike.coe.{max (succ u5) (succ u2), succ u2, succ u5} (LinearMap.{u6, u6, u2, u5} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Qₗ Mₗ _inst_12 _inst_9 _inst_21 _inst_18) Qₗ (fun (_x : Qₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : Qₗ) => Mₗ) _x) (LinearMap.instFunLikeLinearMap.{u6, u6, u2, u5} R R Qₗ Mₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_12 _inst_9 _inst_21 _inst_18 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)))) g)) -> (Function.Surjective.{succ u1, succ u3} Qₗ' Nₗ (FunLike.coe.{max (succ u3) (succ u1), succ u1, succ u3} (LinearMap.{u6, u6, u1, u3} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Qₗ' Nₗ _inst_13 _inst_10 _inst_22 _inst_19) Qₗ' (fun (_x : Qₗ') => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : Qₗ') => Nₗ) _x) (LinearMap.instFunLikeLinearMap.{u6, u6, u1, u3} R R Qₗ' Nₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_13 _inst_10 _inst_22 _inst_19 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)))) g')) -> (Iff (Eq.{max (max (succ u4) (succ u2)) (succ u1)} (LinearMap.{u6, u6, u2, max u4 u1} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Qₗ (LinearMap.{u6, u6, u1, u4} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Qₗ' Pₗ _inst_13 _inst_11 _inst_22 _inst_20) _inst_12 (LinearMap.addCommMonoid.{u6, u6, u1, u4} R R Qₗ' Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_13 _inst_11 _inst_22 _inst_20 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)))) _inst_21 (LinearMap.instModuleLinearMapAddCommMonoid.{u6, u6, u6, u1, u4} R R R Qₗ' Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_13 _inst_11 _inst_22 _inst_20 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_20 (smulCommClass_self.{u6, u4} R Pₗ (CommSemiring.toCommMonoid.{u6} R _inst_1) (MulActionWithZero.toMulAction.{u6, u4} R Pₗ (Semiring.toMonoidWithZero.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u6, u4} R Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_11 _inst_20))))) (LinearMap.compl₁₂.{u6, u5, u3, u4, u2, u1} R _inst_1 Mₗ Nₗ Pₗ Qₗ Qₗ' _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 _inst_18 _inst_19 _inst_20 _inst_21 _inst_22 f₁ g g') (LinearMap.compl₁₂.{u6, u5, u3, u4, u2, u1} R _inst_1 Mₗ Nₗ Pₗ Qₗ Qₗ' _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 _inst_18 _inst_19 _inst_20 _inst_21 _inst_22 f₂ g g')) (Eq.{max (max (succ u5) (succ u3)) (succ u4)} (LinearMap.{u6, u6, u5, max u4 u3} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Mₗ (LinearMap.{u6, u6, u3, u4} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_9 (LinearMap.addCommMonoid.{u6, u6, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)))) _inst_18 (LinearMap.instModuleLinearMapAddCommMonoid.{u6, u6, u6, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_20 (smulCommClass_self.{u6, u4} R Pₗ (CommSemiring.toCommMonoid.{u6} R _inst_1) (MulActionWithZero.toMulAction.{u6, u4} R Pₗ (Semiring.toMonoidWithZero.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u6, u4} R Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_11 _inst_20))))) f₁ f₂))
+  forall {R : Type.{u6}} [_inst_1 : CommSemiring.{u6} R] {Mₗ : Type.{u5}} {Nₗ : Type.{u3}} {Pₗ : Type.{u4}} {Qₗ : Type.{u2}} {Qₗ' : Type.{u1}} [_inst_9 : AddCommMonoid.{u5} Mₗ] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_12 : AddCommMonoid.{u2} Qₗ] [_inst_13 : AddCommMonoid.{u1} Qₗ'] [_inst_18 : Module.{u6, u5} R Mₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_9] [_inst_19 : Module.{u6, u3} R Nₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10] [_inst_20 : Module.{u6, u4} R Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_11] [_inst_21 : Module.{u6, u2} R Qₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_12] [_inst_22 : Module.{u6, u1} R Qₗ' (CommSemiring.toSemiring.{u6} R _inst_1) _inst_13] {f₁ : LinearMap.{u6, u6, u5, max u4 u3} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Mₗ (LinearMap.{u6, u6, u3, u4} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_9 (LinearMap.addCommMonoid.{u6, u6, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)))) _inst_18 (LinearMap.instModuleLinearMapAddCommMonoid.{u6, u6, u6, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_20 (smulCommClass_self.{u6, u4} R Pₗ (CommSemiring.toCommMonoid.{u6} R _inst_1) (MulActionWithZero.toMulAction.{u6, u4} R Pₗ (Semiring.toMonoidWithZero.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u6, u4} R Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_11 _inst_20))))} {f₂ : LinearMap.{u6, u6, u5, max u4 u3} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Mₗ (LinearMap.{u6, u6, u3, u4} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_9 (LinearMap.addCommMonoid.{u6, u6, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)))) _inst_18 (LinearMap.instModuleLinearMapAddCommMonoid.{u6, u6, u6, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_20 (smulCommClass_self.{u6, u4} R Pₗ (CommSemiring.toCommMonoid.{u6} R _inst_1) (MulActionWithZero.toMulAction.{u6, u4} R Pₗ (Semiring.toMonoidWithZero.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u6, u4} R Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_11 _inst_20))))} {g : LinearMap.{u6, u6, u2, u5} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Qₗ Mₗ _inst_12 _inst_9 _inst_21 _inst_18} {g' : LinearMap.{u6, u6, u1, u3} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Qₗ' Nₗ _inst_13 _inst_10 _inst_22 _inst_19}, (Function.Surjective.{succ u2, succ u5} Qₗ Mₗ (FunLike.coe.{max (succ u5) (succ u2), succ u2, succ u5} (LinearMap.{u6, u6, u2, u5} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Qₗ Mₗ _inst_12 _inst_9 _inst_21 _inst_18) Qₗ (fun (_x : Qₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Qₗ) => Mₗ) _x) (LinearMap.instFunLikeLinearMap.{u6, u6, u2, u5} R R Qₗ Mₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_12 _inst_9 _inst_21 _inst_18 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)))) g)) -> 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_inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u6, u4} R Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_11 _inst_20))))) f₁ f₂))
 Case conversion may be inaccurate. Consider using '#align linear_map.compl₁₂_inj LinearMap.compl₁₂_injₓ'. -/
 theorem compl₁₂_inj {f₁ f₂ : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ} {g : Qₗ →ₗ[R] Mₗ} {g' : Qₗ' →ₗ[R] Nₗ}
     (hₗ : Function.Surjective g) (hᵣ : Function.Surjective g') :
@@ -618,7 +618,7 @@ def compr₂ (f : M →ₗ[R] Nₗ →ₗ[R] Pₗ) (g : Pₗ →ₗ[R] Qₗ) : M
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {M : Type.{u2}} {Nₗ : Type.{u3}} {Pₗ : Type.{u4}} {Qₗ : Type.{u5}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_12 : AddCommMonoid.{u5} Qₗ] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_19 : Module.{u1, u3} R Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10] [_inst_20 : Module.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11] [_inst_21 : Module.{u1, u5} R Qₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_12] (f : LinearMap.{u1, u1, u2, max u3 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_5 (LinearMap.addCommMonoid.{u1, u1, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_14 (LinearMap.module.{u1, u1, u1, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (smulCommClass_self.{u1, u4} R Pₗ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u4} R Pₗ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) 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(LinearMap.addCommMonoid.{u1, u1, u3, u5} R R Nₗ Qₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_14 (LinearMap.module.{u1, u1, u1, u3, u5} R R R Nₗ Qₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_21 (LinearMap.compr₂._proof_2.{u1, u5} R _inst_1 Qₗ _inst_12 _inst_21))) => M -> (LinearMap.{u1, u1, u3, u5} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Qₗ _inst_10 _inst_12 _inst_19 _inst_21)) (LinearMap.hasCoeToFun.{u1, u1, u2, max u3 u5} R R M (LinearMap.{u1, 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_inst_10 _inst_11 _inst_19 _inst_20) _inst_5 (LinearMap.addCommMonoid.{u1, u1, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_14 (LinearMap.module.{u1, u1, u1, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (smulCommClass_self.{u1, u4} R Pₗ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u4} R Pₗ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (Module.toMulActionWithZero.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11 _inst_20))))) => M -> (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20)) (LinearMap.hasCoeToFun.{u1, u1, u2, max u3 u4} R R M (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 (LinearMap.addCommMonoid.{u1, u1, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_14 (LinearMap.module.{u1, u1, u1, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (smulCommClass_self.{u1, u4} R Pₗ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u4} R Pₗ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (Module.toMulActionWithZero.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f m) n))
 but is expected to have type
-  forall {R : Type.{u5}} [_inst_1 : CommSemiring.{u5} R] {M : Type.{u4}} {Nₗ : Type.{u2}} {Pₗ : Type.{u3}} {Qₗ : Type.{u1}} [_inst_5 : AddCommMonoid.{u4} M] [_inst_10 : AddCommMonoid.{u2} Nₗ] [_inst_11 : AddCommMonoid.{u3} Pₗ] [_inst_12 : AddCommMonoid.{u1} Qₗ] [_inst_14 : Module.{u5, u4} R M (CommSemiring.toSemiring.{u5} R _inst_1) _inst_5] [_inst_19 : Module.{u5, u2} R Nₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10] [_inst_20 : Module.{u5, u3} R Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_11] [_inst_21 : Module.{u5, u1} R Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_12] (f : LinearMap.{u5, u5, u4, max u3 u2} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) M (LinearMap.{u5, u5, u2, u3} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_5 (LinearMap.addCommMonoid.{u5, u5, u2, u3} R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u5, u5, u5, u2, u3} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_20 (smulCommClass_self.{u5, u3} R Pₗ (CommSemiring.toCommMonoid.{u5} R _inst_1) (MulActionWithZero.toMulAction.{u5, u3} R Pₗ (Semiring.toMonoidWithZero.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)) (AddMonoid.toZero.{u3} Pₗ (AddCommMonoid.toAddMonoid.{u3} Pₗ _inst_11)) (Module.toMulActionWithZero.{u5, u3} R Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_11 _inst_20))))) (g : LinearMap.{u5, u5, u3, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Pₗ Qₗ _inst_11 _inst_12 _inst_20 _inst_21) (m : M) (n : Nₗ), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : Nₗ) => Qₗ) n) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u5, u5, u2, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Qₗ _inst_10 _inst_12 _inst_19 _inst_21) m) Nₗ (fun (_x : Nₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : Nₗ) => Qₗ) _x) (LinearMap.instFunLikeLinearMap.{u5, u5, u2, u1} R R Nₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u1), succ u4, max (succ u2) (succ u1)} (LinearMap.{u5, u5, u4, max u1 u2} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) M (LinearMap.{u5, u5, u2, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Qₗ _inst_10 _inst_12 _inst_19 _inst_21) _inst_5 (LinearMap.addCommMonoid.{u5, u5, u2, u1} R R Nₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u5, u5, u5, u2, u1} R R R Nₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_21 (smulCommClass_self.{u5, u1} R Qₗ (CommSemiring.toCommMonoid.{u5} R _inst_1) (MulActionWithZero.toMulAction.{u5, u1} R Qₗ (Semiring.toMonoidWithZero.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)) (AddMonoid.toZero.{u1} Qₗ (AddCommMonoid.toAddMonoid.{u1} Qₗ _inst_12)) (Module.toMulActionWithZero.{u5, u1} R Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_12 _inst_21))))) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u5, u5, u2, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Qₗ _inst_10 _inst_12 _inst_19 _inst_21) _x) (LinearMap.instFunLikeLinearMap.{u5, u5, u4, max u2 u1} R R M (LinearMap.{u5, u5, u2, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Qₗ _inst_10 _inst_12 _inst_19 _inst_21) (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_5 (LinearMap.addCommMonoid.{u5, u5, u2, u1} R R Nₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u5, u5, u5, u2, u1} R R R Nₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_21 (smulCommClass_self.{u5, u1} R Qₗ (CommSemiring.toCommMonoid.{u5} R _inst_1) (MulActionWithZero.toMulAction.{u5, u1} R Qₗ (Semiring.toMonoidWithZero.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)) (AddMonoid.toZero.{u1} Qₗ (AddCommMonoid.toAddMonoid.{u1} Qₗ _inst_12)) (Module.toMulActionWithZero.{u5, u1} R Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_12 _inst_21)))) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) (LinearMap.compr₂.{u5, u4, u2, u3, u1} R _inst_1 M Nₗ Pₗ Qₗ _inst_5 _inst_10 _inst_11 _inst_12 _inst_14 _inst_19 _inst_20 _inst_21 f g) m) n) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (LinearMap.{u5, u5, u3, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Pₗ Qₗ _inst_11 _inst_12 _inst_20 _inst_21) Pₗ (fun (_x : Pₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : Pₗ) => Qₗ) _x) (LinearMap.instFunLikeLinearMap.{u5, u5, u3, u1} R R Pₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_11 _inst_12 _inst_20 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) g (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u5, u5, u2, u3} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) m) Nₗ (fun (_x : Nₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : Nₗ) => Pₗ) _x) (LinearMap.instFunLikeLinearMap.{u5, u5, u2, u3} R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), succ u4, max (succ u2) (succ u3)} (LinearMap.{u5, u5, u4, max u3 u2} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) M (LinearMap.{u5, u5, u2, u3} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_5 (LinearMap.addCommMonoid.{u5, u5, u2, u3} R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u5, u5, u5, u2, u3} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_20 (smulCommClass_self.{u5, u3} R Pₗ (CommSemiring.toCommMonoid.{u5} R _inst_1) (MulActionWithZero.toMulAction.{u5, u3} R Pₗ (Semiring.toMonoidWithZero.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)) (AddMonoid.toZero.{u3} Pₗ (AddCommMonoid.toAddMonoid.{u3} Pₗ _inst_11)) (Module.toMulActionWithZero.{u5, u3} R Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_11 _inst_20))))) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u5, u5, u2, u3} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _x) (LinearMap.instFunLikeLinearMap.{u5, u5, u4, max u2 u3} R R M (LinearMap.{u5, u5, u2, u3} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_5 (LinearMap.addCommMonoid.{u5, u5, u2, u3} R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u5, u5, u5, u2, u3} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_20 (smulCommClass_self.{u5, u3} R Pₗ (CommSemiring.toCommMonoid.{u5} R _inst_1) (MulActionWithZero.toMulAction.{u5, u3} R Pₗ (Semiring.toMonoidWithZero.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)) (AddMonoid.toZero.{u3} Pₗ (AddCommMonoid.toAddMonoid.{u3} Pₗ _inst_11)) (Module.toMulActionWithZero.{u5, u3} R Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) f m) n))
+  forall {R : Type.{u5}} [_inst_1 : CommSemiring.{u5} R] {M : Type.{u4}} {Nₗ : Type.{u2}} {Pₗ : Type.{u3}} {Qₗ : Type.{u1}} [_inst_5 : AddCommMonoid.{u4} M] [_inst_10 : AddCommMonoid.{u2} Nₗ] [_inst_11 : AddCommMonoid.{u3} Pₗ] [_inst_12 : AddCommMonoid.{u1} Qₗ] [_inst_14 : Module.{u5, u4} R M (CommSemiring.toSemiring.{u5} R _inst_1) _inst_5] [_inst_19 : Module.{u5, u2} R Nₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10] [_inst_20 : Module.{u5, u3} R Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_11] [_inst_21 : Module.{u5, u1} R Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_12] (f : LinearMap.{u5, u5, u4, max u3 u2} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) M (LinearMap.{u5, u5, u2, u3} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_5 (LinearMap.addCommMonoid.{u5, u5, u2, u3} R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u5, u5, u5, u2, u3} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_20 (smulCommClass_self.{u5, u3} R Pₗ (CommSemiring.toCommMonoid.{u5} R _inst_1) (MulActionWithZero.toMulAction.{u5, u3} R Pₗ (Semiring.toMonoidWithZero.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)) (AddMonoid.toZero.{u3} Pₗ (AddCommMonoid.toAddMonoid.{u3} Pₗ _inst_11)) (Module.toMulActionWithZero.{u5, u3} R Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_11 _inst_20))))) (g : LinearMap.{u5, u5, u3, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Pₗ Qₗ _inst_11 _inst_12 _inst_20 _inst_21) (m : M) (n : Nₗ), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Nₗ) => Qₗ) n) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => LinearMap.{u5, u5, u2, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Qₗ _inst_10 _inst_12 _inst_19 _inst_21) m) Nₗ (fun (_x : Nₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Nₗ) => Qₗ) _x) (LinearMap.instFunLikeLinearMap.{u5, u5, u2, u1} R R Nₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u1), succ u4, max (succ u2) (succ u1)} (LinearMap.{u5, u5, u4, max u1 u2} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) M (LinearMap.{u5, u5, u2, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Qₗ _inst_10 _inst_12 _inst_19 _inst_21) _inst_5 (LinearMap.addCommMonoid.{u5, u5, u2, u1} R R Nₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u5, u5, u5, u2, u1} R R R Nₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_21 (smulCommClass_self.{u5, u1} R Qₗ (CommSemiring.toCommMonoid.{u5} R _inst_1) (MulActionWithZero.toMulAction.{u5, u1} R Qₗ (Semiring.toMonoidWithZero.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)) (AddMonoid.toZero.{u1} Qₗ (AddCommMonoid.toAddMonoid.{u1} Qₗ _inst_12)) (Module.toMulActionWithZero.{u5, u1} R Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_12 _inst_21))))) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => LinearMap.{u5, u5, u2, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Qₗ _inst_10 _inst_12 _inst_19 _inst_21) _x) (LinearMap.instFunLikeLinearMap.{u5, u5, u4, max u2 u1} R R M (LinearMap.{u5, u5, u2, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Qₗ _inst_10 _inst_12 _inst_19 _inst_21) (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_5 (LinearMap.addCommMonoid.{u5, u5, u2, u1} R R Nₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u5, u5, u5, u2, u1} R R R Nₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_21 (smulCommClass_self.{u5, u1} R Qₗ (CommSemiring.toCommMonoid.{u5} R _inst_1) (MulActionWithZero.toMulAction.{u5, u1} R Qₗ (Semiring.toMonoidWithZero.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)) (AddMonoid.toZero.{u1} Qₗ (AddCommMonoid.toAddMonoid.{u1} Qₗ _inst_12)) (Module.toMulActionWithZero.{u5, u1} R Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_12 _inst_21)))) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) (LinearMap.compr₂.{u5, u4, u2, u3, u1} R _inst_1 M Nₗ Pₗ Qₗ _inst_5 _inst_10 _inst_11 _inst_12 _inst_14 _inst_19 _inst_20 _inst_21 f g) m) n) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (LinearMap.{u5, u5, u3, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Pₗ Qₗ _inst_11 _inst_12 _inst_20 _inst_21) Pₗ (fun (_x : Pₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Pₗ) => Qₗ) _x) (LinearMap.instFunLikeLinearMap.{u5, u5, u3, u1} R R Pₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_11 _inst_12 _inst_20 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) g (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => LinearMap.{u5, u5, u2, u3} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) m) Nₗ (fun (_x : Nₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Nₗ) => Pₗ) _x) (LinearMap.instFunLikeLinearMap.{u5, u5, u2, u3} R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), succ u4, max (succ u2) (succ u3)} (LinearMap.{u5, u5, u4, max u3 u2} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) M (LinearMap.{u5, u5, u2, u3} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_5 (LinearMap.addCommMonoid.{u5, u5, u2, u3} R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u5, u5, u5, u2, u3} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_20 (smulCommClass_self.{u5, u3} R Pₗ (CommSemiring.toCommMonoid.{u5} R _inst_1) (MulActionWithZero.toMulAction.{u5, u3} R Pₗ (Semiring.toMonoidWithZero.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)) (AddMonoid.toZero.{u3} Pₗ (AddCommMonoid.toAddMonoid.{u3} Pₗ _inst_11)) (Module.toMulActionWithZero.{u5, u3} R Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_11 _inst_20))))) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => LinearMap.{u5, u5, u2, u3} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _x) (LinearMap.instFunLikeLinearMap.{u5, u5, u4, max u2 u3} R R M (LinearMap.{u5, u5, u2, u3} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_5 (LinearMap.addCommMonoid.{u5, u5, u2, u3} R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u5, u5, u5, u2, u3} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_20 (smulCommClass_self.{u5, u3} R Pₗ (CommSemiring.toCommMonoid.{u5} R _inst_1) (MulActionWithZero.toMulAction.{u5, u3} R Pₗ (Semiring.toMonoidWithZero.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)) (AddMonoid.toZero.{u3} Pₗ (AddCommMonoid.toAddMonoid.{u3} Pₗ _inst_11)) (Module.toMulActionWithZero.{u5, u3} R Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) f m) n))
 Case conversion may be inaccurate. Consider using '#align linear_map.compr₂_apply LinearMap.compr₂_applyₓ'. -/
 @[simp]
 theorem compr₂_apply (f : M →ₗ[R] Nₗ →ₗ[R] Pₗ) (g : Pₗ →ₗ[R] Qₗ) (m : M) (n : Nₗ) :
@@ -642,7 +642,7 @@ variable {R M}
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {M : Type.{u2}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] (r : R) (m : M), Eq.{succ u2} M (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (LinearMap.module.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_14 (LinearMap.lsmul._proof_1.{u1, u2} R _inst_1 M _inst_5 _inst_14))) (fun (_x : LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (LinearMap.module.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_14 (LinearMap.lsmul._proof_1.{u1, u2} R _inst_1 M _inst_5 _inst_14))) => R -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14)) (LinearMap.hasCoeToFun.{u1, u1, u1, u2} R R R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (LinearMap.module.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_14 (LinearMap.lsmul._proof_1.{u1, u2} R _inst_1 M _inst_5 _inst_14)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.lsmul.{u1, u2} R _inst_1 M _inst_5 _inst_14) r) m) (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_5))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5))) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_14)))) r m)
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {M : Type.{u2}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] (r : R) (m : M), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) m) (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) r) 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 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_14 (smulCommClass_self.{u1, u2} R M (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_14))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u2} R R R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_14 (smulCommClass_self.{u1, u2} R M (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_14)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.lsmul.{u1, u2} R _inst_1 M _inst_5 _inst_14) r) m) (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_14))))) r m)
+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {M : Type.{u2}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] (r : R) (m : M), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M) => M) m) (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) r) 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 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_14 (smulCommClass_self.{u1, u2} R M (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_14))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u2} R R R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_14 (smulCommClass_self.{u1, u2} R M (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_14)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.lsmul.{u1, u2} R _inst_1 M _inst_5 _inst_14) r) m) (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_14))))) r m)
 Case conversion may be inaccurate. Consider using '#align linear_map.lsmul_apply LinearMap.lsmul_applyₓ'. -/
 @[simp]
 theorem lsmul_apply (r : R) (m : M) : lsmul R M r m = r • m :=
@@ -669,7 +669,7 @@ variable [Module R M] [Module S N] [Module R₂ P] [Module S₂ P]
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_5 : AddCommGroup.{u2} M] [_inst_8 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)] [_inst_12 : NoZeroSMulDivisors.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_5))))) (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8))))] {x : R}, (Ne.{succ u1} R x (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))))))))) -> (Function.Injective.{succ u2, succ u2} M M (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (LinearMap.module.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_8 (LinearMap.lsmul._proof_1.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8))) (fun (_x : LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (LinearMap.module.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_8 (LinearMap.lsmul._proof_1.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8))) => R -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8)) (LinearMap.hasCoeToFun.{u1, u1, u1, u2} R R R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (LinearMap.module.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_8 (LinearMap.lsmul._proof_1.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.lsmul.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8) x)))
 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommRing.{u2} R] [_inst_5 : AddCommGroup.{u1} M] [_inst_8 : Module.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5)] [_inst_12 : NoZeroSMulDivisors.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))] {x : R}, (Ne.{succ u2} R x (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))))) -> (Function.Injective.{succ u1, succ u1} M M (FunLike.coe.{succ u1, succ u1, succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) x) 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 (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u2, u2, u2, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.addCommMonoid.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, u1} R R R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.addCommMonoid.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.lsmul.{u2, u1} R (CommRing.toCommSemiring.{u2} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) x)))
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommRing.{u2} R] [_inst_5 : AddCommGroup.{u1} M] [_inst_8 : Module.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5)] [_inst_12 : NoZeroSMulDivisors.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))] {x : R}, (Ne.{succ u2} R x (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))))) -> (Function.Injective.{succ u1, succ u1} M M (FunLike.coe.{succ u1, succ u1, succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) x) 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 (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u2, u2, u2, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.addCommMonoid.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, u1} R R R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.addCommMonoid.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.lsmul.{u2, u1} R (CommRing.toCommSemiring.{u2} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) x)))
 Case conversion may be inaccurate. Consider using '#align linear_map.lsmul_injective LinearMap.lsmul_injectiveₓ'. -/
 theorem lsmul_injective [NoZeroSMulDivisors R M] {x : R} (hx : x ≠ 0) :
     Function.Injective (lsmul R M x) :=
@@ -680,7 +680,7 @@ theorem lsmul_injective [NoZeroSMulDivisors R M] {x : R} (hx : x ≠ 0) :
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_5 : AddCommGroup.{u2} M] [_inst_8 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)] [_inst_12 : NoZeroSMulDivisors.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_5))))) (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8))))] {a : R}, (Ne.{succ u1} R a (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))))))))) -> (Eq.{succ u2} (Submodule.{u1, u2} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8) (LinearMap.ker.{u1, u1, u2, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) (LinearMap.semilinearMapClass.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (LinearMap.module.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_8 (LinearMap.lsmul._proof_1.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8))) (fun (_x : LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (LinearMap.module.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_8 (LinearMap.lsmul._proof_1.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8))) => R -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8)) (LinearMap.hasCoeToFun.{u1, u1, u1, u2} R R R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (LinearMap.module.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_8 (LinearMap.lsmul._proof_1.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.lsmul.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8) a)) (Bot.bot.{u2} (Submodule.{u1, u2} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8) (Submodule.hasBot.{u1, u2} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8)))
 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommRing.{u2} R] [_inst_5 : AddCommGroup.{u1} M] [_inst_8 : Module.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5)] [_inst_12 : NoZeroSMulDivisors.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))] {a : R}, (Ne.{succ u2} R a (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))))) -> (Eq.{succ u1} (Submodule.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) (LinearMap.ker.{u2, u2, u1, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) a) (LinearMap.semilinearMapClass.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u2, u2, u2, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.addCommMonoid.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, u1} R R R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.addCommMonoid.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.lsmul.{u2, u1} R (CommRing.toCommSemiring.{u2} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) a)) (Bot.bot.{u1} (Submodule.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) (Submodule.instBotSubmodule.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8)))
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommRing.{u2} R] [_inst_5 : AddCommGroup.{u1} M] [_inst_8 : Module.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5)] [_inst_12 : NoZeroSMulDivisors.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))] {a : R}, (Ne.{succ u2} R a (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))))) -> (Eq.{succ u1} (Submodule.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) (LinearMap.ker.{u2, u2, u1, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) a) (LinearMap.semilinearMapClass.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u2, u2, u2, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.addCommMonoid.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : R) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, u1} R R R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.addCommMonoid.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.lsmul.{u2, u1} R (CommRing.toCommSemiring.{u2} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) a)) (Bot.bot.{u1} (Submodule.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) (Submodule.instBotSubmodule.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8)))
 Case conversion may be inaccurate. Consider using '#align linear_map.ker_lsmul LinearMap.ker_lsmulₓ'. -/
 theorem ker_lsmul [NoZeroSMulDivisors R M] {a : R} (ha : a ≠ 0) : (LinearMap.lsmul R M a).ker = ⊥ :=
   LinearMap.ker_eq_bot_of_injective (LinearMap.lsmul_injective ha)

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

@@ -82,7 +82,7 @@ variable (ρ₁₂ σ₁₂)
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] (ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) (σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) (f : M -> N -> P), (forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u7} P (f (HAdd.hAdd.{u5, u5, u5} M M M (instHAdd.{u5} M (AddZeroClass.toHasAdd.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u7, u7, u7} P P P (instHAdd.{u7} P (AddZeroClass.toHasAdd.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)))) (f m₁ n) (f m₂ n))) -> (forall (c : R) (m : M) (n : N), Eq.{succ u7} P (f (SMul.smul.{u1, u5} R M (SMulZeroClass.toHasSmul.{u1, u5} R M (AddZeroClass.toHasZero.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))) (SMulWithZero.toSmulZeroClass.{u1, u5} R M 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_inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) => S -> S₂) (RingHom.hasCoeToFun.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) σ₁₂ c) (f m n))) -> (LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30))
 but is expected to have type
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(AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u3, u7} R₂ P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u3, u7} R₂ P (MonoidWithZero.toZero.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] (ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) (σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) (f : M -> N -> P), (forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u7} P (f (HAdd.hAdd.{u5, u5, u5} M M M (instHAdd.{u5} 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(SMulWithZero.toSMulZeroClass.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) P (MonoidWithZero.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) (Semiring.toMonoidWithZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) _inst_4)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) P (Semiring.toMonoidWithZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) _inst_4) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) P _inst_4 _inst_7 _inst_19))))) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) S (fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) _x) (MulHomClass.toFunLike.{max u2 u4, u2, u4} (RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) S S₂ (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) (NonUnitalNonAssocSemiring.toMul.{u4} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u4, u2, u4} (RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) S S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u4, u2, u4} (RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4) (RingHom.instRingHomClassRingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4))))) σ₁₂ c) (f m n))) -> (LinearMap.{u1, u3, u5, max u7 u6} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30))
+  forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toSMul.{u4, u7} S₂ P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u4, u7} S₂ P (MonoidWithZero.toZero.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u3, u7} R₂ P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u3, u7} R₂ P (MonoidWithZero.toZero.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] (ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) (σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) (f : M -> N -> P), (forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u7} P (f (HAdd.hAdd.{u5, u5, u5} M M M (instHAdd.{u5} M (AddZeroClass.toAdd.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u7, u7, u7} P P P (instHAdd.{u7} P (AddZeroClass.toAdd.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)))) (f m₁ n) (f m₂ n))) -> (forall (c : R) (m : M) (n : N), Eq.{succ u7} P (f (HSMul.hSMul.{u1, u5, u5} R M M (instHSMul.{u1, u5} R M (SMulZeroClass.toSMul.{u1, u5} R M (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u5} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u5} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)) (Module.toMulActionWithZero.{u1, u5} R M _inst_1 _inst_5 _inst_16))))) c m) n) (HSMul.hSMul.{u3, u7, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) P P (instHSMul.{u3, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) P (SMulZeroClass.toSMul.{u3, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u3, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) P (MonoidWithZero.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) (Semiring.toMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) _inst_3)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u3, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) P (Semiring.toMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) _inst_3) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u3, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) c) P _inst_3 _inst_7 _inst_18))))) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) _x) (MulHomClass.toFunLike.{max u1 u3, u1, u3} (RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) R R₂ (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u3} R₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R₂ (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u1, u3} (RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) R R₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R₂ (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u1, u3} (RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3) (RingHom.instRingHomClassRingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3))))) ρ₁₂ c) (f m n))) -> (forall (m : M) (n₁ : N) (n₂ : N), Eq.{succ u7} P (f m (HAdd.hAdd.{u6, u6, u6} N N N (instHAdd.{u6} N (AddZeroClass.toAdd.{u6} N (AddMonoid.toAddZeroClass.{u6} N (AddCommMonoid.toAddMonoid.{u6} N _inst_6)))) n₁ n₂)) (HAdd.hAdd.{u7, u7, u7} P P P (instHAdd.{u7} P (AddZeroClass.toAdd.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)))) (f m n₁) (f m n₂))) -> (forall (c : S) (m : M) (n : N), Eq.{succ u7} P (f m (HSMul.hSMul.{u2, u6, u6} S N N (instHSMul.{u2, u6} S N (SMulZeroClass.toSMul.{u2, u6} S N (AddMonoid.toZero.{u6} N (AddCommMonoid.toAddMonoid.{u6} N _inst_6)) (SMulWithZero.toSMulZeroClass.{u2, u6} S N (MonoidWithZero.toZero.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)) (AddMonoid.toZero.{u6} N (AddCommMonoid.toAddMonoid.{u6} N _inst_6)) (MulActionWithZero.toSMulWithZero.{u2, u6} S N (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddMonoid.toZero.{u6} N (AddCommMonoid.toAddMonoid.{u6} N _inst_6)) (Module.toMulActionWithZero.{u2, u6} S N _inst_2 _inst_6 _inst_17))))) c n)) (HSMul.hSMul.{u4, u7, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) P P (instHSMul.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) P (SMulZeroClass.toSMul.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) P (MonoidWithZero.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) (Semiring.toMonoidWithZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) _inst_4)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) P (Semiring.toMonoidWithZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) _inst_4) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) c) P _inst_4 _inst_7 _inst_19))))) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) S (fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) _x) (MulHomClass.toFunLike.{max u2 u4, u2, u4} (RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) S S₂ (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) (NonUnitalNonAssocSemiring.toMul.{u4} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u4, u2, u4} (RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) S S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u4, u2, u4} (RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4) (RingHom.instRingHomClassRingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4))))) σ₁₂ c) (f m n))) -> (LinearMap.{u1, u3, u5, max u7 u6} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30))
 Case conversion may be inaccurate. Consider using '#align linear_map.mk₂'ₛₗ LinearMap.mk₂'ₛₗₓ'. -/
 /-- Create a bilinear map from a function that is semilinear in each component.
 See `mk₂'` and `mk₂` for the linear case. -/
@@ -105,7 +105,7 @@ variable {ρ₁₂ σ₁₂}
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} (f : M -> N -> P) {H1 : forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u7} P (f (HAdd.hAdd.{u5, u5, u5} M M M (instHAdd.{u5} M (AddZeroClass.toHasAdd.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u7, u7, u7} P P P (instHAdd.{u7} P (AddZeroClass.toHasAdd.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)))) (f m₁ n) (f m₂ n))} {H2 : forall (c : R) (m : M) (n : N), Eq.{succ u7} P (f (SMul.smul.{u1, u5} R M (SMulZeroClass.toHasSmul.{u1, u5} R M (AddZeroClass.toHasZero.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))) (SMulWithZero.toSmulZeroClass.{u1, u5} R 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 but is expected to have type
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_inst_18 _inst_30) ρ₁₂) (LinearMap.mk₂'ₛₗ.{u5, u2, u4, u1, u6, u3, u7} R _inst_1 S _inst_2 R₂ _inst_3 S₂ _inst_4 M N P _inst_5 _inst_6 _inst_7 _inst_16 _inst_17 _inst_18 _inst_19 _inst_30 ρ₁₂ σ₁₂ f H1 H2 H3 H4) m) n) (f m n)
+  forall {R : Type.{u5}} [_inst_1 : Semiring.{u5} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u4}} [_inst_3 : Semiring.{u4} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u6}} {N : Type.{u3}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u6} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u5, u6} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u4, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u4, u7} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u7} S₂ P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u7} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u7} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u1, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u4, u7} R₂ P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u4, u7} R₂ P (MonoidWithZero.toZero.{u4} R₂ (Semiring.toMonoidWithZero.{u4} R₂ _inst_3)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u4, u7} R₂ P (Semiring.toMonoidWithZero.{u4} R₂ _inst_3) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u4, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : M -> N -> P) {H1 : forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u7} P (f (HAdd.hAdd.{u6, u6, u6} M M M 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(fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : S) => S₂) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) S S₂ (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) (NonUnitalNonAssocSemiring.toMul.{u1} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S₂ (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) S S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S₂ (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4) (RingHom.instRingHomClassRingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4))))) σ₁₂ c) (f m n))} (m : M) (n : N), Eq.{succ u7} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) n) (FunLike.coe.{max (succ u3) (succ u7), succ u3, succ u7} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) m) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u6) (succ u3)) (succ u7), succ u6, max (succ u3) (succ u7)} (LinearMap.{u5, u4, u6, max u7 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u4, u3, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u5, u4, u6, max u3 u7} R R₂ M (LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u4, u3, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) (LinearMap.mk₂'ₛₗ.{u5, u2, u4, u1, u6, u3, u7} R _inst_1 S _inst_2 R₂ _inst_3 S₂ _inst_4 M N P _inst_5 _inst_6 _inst_7 _inst_16 _inst_17 _inst_18 _inst_19 _inst_30 ρ₁₂ σ₁₂ f H1 H2 H3 H4) m) n) (f m n)
 Case conversion may be inaccurate. Consider using '#align linear_map.mk₂'ₛₗ_apply LinearMap.mk₂'ₛₗ_applyₓ'. -/
 @[simp]
 theorem mk₂'ₛₗ_apply (f : M → N → P) {H1 H2 H3 H4} (m : M) (n : N) :
@@ -270,7 +270,7 @@ theorem map_smul₂ (f : M₂ →ₗ[R] N₂ →ₛₗ[σ₁₂] P₂) (r : R) (
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} (f : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (r : R) (x : M) (y : N), Eq.{succ u7} P (coeFn.{max (succ u6) (succ u7), max (succ u6) (succ u7)} (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (fun (_x : LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) => N -> P) (LinearMap.hasCoeToFun.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (coeFn.{max (succ u5) (succ (max u6 u7)), max (succ u5) (succ (max u6 u7))} (LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (fun (_x : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) => M -> (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19)) (LinearMap.hasCoeToFun.{u1, u3, u5, max u6 u7} R R₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f (SMul.smul.{u1, u5} R M (SMulZeroClass.toHasSmul.{u1, u5} R M (AddZeroClass.toHasZero.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))) (SMulWithZero.toSmulZeroClass.{u1, u5} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))) (MulActionWithZero.toSMulWithZero.{u1, u5} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))) (Module.toMulActionWithZero.{u1, u5} R M _inst_1 _inst_5 _inst_16)))) r x)) y) (SMul.smul.{u3, u7} R₂ P (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18)))) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) (fun (_x : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) => R -> R₂) (RingHom.hasCoeToFun.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) ρ₁₂ r) (coeFn.{max (succ u6) (succ u7), max (succ u6) (succ u7)} (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (fun (_x : LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) => N -> P) (LinearMap.hasCoeToFun.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (coeFn.{max (succ u5) (succ (max u6 u7)), max (succ u5) (succ (max u6 u7))} (LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (fun (_x : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) => M -> (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19)) (LinearMap.hasCoeToFun.{u1, u3, u5, max u6 u7} R R₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f x) y))
 but is expected to have type
-  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (r : R) (x : M) (y : N), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (HSMul.hSMul.{u7, u5, u5} R M M (instHSMul.{u7, u5} R M (SMulZeroClass.toSMul.{u7, u5} R M (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)) (SMulWithZero.toSMulZeroClass.{u7, u5} R M (MonoidWithZero.toZero.{u7} R (Semiring.toMonoidWithZero.{u7} R _inst_1)) (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)) 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+  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P 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(x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f (HSMul.hSMul.{u7, u5, u5} R M M (instHSMul.{u7, u5} R M (SMulZeroClass.toSMul.{u7, u5} R M (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)) (SMulWithZero.toSMulZeroClass.{u7, u5} R M (MonoidWithZero.toZero.{u7} R (Semiring.toMonoidWithZero.{u7} R _inst_1)) (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)) (MulActionWithZero.toSMulWithZero.{u7, u5} 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(x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) r) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) y) (MonoidWithZero.toZero.{u6} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) r) (Semiring.toMonoidWithZero.{u6} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) r) _inst_3)) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) y) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) y) _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) r) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) y) (Semiring.toMonoidWithZero.{u6} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) r) _inst_3) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) y) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) y) _inst_7)) (Module.toMulActionWithZero.{u6, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) r) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) y) _inst_3 _inst_7 _inst_18))))) (FunLike.coe.{max (succ u7) (succ u6), succ u7, succ u6} (RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => R₂) _x) (MulHomClass.toFunLike.{max u7 u6, u7, u6} (RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)) R R₂ (NonUnitalNonAssocSemiring.toMul.{u7} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u7} R (Semiring.toNonAssocSemiring.{u7} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u6} R₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u6} R₂ (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u7 u6, u7, u6} (RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)) R R₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u7} R (Semiring.toNonAssocSemiring.{u7} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u6} R₂ (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u7 u6, u7, u6} (RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)) R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3) (RingHom.instRingHomClassRingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3))))) ρ₁₂ r) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) x) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f x) y))
 Case conversion may be inaccurate. Consider using '#align linear_map.map_smulₛₗ₂ LinearMap.map_smulₛₗ₂ₓ'. -/
 theorem map_smulₛₗ₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (r : R) (x y) : f (r • x) y = ρ₁₂ r • f x y :=
   (flip f y).map_smulₛₗ _ _

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

@@ -105,7 +105,7 @@ variable {ρ₁₂ σ₁₂}
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} (f : M -> N -> P) {H1 : forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u7} P (f (HAdd.hAdd.{u5, u5, u5} M M M (instHAdd.{u5} M (AddZeroClass.toHasAdd.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u7, u7, u7} P P P (instHAdd.{u7} P (AddZeroClass.toHasAdd.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)))) (f m₁ n) (f m₂ n))} {H2 : forall (c : R) (m : M) (n : N), Eq.{succ u7} P (f (SMul.smul.{u1, u5} R M (SMulZeroClass.toHasSmul.{u1, u5} R M (AddZeroClass.toHasZero.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))) (SMulWithZero.toSmulZeroClass.{u1, u5} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))) (MulActionWithZero.toSMulWithZero.{u1, u5} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))) (Module.toMulActionWithZero.{u1, u5} R M _inst_1 _inst_5 _inst_16)))) c m) n) (SMul.smul.{u3, u7} R₂ P (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18)))) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) (fun (_x : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) => R -> R₂) (RingHom.hasCoeToFun.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) ρ₁₂ c) (f m n))} {H3 : forall (m : M) (n₁ : N) (n₂ : N), Eq.{succ u7} P (f m (HAdd.hAdd.{u6, u6, u6} N N N (instHAdd.{u6} N (AddZeroClass.toHasAdd.{u6} N (AddMonoid.toAddZeroClass.{u6} N (AddCommMonoid.toAddMonoid.{u6} N _inst_6)))) n₁ n₂)) (HAdd.hAdd.{u7, u7, u7} P P P (instHAdd.{u7} P (AddZeroClass.toHasAdd.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)))) (f m n₁) (f m n₂))} {H4 : forall (c : S) (m : M) (n : N), Eq.{succ u7} P (f m (SMul.smul.{u2, u6} S N (SMulZeroClass.toHasSmul.{u2, u6} S N (AddZeroClass.toHasZero.{u6} N (AddMonoid.toAddZeroClass.{u6} N (AddCommMonoid.toAddMonoid.{u6} N _inst_6))) (SMulWithZero.toSmulZeroClass.{u2, u6} S N (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)))) (AddZeroClass.toHasZero.{u6} N (AddMonoid.toAddZeroClass.{u6} N (AddCommMonoid.toAddMonoid.{u6} N _inst_6))) (MulActionWithZero.toSMulWithZero.{u2, u6} S N (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddZeroClass.toHasZero.{u6} N (AddMonoid.toAddZeroClass.{u6} N (AddCommMonoid.toAddMonoid.{u6} N _inst_6))) (Module.toMulActionWithZero.{u2, u6} S N _inst_2 _inst_6 _inst_17)))) c n)) (SMul.smul.{u4, u7} S₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) (fun (_x : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S 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_inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) (LinearMap.mk₂'ₛₗ.{u1, u2, u3, u4, u5, u6, u7} R _inst_1 S _inst_2 R₂ _inst_3 S₂ _inst_4 M N P _inst_5 _inst_6 _inst_7 _inst_16 _inst_17 _inst_18 _inst_19 _inst_30 ρ₁₂ σ₁₂ f H1 H2 H3 H4) m) n) (f m n)
 but is expected to have type
-  forall {R : Type.{u5}} [_inst_1 : Semiring.{u5} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u4}} [_inst_3 : Semiring.{u4} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u6}} {N : Type.{u3}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u6} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u5, u6} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u4, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u4, u7} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u7} S₂ P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u7} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u7} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u1, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u4, u7} R₂ P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u4, u7} R₂ P (MonoidWithZero.toZero.{u4} R₂ (Semiring.toMonoidWithZero.{u4} R₂ _inst_3)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u4, u7} R₂ P (Semiring.toMonoidWithZero.{u4} R₂ _inst_3) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u4, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : M -> N -> P) {H1 : forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u7} P (f (HAdd.hAdd.{u6, u6, u6} M M M (instHAdd.{u6} M (AddZeroClass.toAdd.{u6} M (AddMonoid.toAddZeroClass.{u6} M (AddCommMonoid.toAddMonoid.{u6} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u7, u7, u7} P P P (instHAdd.{u7} P (AddZeroClass.toAdd.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)))) (f m₁ n) (f m₂ n))} {H2 : forall (c : R) (m : M) (n : N), Eq.{succ u7} P (f (HSMul.hSMul.{u5, u6, u6} R M M (instHSMul.{u5, u6} R M (SMulZeroClass.toSMul.{u5, u6} R M (AddMonoid.toZero.{u6} M (AddCommMonoid.toAddMonoid.{u6} M _inst_5)) (SMulWithZero.toSMulZeroClass.{u5, u6} R M (MonoidWithZero.toZero.{u5} R (Semiring.toMonoidWithZero.{u5} R _inst_1)) (AddMonoid.toZero.{u6} M (AddCommMonoid.toAddMonoid.{u6} M _inst_5)) (MulActionWithZero.toSMulWithZero.{u5, u6} R M (Semiring.toMonoidWithZero.{u5} R _inst_1) (AddMonoid.toZero.{u6} M (AddCommMonoid.toAddMonoid.{u6} M _inst_5)) (Module.toMulActionWithZero.{u5, u6} R M _inst_1 _inst_5 _inst_16))))) c m) n) (HSMul.hSMul.{u4, u7, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) P P (instHSMul.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) P (SMulZeroClass.toSMul.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) P (MonoidWithZero.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) (Semiring.toMonoidWithZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) _inst_3)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) P (Semiring.toMonoidWithZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) _inst_3) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) P _inst_3 _inst_7 _inst_18))))) (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (RingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) _x) (MulHomClass.toFunLike.{max u5 u4, u5, u4} (RingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)) R R₂ (NonUnitalNonAssocSemiring.toMul.{u5} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u5} R (Semiring.toNonAssocSemiring.{u5} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u4} R₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R₂ (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u5 u4, u5, u4} (RingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)) R R₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u5} R (Semiring.toNonAssocSemiring.{u5} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R₂ (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u5 u4, u5, u4} (RingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)) R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3) (RingHom.instRingHomClassRingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3))))) ρ₁₂ c) (f m n))} {H3 : forall (m : M) (n₁ : N) (n₂ : N), Eq.{succ u7} P (f m (HAdd.hAdd.{u3, u3, u3} N N N (instHAdd.{u3} N (AddZeroClass.toAdd.{u3} N (AddMonoid.toAddZeroClass.{u3} N (AddCommMonoid.toAddMonoid.{u3} N _inst_6)))) n₁ n₂)) (HAdd.hAdd.{u7, u7, u7} P P P (instHAdd.{u7} P (AddZeroClass.toAdd.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)))) (f m n₁) (f m n₂))} {H4 : forall (c : S) (m : M) (n : N), Eq.{succ u7} P (f m (HSMul.hSMul.{u2, u3, u3} S N N (instHSMul.{u2, u3} S N (SMulZeroClass.toSMul.{u2, u3} S N (AddMonoid.toZero.{u3} N (AddCommMonoid.toAddMonoid.{u3} N _inst_6)) (SMulWithZero.toSMulZeroClass.{u2, u3} S N (MonoidWithZero.toZero.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)) (AddMonoid.toZero.{u3} N (AddCommMonoid.toAddMonoid.{u3} N _inst_6)) (MulActionWithZero.toSMulWithZero.{u2, u3} S N (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddMonoid.toZero.{u3} N (AddCommMonoid.toAddMonoid.{u3} N _inst_6)) (Module.toMulActionWithZero.{u2, u3} S N _inst_2 _inst_6 _inst_17))))) c n)) (HSMul.hSMul.{u1, u7, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) P P (instHSMul.{u1, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) P (SMulZeroClass.toSMul.{u1, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) P (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) _inst_4)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) P (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) _inst_4) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u1, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) P _inst_4 _inst_7 _inst_19))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) S (fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) S S₂ (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) (NonUnitalNonAssocSemiring.toMul.{u1} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S₂ (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) S S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S₂ (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4) (RingHom.instRingHomClassRingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4))))) σ₁₂ c) (f m n))} (m : M) (n : N), Eq.{succ u7} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) n) (FunLike.coe.{max (succ u3) (succ u7), succ u3, succ u7} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) m) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u6) (succ u3)) (succ u7), succ u6, max (succ u3) (succ u7)} (LinearMap.{u5, u4, u6, max u7 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u4, u3, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u5, u4, u6, max u3 u7} R R₂ M (LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u4, u3, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) (LinearMap.mk₂'ₛₗ.{u5, u2, u4, u1, u6, u3, u7} R _inst_1 S _inst_2 R₂ _inst_3 S₂ _inst_4 M N P _inst_5 _inst_6 _inst_7 _inst_16 _inst_17 _inst_18 _inst_19 _inst_30 ρ₁₂ σ₁₂ f H1 H2 H3 H4) m) n) (f m n)
+  forall {R : Type.{u5}} [_inst_1 : Semiring.{u5} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u4}} [_inst_3 : Semiring.{u4} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u6}} {N : Type.{u3}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u6} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u5, u6} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u4, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u4, u7} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u7} S₂ P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u7} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u7} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u1, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u4, u7} R₂ P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u4, u7} R₂ P (MonoidWithZero.toZero.{u4} R₂ (Semiring.toMonoidWithZero.{u4} R₂ _inst_3)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u4, u7} R₂ P (Semiring.toMonoidWithZero.{u4} R₂ _inst_3) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u4, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : M -> N -> P) {H1 : forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u7} P (f (HAdd.hAdd.{u6, u6, u6} M M M (instHAdd.{u6} M (AddZeroClass.toAdd.{u6} M (AddMonoid.toAddZeroClass.{u6} M (AddCommMonoid.toAddMonoid.{u6} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u7, u7, u7} P P P (instHAdd.{u7} P (AddZeroClass.toAdd.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)))) (f m₁ n) (f m₂ n))} {H2 : forall (c : R) (m : M) (n : N), Eq.{succ u7} P (f (HSMul.hSMul.{u5, u6, u6} R M M (instHSMul.{u5, u6} R M (SMulZeroClass.toSMul.{u5, u6} R M (AddMonoid.toZero.{u6} M (AddCommMonoid.toAddMonoid.{u6} M _inst_5)) (SMulWithZero.toSMulZeroClass.{u5, u6} R M (MonoidWithZero.toZero.{u5} R (Semiring.toMonoidWithZero.{u5} R _inst_1)) (AddMonoid.toZero.{u6} M (AddCommMonoid.toAddMonoid.{u6} M _inst_5)) (MulActionWithZero.toSMulWithZero.{u5, u6} R M (Semiring.toMonoidWithZero.{u5} R _inst_1) (AddMonoid.toZero.{u6} M (AddCommMonoid.toAddMonoid.{u6} M _inst_5)) (Module.toMulActionWithZero.{u5, u6} R M _inst_1 _inst_5 _inst_16))))) c m) n) (HSMul.hSMul.{u4, u7, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) P P (instHSMul.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) P (SMulZeroClass.toSMul.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) P (MonoidWithZero.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) (Semiring.toMonoidWithZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) _inst_3)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) P (Semiring.toMonoidWithZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) _inst_3) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) P _inst_3 _inst_7 _inst_18))))) (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (RingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) _x) (MulHomClass.toFunLike.{max u5 u4, u5, u4} (RingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)) R R₂ (NonUnitalNonAssocSemiring.toMul.{u5} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u5} R (Semiring.toNonAssocSemiring.{u5} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u4} R₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R₂ (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u5 u4, u5, u4} (RingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)) R R₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u5} R (Semiring.toNonAssocSemiring.{u5} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R₂ (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u5 u4, u5, u4} (RingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)) R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3) (RingHom.instRingHomClassRingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3))))) ρ₁₂ c) (f m n))} {H3 : forall (m : M) (n₁ : N) (n₂ : N), Eq.{succ u7} P (f m (HAdd.hAdd.{u3, u3, u3} N N N (instHAdd.{u3} N (AddZeroClass.toAdd.{u3} N (AddMonoid.toAddZeroClass.{u3} N (AddCommMonoid.toAddMonoid.{u3} N _inst_6)))) n₁ n₂)) (HAdd.hAdd.{u7, u7, u7} P P P (instHAdd.{u7} P (AddZeroClass.toAdd.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)))) (f m n₁) (f m n₂))} {H4 : forall (c : S) (m : M) (n : N), Eq.{succ u7} P (f m (HSMul.hSMul.{u2, u3, u3} S N N (instHSMul.{u2, u3} S N (SMulZeroClass.toSMul.{u2, u3} S N (AddMonoid.toZero.{u3} N (AddCommMonoid.toAddMonoid.{u3} N _inst_6)) (SMulWithZero.toSMulZeroClass.{u2, u3} S N (MonoidWithZero.toZero.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)) (AddMonoid.toZero.{u3} N (AddCommMonoid.toAddMonoid.{u3} N _inst_6)) (MulActionWithZero.toSMulWithZero.{u2, u3} S N (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddMonoid.toZero.{u3} N (AddCommMonoid.toAddMonoid.{u3} N _inst_6)) (Module.toMulActionWithZero.{u2, u3} S N _inst_2 _inst_6 _inst_17))))) c n)) (HSMul.hSMul.{u1, u7, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) P P (instHSMul.{u1, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) P (SMulZeroClass.toSMul.{u1, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) P (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) _inst_4)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) P (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) _inst_4) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u1, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) P _inst_4 _inst_7 _inst_19))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) S (fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) S S₂ (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) (NonUnitalNonAssocSemiring.toMul.{u1} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S₂ (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) S S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S₂ (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4) (RingHom.instRingHomClassRingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4))))) σ₁₂ c) (f m n))} (m : M) (n : N), Eq.{succ u7} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) n) (FunLike.coe.{max (succ u3) (succ u7), succ u3, succ u7} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) m) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u6) (succ u3)) (succ u7), succ u6, max (succ u3) (succ u7)} (LinearMap.{u5, u4, u6, max u7 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u4, u3, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u5, u4, u6, max u3 u7} R R₂ M (LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u4, u3, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) (LinearMap.mk₂'ₛₗ.{u5, u2, u4, u1, u6, u3, u7} R _inst_1 S _inst_2 R₂ _inst_3 S₂ _inst_4 M N P _inst_5 _inst_6 _inst_7 _inst_16 _inst_17 _inst_18 _inst_19 _inst_30 ρ₁₂ σ₁₂ f H1 H2 H3 H4) m) n) (f m n)
 Case conversion may be inaccurate. Consider using '#align linear_map.mk₂'ₛₗ_apply LinearMap.mk₂'ₛₗ_applyₓ'. -/
 @[simp]
 theorem mk₂'ₛₗ_apply (f : M → N → P) {H1 H2 H3 H4} (m : M) (n : N) :
@@ -136,7 +136,7 @@ variable {R S}
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {M : Type.{u3}} {N : Type.{u4}} {Pₗ : Type.{u5}} [_inst_5 : AddCommMonoid.{u3} M] [_inst_6 : AddCommMonoid.{u4} N] [_inst_12 : AddCommMonoid.{u5} Pₗ] [_inst_16 : Module.{u1, u3} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u4} S N _inst_2 _inst_6] [_inst_24 : Module.{u1, u5} R Pₗ _inst_1 _inst_12] [_inst_25 : Module.{u2, u5} S Pₗ _inst_2 _inst_12] [_inst_31 : SMulCommClass.{u2, u1, u5} S R Pₗ (SMulZeroClass.toHasSmul.{u2, u5} S Pₗ (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (SMulWithZero.toSmulZeroClass.{u2, u5} S Pₗ (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)))) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (MulActionWithZero.toSMulWithZero.{u2, u5} S Pₗ (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (Module.toMulActionWithZero.{u2, u5} S Pₗ _inst_2 _inst_12 _inst_25)))) (SMulZeroClass.toHasSmul.{u1, u5} R Pₗ (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (SMulWithZero.toSmulZeroClass.{u1, u5} R Pₗ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (MulActionWithZero.toSMulWithZero.{u1, u5} R Pₗ (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (Module.toMulActionWithZero.{u1, u5} R Pₗ _inst_1 _inst_12 _inst_24))))] (f : M -> N -> Pₗ) {H1 : forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u5} Pₗ (f (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toHasAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u5, u5, u5} Pₗ Pₗ Pₗ (instHAdd.{u5} Pₗ (AddZeroClass.toHasAdd.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)))) (f m₁ n) (f m₂ n))} {H2 : forall (c : R) (m : M) (n : N), Eq.{succ u5} Pₗ (f (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_5))) (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_5))) (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_5))) (Module.toMulActionWithZero.{u1, u3} R M _inst_1 _inst_5 _inst_16)))) c m) n) (SMul.smul.{u1, u5} R Pₗ (SMulZeroClass.toHasSmul.{u1, u5} R Pₗ (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (SMulWithZero.toSmulZeroClass.{u1, u5} R Pₗ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (MulActionWithZero.toSMulWithZero.{u1, u5} R Pₗ (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (Module.toMulActionWithZero.{u1, u5} R Pₗ _inst_1 _inst_12 _inst_24)))) c (f m n))} {H3 : forall (m : M) (n₁ : N) (n₂ : N), Eq.{succ u5} Pₗ (f m (HAdd.hAdd.{u4, u4, u4} N N N (instHAdd.{u4} N (AddZeroClass.toHasAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_6)))) n₁ n₂)) (HAdd.hAdd.{u5, u5, u5} Pₗ Pₗ Pₗ (instHAdd.{u5} Pₗ (AddZeroClass.toHasAdd.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)))) (f m n₁) (f m n₂))} {H4 : forall (c : S) (m : M) (n : N), Eq.{succ u5} Pₗ (f m (SMul.smul.{u2, u4} S N (SMulZeroClass.toHasSmul.{u2, u4} S N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_6))) (SMulWithZero.toSmulZeroClass.{u2, u4} S N (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_6))) (MulActionWithZero.toSMulWithZero.{u2, u4} S N (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_6))) (Module.toMulActionWithZero.{u2, u4} S N _inst_2 _inst_6 _inst_17)))) c n)) (SMul.smul.{u2, u5} S Pₗ (SMulZeroClass.toHasSmul.{u2, u5} S Pₗ (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (SMulWithZero.toSmulZeroClass.{u2, u5} S Pₗ (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)))) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (MulActionWithZero.toSMulWithZero.{u2, u5} S Pₗ (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (Module.toMulActionWithZero.{u2, u5} S Pₗ _inst_2 _inst_12 _inst_25)))) c (f m n))} (m : M) (n : N), Eq.{succ u5} Pₗ (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (LinearMap.{u2, u2, u4, u5} S S _inst_2 _inst_2 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) (fun (_x : LinearMap.{u2, u2, u4, u5} S S _inst_2 _inst_2 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) => N -> Pₗ) (LinearMap.hasCoeToFun.{u2, u2, u4, u5} S S N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) (coeFn.{max (succ u3) (succ (max u4 u5)), max (succ u3) (succ (max u4 u5))} (LinearMap.{u1, u1, u3, max u4 u5} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M (LinearMap.{u2, u2, u4, u5} S S _inst_2 _inst_2 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) _inst_5 (LinearMap.addCommMonoid.{u2, u2, u4, u5} S S N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) _inst_16 (LinearMap.module.{u2, u2, u1, u4, u5} S S R N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) _inst_1 _inst_24 _inst_31)) (fun (_x : LinearMap.{u1, u1, u3, max u4 u5} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M (LinearMap.{u2, u2, u4, u5} S S _inst_2 _inst_2 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) _inst_5 (LinearMap.addCommMonoid.{u2, u2, u4, u5} S S N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) _inst_16 (LinearMap.module.{u2, u2, u1, u4, u5} S S R N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) _inst_1 _inst_24 _inst_31)) => M -> (LinearMap.{u2, u2, u4, u5} S S _inst_2 _inst_2 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25)) (LinearMap.hasCoeToFun.{u1, u1, u3, max u4 u5} R R M (LinearMap.{u2, u2, u4, u5} S S _inst_2 _inst_2 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) _inst_1 _inst_1 _inst_5 (LinearMap.addCommMonoid.{u2, u2, u4, u5} S S N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) _inst_16 (LinearMap.module.{u2, u2, u1, u4, u5} S S R N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) _inst_1 _inst_24 _inst_31) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (LinearMap.mk₂'.{u1, u2, u3, u4, u5} R _inst_1 S _inst_2 M N Pₗ _inst_5 _inst_6 _inst_12 _inst_16 _inst_17 _inst_24 _inst_25 _inst_31 f H1 H2 H3 H4) m) n) (f m n)
 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Semiring.{u3} R] {S : Type.{u1}} [_inst_2 : Semiring.{u1} S] {M : Type.{u4}} {N : Type.{u2}} {Pₗ : Type.{u5}} [_inst_5 : AddCommMonoid.{u4} M] [_inst_6 : AddCommMonoid.{u2} N] [_inst_12 : AddCommMonoid.{u5} Pₗ] [_inst_16 : Module.{u3, u4} R M _inst_1 _inst_5] [_inst_17 : Module.{u1, u2} S N _inst_2 _inst_6] [_inst_24 : Module.{u3, u5} R Pₗ _inst_1 _inst_12] [_inst_25 : Module.{u1, u5} S Pₗ _inst_2 _inst_12] [_inst_31 : SMulCommClass.{u1, u3, u5} S R Pₗ (SMulZeroClass.toSMul.{u1, u5} S Pₗ (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (SMulWithZero.toSMulZeroClass.{u1, u5} S Pₗ (MonoidWithZero.toZero.{u1} S (Semiring.toMonoidWithZero.{u1} S _inst_2)) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (MulActionWithZero.toSMulWithZero.{u1, u5} S Pₗ (Semiring.toMonoidWithZero.{u1} S _inst_2) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (Module.toMulActionWithZero.{u1, u5} S Pₗ _inst_2 _inst_12 _inst_25)))) (SMulZeroClass.toSMul.{u3, u5} R Pₗ (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (SMulWithZero.toSMulZeroClass.{u3, u5} R Pₗ (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (MulActionWithZero.toSMulWithZero.{u3, u5} R Pₗ (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (Module.toMulActionWithZero.{u3, u5} R Pₗ _inst_1 _inst_12 _inst_24))))] (f : M -> N -> Pₗ) {H1 : forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u5} Pₗ (f (HAdd.hAdd.{u4, u4, u4} M M M (instHAdd.{u4} M (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u5, u5, u5} Pₗ Pₗ Pₗ (instHAdd.{u5} Pₗ (AddZeroClass.toAdd.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)))) (f m₁ n) (f m₂ n))} {H2 : forall 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(MulActionWithZero.toSMulWithZero.{u3, u5} R Pₗ (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (Module.toMulActionWithZero.{u3, u5} R Pₗ _inst_1 _inst_12 _inst_24))))) c (f m n))} {H3 : forall (m : M) (n₁ : N) (n₂ : N), Eq.{succ u5} Pₗ (f m (HAdd.hAdd.{u2, u2, u2} N N N (instHAdd.{u2} N (AddZeroClass.toAdd.{u2} N (AddMonoid.toAddZeroClass.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_6)))) n₁ n₂)) (HAdd.hAdd.{u5, u5, u5} Pₗ Pₗ Pₗ (instHAdd.{u5} Pₗ (AddZeroClass.toAdd.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)))) (f m n₁) (f m n₂))} {H4 : forall (c : S) (m : M) (n : N), Eq.{succ u5} Pₗ (f m (HSMul.hSMul.{u1, u2, u2} S N N (instHSMul.{u1, u2} S N (SMulZeroClass.toSMul.{u1, u2} S N (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_6)) (SMulWithZero.toSMulZeroClass.{u1, u2} S N (MonoidWithZero.toZero.{u1} S (Semiring.toMonoidWithZero.{u1} S _inst_2)) (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_6)) (MulActionWithZero.toSMulWithZero.{u1, u2} S N (Semiring.toMonoidWithZero.{u1} S _inst_2) (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_6)) (Module.toMulActionWithZero.{u1, u2} S N _inst_2 _inst_6 _inst_17))))) c n)) (HSMul.hSMul.{u1, u5, u5} S Pₗ Pₗ (instHSMul.{u1, u5} S Pₗ (SMulZeroClass.toSMul.{u1, u5} S Pₗ (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (SMulWithZero.toSMulZeroClass.{u1, u5} S Pₗ (MonoidWithZero.toZero.{u1} S (Semiring.toMonoidWithZero.{u1} S _inst_2)) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (MulActionWithZero.toSMulWithZero.{u1, u5} S Pₗ (Semiring.toMonoidWithZero.{u1} S _inst_2) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (Module.toMulActionWithZero.{u1, u5} S Pₗ _inst_2 _inst_12 _inst_25))))) c (f m n))} (m : M) (n : N), Eq.{succ u5} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => Pₗ) n) (FunLike.coe.{max (succ u2) (succ u5), succ u2, succ u5} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u1, u1, u2, u5} S S _inst_2 _inst_2 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) m) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => Pₗ) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u5} S S N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u5), succ u4, max (succ u2) (succ u5)} (LinearMap.{u3, u3, u4, max u5 u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M (LinearMap.{u1, u1, u2, u5} S S _inst_2 _inst_2 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) _inst_5 (LinearMap.addCommMonoid.{u1, u1, u2, u5} S S N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u3, u2, u5} S S R N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) _inst_1 _inst_24 _inst_31)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u1, u1, u2, u5} S S _inst_2 _inst_2 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u4, max u2 u5} R R M (LinearMap.{u1, u1, u2, u5} S S _inst_2 _inst_2 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) _inst_1 _inst_1 _inst_5 (LinearMap.addCommMonoid.{u1, u1, u2, u5} S S N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u3, u2, u5} S S R N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) _inst_1 _inst_24 _inst_31) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1))) (LinearMap.mk₂'.{u3, u1, u4, u2, u5} R _inst_1 S _inst_2 M N Pₗ _inst_5 _inst_6 _inst_12 _inst_16 _inst_17 _inst_24 _inst_25 _inst_31 f H1 H2 H3 H4) m) n) (f m n)
+  forall {R : Type.{u3}} [_inst_1 : Semiring.{u3} R] {S : Type.{u1}} [_inst_2 : Semiring.{u1} S] {M : Type.{u4}} {N : Type.{u2}} {Pₗ : Type.{u5}} [_inst_5 : AddCommMonoid.{u4} M] [_inst_6 : AddCommMonoid.{u2} N] [_inst_12 : AddCommMonoid.{u5} Pₗ] [_inst_16 : Module.{u3, u4} R M _inst_1 _inst_5] [_inst_17 : Module.{u1, u2} S N _inst_2 _inst_6] [_inst_24 : Module.{u3, u5} R Pₗ _inst_1 _inst_12] [_inst_25 : Module.{u1, u5} S Pₗ _inst_2 _inst_12] [_inst_31 : SMulCommClass.{u1, u3, u5} S R Pₗ (SMulZeroClass.toSMul.{u1, u5} S Pₗ (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (SMulWithZero.toSMulZeroClass.{u1, u5} S Pₗ (MonoidWithZero.toZero.{u1} S (Semiring.toMonoidWithZero.{u1} S _inst_2)) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (MulActionWithZero.toSMulWithZero.{u1, u5} S Pₗ (Semiring.toMonoidWithZero.{u1} S _inst_2) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (Module.toMulActionWithZero.{u1, u5} S Pₗ _inst_2 _inst_12 _inst_25)))) (SMulZeroClass.toSMul.{u3, u5} R Pₗ (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (SMulWithZero.toSMulZeroClass.{u3, u5} R Pₗ (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (MulActionWithZero.toSMulWithZero.{u3, u5} R Pₗ (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (Module.toMulActionWithZero.{u3, u5} R Pₗ _inst_1 _inst_12 _inst_24))))] (f : M -> N -> Pₗ) {H1 : forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u5} Pₗ (f (HAdd.hAdd.{u4, u4, u4} M M M (instHAdd.{u4} M (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u5, u5, u5} Pₗ Pₗ Pₗ (instHAdd.{u5} Pₗ (AddZeroClass.toAdd.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)))) (f m₁ n) (f m₂ n))} {H2 : forall (c : R) (m : M) (n : N), Eq.{succ u5} Pₗ (f (HSMul.hSMul.{u3, u4, u4} R M M (instHSMul.{u3, u4} R M (SMulZeroClass.toSMul.{u3, u4} R M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_5)) (SMulWithZero.toSMulZeroClass.{u3, u4} R M (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_5)) (MulActionWithZero.toSMulWithZero.{u3, u4} R M (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_5)) (Module.toMulActionWithZero.{u3, u4} R M _inst_1 _inst_5 _inst_16))))) c m) n) (HSMul.hSMul.{u3, u5, u5} R Pₗ Pₗ (instHSMul.{u3, u5} R Pₗ (SMulZeroClass.toSMul.{u3, u5} R Pₗ (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (SMulWithZero.toSMulZeroClass.{u3, u5} R Pₗ (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (MulActionWithZero.toSMulWithZero.{u3, u5} R Pₗ (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (Module.toMulActionWithZero.{u3, u5} R Pₗ _inst_1 _inst_12 _inst_24))))) c (f m n))} {H3 : forall (m : M) (n₁ : N) (n₂ : N), Eq.{succ u5} Pₗ (f m (HAdd.hAdd.{u2, u2, u2} N N N (instHAdd.{u2} N (AddZeroClass.toAdd.{u2} N (AddMonoid.toAddZeroClass.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_6)))) n₁ n₂)) (HAdd.hAdd.{u5, u5, u5} Pₗ Pₗ Pₗ (instHAdd.{u5} Pₗ (AddZeroClass.toAdd.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)))) (f m n₁) (f m n₂))} {H4 : forall (c : S) (m : M) (n : N), Eq.{succ u5} Pₗ (f m (HSMul.hSMul.{u1, u2, u2} S N N (instHSMul.{u1, u2} S N (SMulZeroClass.toSMul.{u1, u2} S N (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_6)) (SMulWithZero.toSMulZeroClass.{u1, u2} S N (MonoidWithZero.toZero.{u1} S (Semiring.toMonoidWithZero.{u1} S _inst_2)) (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_6)) (MulActionWithZero.toSMulWithZero.{u1, u2} S N (Semiring.toMonoidWithZero.{u1} S _inst_2) (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_6)) (Module.toMulActionWithZero.{u1, u2} S N _inst_2 _inst_6 _inst_17))))) c n)) (HSMul.hSMul.{u1, u5, u5} S Pₗ Pₗ (instHSMul.{u1, u5} S Pₗ (SMulZeroClass.toSMul.{u1, u5} S Pₗ (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (SMulWithZero.toSMulZeroClass.{u1, u5} S Pₗ (MonoidWithZero.toZero.{u1} S (Semiring.toMonoidWithZero.{u1} S _inst_2)) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (MulActionWithZero.toSMulWithZero.{u1, u5} S Pₗ (Semiring.toMonoidWithZero.{u1} S _inst_2) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (Module.toMulActionWithZero.{u1, u5} S Pₗ _inst_2 _inst_12 _inst_25))))) c (f m n))} (m : M) (n : N), Eq.{succ u5} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => Pₗ) n) (FunLike.coe.{max (succ u2) (succ u5), succ u2, succ u5} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u1, u1, u2, u5} S S _inst_2 _inst_2 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) m) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => Pₗ) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u5} S S N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u5), succ u4, max (succ u2) (succ u5)} (LinearMap.{u3, u3, u4, max u5 u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M (LinearMap.{u1, u1, u2, u5} S S _inst_2 _inst_2 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) _inst_5 (LinearMap.addCommMonoid.{u1, u1, u2, u5} S S N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u3, u2, u5} S S R N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) _inst_1 _inst_24 _inst_31)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u1, u1, u2, u5} S S _inst_2 _inst_2 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u4, max u2 u5} R R M (LinearMap.{u1, u1, u2, u5} S S _inst_2 _inst_2 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) _inst_1 _inst_1 _inst_5 (LinearMap.addCommMonoid.{u1, u1, u2, u5} S S N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u3, u2, u5} S S R N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) _inst_1 _inst_24 _inst_31) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1))) (LinearMap.mk₂'.{u3, u1, u4, u2, u5} R _inst_1 S _inst_2 M N Pₗ _inst_5 _inst_6 _inst_12 _inst_16 _inst_17 _inst_24 _inst_25 _inst_31 f H1 H2 H3 H4) m) n) (f m n)
 Case conversion may be inaccurate. Consider using '#align linear_map.mk₂'_apply LinearMap.mk₂'_applyₓ'. -/
 @[simp]
 theorem mk₂'_apply (f : M → N → Pₗ) {H1 H2 H3 H4} (m : M) (n : N) :
@@ -148,7 +148,7 @@ theorem mk₂'_apply (f : M → N → Pₗ) {H1 H2 H3 H4} (m : M) (n : N) :
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} {f : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)} {g : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)}, (forall (m : M) (n : N), Eq.{succ u7} P (coeFn.{max (succ u6) (succ u7), max (succ u6) (succ u7)} (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (fun (_x : LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) => N -> P) (LinearMap.hasCoeToFun.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (coeFn.{max (succ u5) (succ (max u6 u7)), max (succ u5) (succ (max u6 u7))} (LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (fun (_x : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) => M -> (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19)) (LinearMap.hasCoeToFun.{u1, u3, u5, max u6 u7} R R₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f m) n) (coeFn.{max (succ u6) (succ u7), max (succ u6) (succ u7)} (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (fun (_x : LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) => N -> P) (LinearMap.hasCoeToFun.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (coeFn.{max (succ u5) (succ (max u6 u7)), max (succ u5) (succ (max u6 u7))} (LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (fun (_x : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) => M -> (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19)) (LinearMap.hasCoeToFun.{u1, u3, u5, max u6 u7} R R₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) g m) n)) -> (Eq.{max (succ u5) (succ (max u6 u7))} (LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) f g)
 but is expected to have type
-  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} {f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)} {g : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)}, (forall (m : M) (n : N), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) n) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) m) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f m) n) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) m) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) g m) n)) -> (Eq.{max (max (succ u5) (succ u3)) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) f g)
+  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} {f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)} {g : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)}, (forall (m : M) (n : N), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) n) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) m) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f m) n) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) m) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) g m) n)) -> (Eq.{max (max (succ u5) (succ u3)) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) f g)
 Case conversion may be inaccurate. Consider using '#align linear_map.ext₂ LinearMap.ext₂ₓ'. -/
 theorem ext₂ {f g : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P} (H : ∀ m n, f m n = g m n) : f = g :=
   LinearMap.ext fun m => LinearMap.ext fun n => H m n
@@ -158,7 +158,7 @@ theorem ext₂ {f g : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P} (H : ∀ m
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) 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 but is expected to have type
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LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) g x) y))
+  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} {f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)} {g : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)}, (Eq.{max (max (succ u5) (succ u3)) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) f g) -> (forall (x : M) (y : N), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) x) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f x) y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) x) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) g x) y))
 Case conversion may be inaccurate. Consider using '#align linear_map.congr_fun₂ LinearMap.congr_fun₂ₓ'. -/
 theorem congr_fun₂ {f g : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P} (h : f = g) (x y) : f x y = g x y :=
   LinearMap.congr_fun (LinearMap.congr_fun h x) y
@@ -184,7 +184,7 @@ end
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} (f : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (m : M) (n : N), Eq.{succ u7} P (coeFn.{max (succ u5) (succ u7), max (succ u5) (succ u7)} (LinearMap.{u1, u3, u5, u7} R R₂ _inst_1 _inst_3 ρ₁₂ M P _inst_5 _inst_7 _inst_16 _inst_18) (fun (_x : LinearMap.{u1, u3, u5, u7} R R₂ _inst_1 _inst_3 ρ₁₂ M P _inst_5 _inst_7 _inst_16 _inst_18) => M -> P) (LinearMap.hasCoeToFun.{u1, u3, u5, u7} R R₂ M P _inst_1 _inst_3 _inst_5 _inst_7 _inst_16 _inst_18 ρ₁₂) (coeFn.{max (succ u6) (succ (max u5 u7)), max (succ u6) (succ (max u5 u7))} (LinearMap.{u2, u4, u6, max u5 u7} S S₂ _inst_2 _inst_4 σ₁₂ N (LinearMap.{u1, u3, u5, u7} R R₂ _inst_1 _inst_3 ρ₁₂ M P _inst_5 _inst_7 _inst_16 _inst_18) _inst_6 (LinearMap.addCommMonoid.{u1, u3, u5, u7} R R₂ M P _inst_1 _inst_3 _inst_5 _inst_7 _inst_16 _inst_18 ρ₁₂) _inst_17 (LinearMap.module.{u1, u3, u4, u5, u7} R R₂ S₂ M P _inst_1 _inst_3 _inst_5 _inst_7 _inst_16 _inst_18 ρ₁₂ _inst_4 _inst_19 (LinearMap.flip._proof_1.{u3, u4, u7} R₂ _inst_3 S₂ _inst_4 P _inst_7 _inst_18 _inst_19 _inst_30))) (fun (_x : LinearMap.{u2, u4, u6, max u5 u7} S S₂ _inst_2 _inst_4 σ₁₂ N (LinearMap.{u1, u3, u5, u7} R R₂ _inst_1 _inst_3 ρ₁₂ M P _inst_5 _inst_7 _inst_16 _inst_18) _inst_6 (LinearMap.addCommMonoid.{u1, u3, u5, u7} R R₂ M P _inst_1 _inst_3 _inst_5 _inst_7 _inst_16 _inst_18 ρ₁₂) _inst_17 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σ₁₂ f) n) m) (coeFn.{max (succ u6) (succ u7), max (succ u6) (succ u7)} (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (fun (_x : LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) => N -> P) (LinearMap.hasCoeToFun.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (coeFn.{max (succ u5) (succ (max u6 u7)), max (succ u5) (succ (max u6 u7))} (LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (fun (_x : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) => M -> (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19)) (LinearMap.hasCoeToFun.{u1, u3, u5, max u6 u7} R R₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f m) n)
 but is expected to have type
-  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (m : M) (n : N), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => P) m) (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => LinearMap.{u7, u6, u5, u4} R R₂ _inst_1 _inst_3 ρ₁₂ M P _inst_5 _inst_7 _inst_16 _inst_18) n) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => P) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, u4} R R₂ M P _inst_1 _inst_3 _inst_5 _inst_7 _inst_16 _inst_18 ρ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u3, max (succ u5) (succ u4)} (LinearMap.{u2, u1, u3, max u4 u5} S S₂ _inst_2 _inst_4 σ₁₂ N (LinearMap.{u7, u6, u5, u4} R R₂ _inst_1 _inst_3 ρ₁₂ M P _inst_5 _inst_7 _inst_16 _inst_18) _inst_6 (LinearMap.addCommMonoid.{u7, u6, u5, u4} R R₂ M P _inst_1 _inst_3 _inst_5 _inst_7 _inst_16 _inst_18 ρ₁₂) _inst_17 (LinearMap.instModuleLinearMapAddCommMonoid.{u7, u6, u1, u5, u4} R R₂ S₂ M P _inst_1 _inst_3 _inst_5 _inst_7 _inst_16 _inst_18 ρ₁₂ _inst_4 _inst_19 (SMulCommClass.symm.{u4, u6, u1} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18)))) _inst_30))) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => LinearMap.{u7, u6, u5, u4} R R₂ _inst_1 _inst_3 ρ₁₂ M P _inst_5 _inst_7 _inst_16 _inst_18) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, max u5 u4} S S₂ N (LinearMap.{u7, u6, u5, u4} R R₂ _inst_1 _inst_3 ρ₁₂ M P _inst_5 _inst_7 _inst_16 _inst_18) _inst_2 _inst_4 _inst_6 (LinearMap.addCommMonoid.{u7, u6, u5, u4} R R₂ M P _inst_1 _inst_3 _inst_5 _inst_7 _inst_16 _inst_18 ρ₁₂) _inst_17 (LinearMap.instModuleLinearMapAddCommMonoid.{u7, u6, u1, u5, u4} R R₂ S₂ M P _inst_1 _inst_3 _inst_5 _inst_7 _inst_16 _inst_18 ρ₁₂ _inst_4 _inst_19 (SMulCommClass.symm.{u4, u6, u1} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18)))) _inst_30)) σ₁₂) (LinearMap.flip.{u7, u2, u6, u1, u5, u3, u4} R _inst_1 S _inst_2 R₂ _inst_3 S₂ _inst_4 M N P _inst_5 _inst_6 _inst_7 _inst_16 _inst_17 _inst_18 _inst_19 _inst_30 ρ₁₂ σ₁₂ f) n) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) m) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f m) n)
+  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (m : M) (n : N), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => P) m) (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => LinearMap.{u7, u6, u5, u4} R R₂ _inst_1 _inst_3 ρ₁₂ M P _inst_5 _inst_7 _inst_16 _inst_18) n) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => P) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, u4} R R₂ M P _inst_1 _inst_3 _inst_5 _inst_7 _inst_16 _inst_18 ρ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u3, max (succ u5) (succ u4)} (LinearMap.{u2, u1, u3, max u4 u5} S S₂ _inst_2 _inst_4 σ₁₂ N 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u1, u5, u4} R R₂ S₂ M P _inst_1 _inst_3 _inst_5 _inst_7 _inst_16 _inst_18 ρ₁₂ _inst_4 _inst_19 (SMulCommClass.symm.{u4, u6, u1} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18)))) _inst_30)) σ₁₂) (LinearMap.flip.{u7, u2, u6, u1, u5, u3, u4} R _inst_1 S _inst_2 R₂ _inst_3 S₂ _inst_4 M N P _inst_5 _inst_6 _inst_7 _inst_16 _inst_17 _inst_18 _inst_19 _inst_30 ρ₁₂ σ₁₂ f) n) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) m) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f m) n)
 Case conversion may be inaccurate. Consider using '#align linear_map.flip_apply LinearMap.flip_applyₓ'. -/
 @[simp]
 theorem flip_apply (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (m : M) (n : N) : flip f n m = f m n :=
@@ -220,7 +220,7 @@ theorem flip_inj {f g : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P} (H : flip
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} (f : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (y : N), Eq.{succ u7} P (coeFn.{max (succ u6) (succ u7), max (succ u6) (succ u7)} (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (fun (_x : LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) => N -> P) (LinearMap.hasCoeToFun.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (coeFn.{max (succ u5) (succ (max u6 u7)), max (succ u5) (succ (max u6 u7))} (LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (fun (_x : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) => M -> (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19)) (LinearMap.hasCoeToFun.{u1, u3, u5, max u6 u7} R R₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f (OfNat.ofNat.{u5} M 0 (OfNat.mk.{u5} M 0 (Zero.zero.{u5} M (AddZeroClass.toHasZero.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))))))) y) (OfNat.ofNat.{u7} P 0 (OfNat.mk.{u7} P 0 (Zero.zero.{u7} P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))))))
 but is expected to have type
-  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (y : N), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (OfNat.ofNat.{u5} M 0 (Zero.toOfNat0.{u5} M (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))))) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f (OfNat.ofNat.{u5} M 0 (Zero.toOfNat0.{u5} M (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))))) y) (OfNat.ofNat.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) y) 0 (Zero.toOfNat0.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) y) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) y) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) y) _inst_7))))
+  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (y : N), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (OfNat.ofNat.{u5} M 0 (Zero.toOfNat0.{u5} M (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))))) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f (OfNat.ofNat.{u5} M 0 (Zero.toOfNat0.{u5} M (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))))) y) (OfNat.ofNat.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) y) 0 (Zero.toOfNat0.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) y) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) y) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) y) _inst_7))))
 Case conversion may be inaccurate. Consider using '#align linear_map.map_zero₂ LinearMap.map_zero₂ₓ'. -/
 theorem map_zero₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (y) : f 0 y = 0 :=
   (flip f y).map_zero
@@ -230,7 +230,7 @@ theorem map_zero₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (y) : f
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {N : Type.{u5}} {M' : Type.{u6}} {P' : Type.{u7}} [_inst_6 : AddCommMonoid.{u5} N] [_inst_13 : AddCommGroup.{u6} M'] [_inst_15 : AddCommGroup.{u7} P'] [_inst_17 : Module.{u2, u5} S N _inst_2 _inst_6] [_inst_26 : Module.{u1, u6} R M' _inst_1 (AddCommGroup.toAddCommMonoid.{u6} M' _inst_13)] [_inst_28 : Module.{u3, u7} R₂ P' _inst_3 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)] [_inst_29 : Module.{u4, u7} S₂ P' _inst_4 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)] [_inst_32 : SMulCommClass.{u4, u3, u7} S₂ R₂ P' (SMulZeroClass.toHasSmul.{u4, u7} S₂ P' (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P' (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P' (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (Module.toMulActionWithZero.{u4, u7} S₂ P' _inst_4 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_29)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P' (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P' (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P' (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (Module.toMulActionWithZero.{u3, u7} R₂ P' _inst_3 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_28))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} (f : LinearMap.{u1, u3, u6, max u5 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u6} M' _inst_13) (LinearMap.addCommMonoid.{u2, u4, u5, u7} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.module.{u2, u4, u3, u5, u7} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) (x : M') (y : N), Eq.{succ u7} P' (coeFn.{max (succ u5) (succ u7), max (succ u5) (succ u7)} (LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29) (fun (_x : LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29) => N -> P') (LinearMap.hasCoeToFun.{u2, u4, u5, u7} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂) (coeFn.{max (succ u6) (succ (max u5 u7)), max (succ u6) (succ (max u5 u7))} (LinearMap.{u1, u3, u6, max u5 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u6} M' _inst_13) (LinearMap.addCommMonoid.{u2, u4, u5, u7} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.module.{u2, u4, u3, u5, u7} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) (fun (_x : LinearMap.{u1, u3, u6, max u5 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u6} M' _inst_13) (LinearMap.addCommMonoid.{u2, u4, u5, u7} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.module.{u2, u4, u3, u5, u7} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) => M' -> (LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29)) (LinearMap.hasCoeToFun.{u1, u3, u6, max u5 u7} R R₂ M' (LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29) _inst_1 _inst_3 (AddCommGroup.toAddCommMonoid.{u6} M' _inst_13) (LinearMap.addCommMonoid.{u2, u4, u5, u7} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.module.{u2, u4, u3, u5, u7} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32) ρ₁₂) f (Neg.neg.{u6} M' (SubNegMonoid.toHasNeg.{u6} M' (AddGroup.toSubNegMonoid.{u6} M' (AddCommGroup.toAddGroup.{u6} M' _inst_13))) x)) y) (Neg.neg.{u7} P' (SubNegMonoid.toHasNeg.{u7} P' (AddGroup.toSubNegMonoid.{u7} P' (AddCommGroup.toAddGroup.{u7} P' _inst_15))) (coeFn.{max (succ u5) (succ u7), max (succ u5) (succ u7)} (LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29) (fun (_x : LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29) => N -> P') (LinearMap.hasCoeToFun.{u2, u4, u5, u7} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂) (coeFn.{max (succ u6) (succ (max u5 u7)), max (succ u6) (succ (max u5 u7))} (LinearMap.{u1, u3, u6, max u5 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u6} M' _inst_13) (LinearMap.addCommMonoid.{u2, u4, u5, u7} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.module.{u2, u4, u3, u5, u7} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) (fun (_x : LinearMap.{u1, u3, u6, max u5 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u6} M' _inst_13) (LinearMap.addCommMonoid.{u2, u4, u5, u7} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.module.{u2, u4, u3, u5, u7} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) => M' -> (LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29)) 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 but is expected to have type
-  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {N : Type.{u3}} {M' : Type.{u5}} {P' : Type.{u4}} [_inst_6 : AddCommMonoid.{u3} N] [_inst_13 : AddCommGroup.{u5} M'] [_inst_15 : AddCommGroup.{u4} P'] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_26 : Module.{u7, u5} R M' _inst_1 (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13)] [_inst_28 : Module.{u6, u4} R₂ P' _inst_3 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15)] [_inst_29 : Module.{u1, u4} S₂ P' _inst_4 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15)] [_inst_32 : SMulCommClass.{u1, u6, u4} S₂ R₂ P' (SMulZeroClass.toSMul.{u1, u4} S₂ P' (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) 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(AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P' (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P' (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (Module.toMulActionWithZero.{u6, u4} R₂ P' _inst_3 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_28))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) (x : M') (y : N), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P') y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (Neg.neg.{u5} M' (NegZeroClass.toNeg.{u5} M' (SubNegZeroMonoid.toNegZeroClass.{u5} M' (SubtractionMonoid.toSubNegZeroMonoid.{u5} M' (SubtractionCommMonoid.toSubtractionMonoid.{u5} M' (AddCommGroup.toDivisionAddCommMonoid.{u5} M' _inst_13))))) x)) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P') _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) (FunLike.coe.{max (max (succ u3) (succ u5)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) M' (fun (_x : M') => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _inst_1 _inst_3 (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32) ρ₁₂) f (Neg.neg.{u5} M' (NegZeroClass.toNeg.{u5} M' (SubNegZeroMonoid.toNegZeroClass.{u5} M' (SubtractionMonoid.toSubNegZeroMonoid.{u5} M' (SubtractionCommMonoid.toSubtractionMonoid.{u5} M' (AddCommGroup.toDivisionAddCommMonoid.{u5} M' _inst_13))))) x)) y) (Neg.neg.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P') y) (NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P') y) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P') y) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P') y) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P') y) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P') y) _inst_15))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) x) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P') _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) (FunLike.coe.{max (max (succ u3) (succ u5)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) M' (fun (_x : M') => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _inst_1 _inst_3 (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32) ρ₁₂) f x) y))
+  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {N : Type.{u3}} {M' : Type.{u5}} {P' : Type.{u4}} [_inst_6 : AddCommMonoid.{u3} N] [_inst_13 : AddCommGroup.{u5} M'] [_inst_15 : AddCommGroup.{u4} P'] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_26 : Module.{u7, u5} R M' _inst_1 (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13)] [_inst_28 : Module.{u6, u4} R₂ P' _inst_3 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15)] [_inst_29 : Module.{u1, u4} S₂ P' _inst_4 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15)] [_inst_32 : SMulCommClass.{u1, u6, u4} S₂ R₂ P' (SMulZeroClass.toSMul.{u1, u4} S₂ P' (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P' (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P' (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (Module.toMulActionWithZero.{u1, u4} S₂ P' _inst_4 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_29)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P' (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P' (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P' (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (Module.toMulActionWithZero.{u6, u4} R₂ P' _inst_3 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_28))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) (x : M') (y : N), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P') y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (Neg.neg.{u5} M' (NegZeroClass.toNeg.{u5} M' (SubNegZeroMonoid.toNegZeroClass.{u5} M' (SubtractionMonoid.toSubNegZeroMonoid.{u5} M' (SubtractionCommMonoid.toSubtractionMonoid.{u5} M' (AddCommGroup.toDivisionAddCommMonoid.{u5} M' _inst_13))))) x)) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P') _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) (FunLike.coe.{max (max (succ u3) (succ u5)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) M' (fun (_x : M') => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _inst_1 _inst_3 (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32) ρ₁₂) f (Neg.neg.{u5} M' (NegZeroClass.toNeg.{u5} M' (SubNegZeroMonoid.toNegZeroClass.{u5} M' (SubtractionMonoid.toSubNegZeroMonoid.{u5} M' (SubtractionCommMonoid.toSubtractionMonoid.{u5} M' (AddCommGroup.toDivisionAddCommMonoid.{u5} M' _inst_13))))) x)) y) (Neg.neg.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P') y) (NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P') y) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P') y) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P') y) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P') y) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P') y) _inst_15))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) x) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P') _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) (FunLike.coe.{max (max (succ u3) (succ u5)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) M' (fun (_x : M') => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _inst_1 _inst_3 (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32) ρ₁₂) f x) y))
 Case conversion may be inaccurate. Consider using '#align linear_map.map_neg₂ LinearMap.map_neg₂ₓ'. -/
 theorem map_neg₂ (f : M' →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P') (x y) : f (-x) y = -f x y :=
   (flip f y).map_neg _
@@ -240,7 +240,7 @@ theorem map_neg₂ (f : M' →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P') (x y) :
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {N : Type.{u5}} {M' : Type.{u6}} {P' : Type.{u7}} [_inst_6 : AddCommMonoid.{u5} N] [_inst_13 : AddCommGroup.{u6} M'] [_inst_15 : AddCommGroup.{u7} P'] [_inst_17 : Module.{u2, u5} S N _inst_2 _inst_6] [_inst_26 : Module.{u1, u6} R M' _inst_1 (AddCommGroup.toAddCommMonoid.{u6} M' _inst_13)] [_inst_28 : Module.{u3, u7} R₂ P' _inst_3 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)] [_inst_29 : Module.{u4, u7} S₂ P' _inst_4 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)] [_inst_32 : SMulCommClass.{u4, u3, u7} S₂ R₂ P' (SMulZeroClass.toHasSmul.{u4, u7} S₂ P' (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P' (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P' (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (Module.toMulActionWithZero.{u4, u7} S₂ P' _inst_4 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_29)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P' (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P' (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P' (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (Module.toMulActionWithZero.{u3, u7} R₂ P' _inst_3 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_28))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} (f : LinearMap.{u1, u3, u6, max u5 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29) 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 but is expected to have type
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(x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) y) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P') _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) (FunLike.coe.{max (max (succ u3) (succ u5)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) M' (fun (_x : M') => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _inst_1 _inst_3 (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32) ρ₁₂) f y) z))
+  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {N : Type.{u3}} {M' : Type.{u5}} {P' : Type.{u4}} [_inst_6 : AddCommMonoid.{u3} N] [_inst_13 : AddCommGroup.{u5} M'] [_inst_15 : AddCommGroup.{u4} P'] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_26 : Module.{u7, u5} R M' _inst_1 (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13)] [_inst_28 : Module.{u6, u4} R₂ P' _inst_3 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15)] [_inst_29 : Module.{u1, u4} S₂ P' _inst_4 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15)] [_inst_32 : SMulCommClass.{u1, u6, u4} S₂ R₂ P' (SMulZeroClass.toSMul.{u1, u4} S₂ P' (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P' (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P' (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (Module.toMulActionWithZero.{u1, u4} S₂ P' _inst_4 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_29)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P' (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P' (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P' (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (Module.toMulActionWithZero.{u6, u4} R₂ P' _inst_3 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_28))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) (x : M') (y : M') (z : N), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P') z) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (HSub.hSub.{u5, u5, u5} M' M' M' (instHSub.{u5} M' (SubNegMonoid.toSub.{u5} M' (AddGroup.toSubNegMonoid.{u5} M' (AddCommGroup.toAddGroup.{u5} M' _inst_13)))) x y)) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P') _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) (FunLike.coe.{max (max (succ u3) (succ u5)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) M' (fun (_x : M') => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _inst_1 _inst_3 (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32) ρ₁₂) f (HSub.hSub.{u5, u5, u5} M' M' M' (instHSub.{u5} M' (SubNegMonoid.toSub.{u5} M' (AddGroup.toSubNegMonoid.{u5} M' (AddCommGroup.toAddGroup.{u5} M' _inst_13)))) x y)) z) (HSub.hSub.{u4, u4, u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P') z) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P') z) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P') z) (instHSub.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P') z) (SubNegMonoid.toSub.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P') z) (AddGroup.toSubNegMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P') z) (AddCommGroup.toAddGroup.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P') z) _inst_15)))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) x) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P') _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) (FunLike.coe.{max (max (succ u3) (succ u5)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) M' (fun (_x : M') => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _inst_1 _inst_3 (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32) ρ₁₂) f x) z) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) y) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P') _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) (FunLike.coe.{max (max (succ u3) (succ u5)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) M' (fun (_x : M') => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _inst_1 _inst_3 (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32) ρ₁₂) f y) z))
 Case conversion may be inaccurate. Consider using '#align linear_map.map_sub₂ LinearMap.map_sub₂ₓ'. -/
 theorem map_sub₂ (f : M' →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P') (x y z) : f (x - y) z = f x z - f y z :=
   (flip f z).map_sub _ _
@@ -250,7 +250,7 @@ theorem map_sub₂ (f : M' →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P') (x y z)
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P 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 but is expected to have type
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u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f x₁) y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) x₂) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ 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(LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f x₂) y))
+  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 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u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f x₁) y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) x₂) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ 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(LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f x₂) y))
 Case conversion may be inaccurate. Consider using '#align linear_map.map_add₂ LinearMap.map_add₂ₓ'. -/
 theorem map_add₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (x₁ x₂ y) : f (x₁ + x₂) y = f x₁ y + f x₂ y :=
   (flip f y).map_add _ _
@@ -260,7 +260,7 @@ theorem map_add₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (x₁ x
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {S₂ : Type.{u3}} [_inst_4 : Semiring.{u3} S₂] {M₂ : Type.{u4}} {N₂ : Type.{u5}} {P₂ : Type.{u6}} [_inst_8 : AddCommMonoid.{u4} M₂] [_inst_9 : AddCommMonoid.{u5} N₂] [_inst_10 : AddCommMonoid.{u6} P₂] [_inst_20 : Module.{u1, u4} R M₂ _inst_1 _inst_8] [_inst_21 : Module.{u2, u5} S N₂ _inst_2 _inst_9] [_inst_22 : Module.{u1, u6} R P₂ _inst_1 _inst_10] [_inst_23 : Module.{u3, u6} S₂ P₂ _inst_4 _inst_10] [_inst_33 : SMulCommClass.{u3, u1, u6} S₂ R P₂ (SMulZeroClass.toHasSmul.{u3, u6} S₂ P₂ (AddZeroClass.toHasZero.{u6} P₂ (AddMonoid.toAddZeroClass.{u6} P₂ (AddCommMonoid.toAddMonoid.{u6} P₂ _inst_10))) (SMulWithZero.toSmulZeroClass.{u3, u6} S₂ P₂ (MulZeroClass.toHasZero.{u3} S₂ (MulZeroOneClass.toMulZeroClass.{u3} S₂ (MonoidWithZero.toMulZeroOneClass.{u3} S₂ (Semiring.toMonoidWithZero.{u3} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u6} P₂ (AddMonoid.toAddZeroClass.{u6} P₂ 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 but is expected to have type
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=> P₂) y) (MonoidWithZero.toZero.{u6} R (Semiring.toMonoidWithZero.{u6} R _inst_1)) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N₂) => P₂) y) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N₂) => P₂) y) _inst_10)) (MulActionWithZero.toSMulWithZero.{u6, u4} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N₂) => P₂) y) (Semiring.toMonoidWithZero.{u6} R _inst_1) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N₂) => P₂) y) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N₂) => P₂) y) _inst_10)) (Module.toMulActionWithZero.{u6, u4} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N₂) => P₂) y) _inst_1 _inst_10 _inst_22))))) r (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₂) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23) x) N₂ (fun (_x : N₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N₂) => P₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u6, u6, u5, max u4 u3} R R _inst_1 _inst_1 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R _inst_1)) M₂ (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23) _inst_8 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂) _inst_20 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂ _inst_1 _inst_22 _inst_33)) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₂) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23) _x) (LinearMap.instFunLikeLinearMap.{u6, u6, u5, max u3 u4} R R M₂ (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23) _inst_1 _inst_1 _inst_8 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂) _inst_20 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂ _inst_1 _inst_22 _inst_33) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R _inst_1))) f x) y))
+  forall {R : Type.{u6}} [_inst_1 : Semiring.{u6} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M₂ : Type.{u5}} {N₂ : Type.{u3}} {P₂ : Type.{u4}} [_inst_8 : AddCommMonoid.{u5} M₂] [_inst_9 : AddCommMonoid.{u3} N₂] [_inst_10 : AddCommMonoid.{u4} P₂] [_inst_20 : Module.{u6, u5} R M₂ _inst_1 _inst_8] [_inst_21 : Module.{u2, u3} S N₂ _inst_2 _inst_9] [_inst_22 : Module.{u6, u4} R P₂ _inst_1 _inst_10] [_inst_23 : Module.{u1, u4} S₂ P₂ _inst_4 _inst_10] [_inst_33 : SMulCommClass.{u1, u6, u4} S₂ R P₂ (SMulZeroClass.toSMul.{u1, u4} S₂ P₂ (AddMonoid.toZero.{u4} P₂ (AddCommMonoid.toAddMonoid.{u4} P₂ _inst_10)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P₂ (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P₂ (AddCommMonoid.toAddMonoid.{u4} P₂ _inst_10)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P₂ (AddCommMonoid.toAddMonoid.{u4} P₂ _inst_10)) (Module.toMulActionWithZero.{u1, u4} S₂ P₂ _inst_4 _inst_10 _inst_23)))) (SMulZeroClass.toSMul.{u6, u4} R P₂ (AddMonoid.toZero.{u4} P₂ (AddCommMonoid.toAddMonoid.{u4} P₂ _inst_10)) (SMulWithZero.toSMulZeroClass.{u6, u4} R P₂ (MonoidWithZero.toZero.{u6} R (Semiring.toMonoidWithZero.{u6} R _inst_1)) (AddMonoid.toZero.{u4} P₂ (AddCommMonoid.toAddMonoid.{u4} P₂ _inst_10)) (MulActionWithZero.toSMulWithZero.{u6, u4} R P₂ (Semiring.toMonoidWithZero.{u6} R _inst_1) (AddMonoid.toZero.{u4} P₂ (AddCommMonoid.toAddMonoid.{u4} P₂ _inst_10)) (Module.toMulActionWithZero.{u6, u4} R P₂ _inst_1 _inst_10 _inst_22))))] {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : LinearMap.{u6, u6, u5, max u4 u3} R R _inst_1 _inst_1 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R _inst_1)) M₂ (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23) _inst_8 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂) _inst_20 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂ _inst_1 _inst_22 _inst_33)) (r : R) (x : M₂) (y : N₂), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N₂) => P₂) y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₂) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23) (HSMul.hSMul.{u6, u5, u5} R M₂ M₂ (instHSMul.{u6, u5} R M₂ (SMulZeroClass.toSMul.{u6, u5} R M₂ (AddMonoid.toZero.{u5} M₂ (AddCommMonoid.toAddMonoid.{u5} M₂ _inst_8)) (SMulWithZero.toSMulZeroClass.{u6, u5} R M₂ (MonoidWithZero.toZero.{u6} R (Semiring.toMonoidWithZero.{u6} R _inst_1)) (AddMonoid.toZero.{u5} M₂ (AddCommMonoid.toAddMonoid.{u5} M₂ _inst_8)) (MulActionWithZero.toSMulWithZero.{u6, u5} R M₂ (Semiring.toMonoidWithZero.{u6} R _inst_1) (AddMonoid.toZero.{u5} M₂ (AddCommMonoid.toAddMonoid.{u5} M₂ _inst_8)) (Module.toMulActionWithZero.{u6, u5} R M₂ _inst_1 _inst_8 _inst_20))))) r x)) N₂ (fun (_x : N₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N₂) => P₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u6, u6, u5, max u4 u3} R R _inst_1 _inst_1 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R _inst_1)) M₂ (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23) _inst_8 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂) _inst_20 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂ _inst_1 _inst_22 _inst_33)) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₂) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23) _x) (LinearMap.instFunLikeLinearMap.{u6, u6, u5, max u3 u4} R R M₂ (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23) _inst_1 _inst_1 _inst_8 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂) _inst_20 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂ _inst_1 _inst_22 _inst_33) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R _inst_1))) f (HSMul.hSMul.{u6, u5, u5} R M₂ M₂ (instHSMul.{u6, u5} R M₂ (SMulZeroClass.toSMul.{u6, u5} R M₂ (AddMonoid.toZero.{u5} M₂ (AddCommMonoid.toAddMonoid.{u5} M₂ _inst_8)) (SMulWithZero.toSMulZeroClass.{u6, u5} R M₂ (MonoidWithZero.toZero.{u6} R (Semiring.toMonoidWithZero.{u6} R _inst_1)) (AddMonoid.toZero.{u5} M₂ (AddCommMonoid.toAddMonoid.{u5} M₂ _inst_8)) (MulActionWithZero.toSMulWithZero.{u6, u5} R M₂ (Semiring.toMonoidWithZero.{u6} R _inst_1) (AddMonoid.toZero.{u5} M₂ (AddCommMonoid.toAddMonoid.{u5} M₂ _inst_8)) (Module.toMulActionWithZero.{u6, u5} R M₂ _inst_1 _inst_8 _inst_20))))) r x)) y) (HSMul.hSMul.{u6, u4, u4} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N₂) => P₂) y) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N₂) => P₂) y) (instHSMul.{u6, u4} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N₂) => P₂) y) (SMulZeroClass.toSMul.{u6, u4} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N₂) => P₂) y) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N₂) => P₂) y) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N₂) => P₂) y) _inst_10)) (SMulWithZero.toSMulZeroClass.{u6, u4} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N₂) => P₂) y) (MonoidWithZero.toZero.{u6} R (Semiring.toMonoidWithZero.{u6} R _inst_1)) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N₂) => P₂) y) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N₂) => P₂) y) _inst_10)) (MulActionWithZero.toSMulWithZero.{u6, u4} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N₂) => P₂) y) (Semiring.toMonoidWithZero.{u6} R _inst_1) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N₂) => P₂) y) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N₂) => P₂) y) _inst_10)) (Module.toMulActionWithZero.{u6, u4} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N₂) => P₂) y) _inst_1 _inst_10 _inst_22))))) r (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₂) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23) x) N₂ (fun (_x : N₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N₂) => P₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u6, u6, u5, max u4 u3} R R _inst_1 _inst_1 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R _inst_1)) M₂ (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23) _inst_8 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂) _inst_20 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂ _inst_1 _inst_22 _inst_33)) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₂) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23) _x) (LinearMap.instFunLikeLinearMap.{u6, u6, u5, max u3 u4} R R M₂ (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23) _inst_1 _inst_1 _inst_8 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂) _inst_20 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂ _inst_1 _inst_22 _inst_33) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R _inst_1))) f x) y))
 Case conversion may be inaccurate. Consider using '#align linear_map.map_smul₂ LinearMap.map_smul₂ₓ'. -/
 theorem map_smul₂ (f : M₂ →ₗ[R] N₂ →ₛₗ[σ₁₂] P₂) (r : R) (x y) : f (r • x) y = r • f x y :=
   (flip f y).map_smul _ _
@@ -270,7 +270,7 @@ theorem map_smul₂ (f : M₂ →ₗ[R] N₂ →ₛₗ[σ₁₂] P₂) (r : R) (
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} (f : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (r : R) (x : M) (y : N), Eq.{succ u7} P (coeFn.{max (succ u6) (succ u7), max (succ u6) (succ u7)} (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (fun (_x : LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 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 but is expected to have type
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_inst_7)) (Module.toMulActionWithZero.{u6, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) r) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) y) _inst_3 _inst_7 _inst_18))))) (FunLike.coe.{max (succ u7) (succ u6), succ u7, succ u6} (RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) _x) (MulHomClass.toFunLike.{max u7 u6, u7, u6} (RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)) R R₂ (NonUnitalNonAssocSemiring.toMul.{u7} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u7} R (Semiring.toNonAssocSemiring.{u7} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u6} R₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u6} R₂ (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u7 u6, u7, u6} (RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)) R R₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u7} R (Semiring.toNonAssocSemiring.{u7} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u6} R₂ (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u7 u6, u7, u6} (RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)) R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3) (RingHom.instRingHomClassRingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3))))) ρ₁₂ r) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) x) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f x) y))
+  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (r : R) (x : M) (y : N), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (HSMul.hSMul.{u7, u5, u5} R M M (instHSMul.{u7, u5} R M (SMulZeroClass.toSMul.{u7, u5} R M (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)) (SMulWithZero.toSMulZeroClass.{u7, u5} R M (MonoidWithZero.toZero.{u7} R (Semiring.toMonoidWithZero.{u7} R _inst_1)) (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)) (MulActionWithZero.toSMulWithZero.{u7, u5} R M (Semiring.toMonoidWithZero.{u7} R _inst_1) (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)) (Module.toMulActionWithZero.{u7, u5} R M _inst_1 _inst_5 _inst_16))))) r x)) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f (HSMul.hSMul.{u7, u5, u5} R M M (instHSMul.{u7, u5} R M (SMulZeroClass.toSMul.{u7, u5} R M (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)) (SMulWithZero.toSMulZeroClass.{u7, u5} R M (MonoidWithZero.toZero.{u7} R (Semiring.toMonoidWithZero.{u7} R _inst_1)) (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)) (MulActionWithZero.toSMulWithZero.{u7, u5} R M (Semiring.toMonoidWithZero.{u7} R _inst_1) (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)) (Module.toMulActionWithZero.{u7, u5} R M _inst_1 _inst_5 _inst_16))))) r x)) y) (HSMul.hSMul.{u6, u4, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) r) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) y) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) y) (instHSMul.{u6, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) r) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) y) (SMulZeroClass.toSMul.{u6, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) r) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) y) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) y) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) y) _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) r) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) y) (MonoidWithZero.toZero.{u6} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) r) (Semiring.toMonoidWithZero.{u6} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) r) _inst_3)) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) y) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) y) _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) r) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) y) (Semiring.toMonoidWithZero.{u6} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) r) _inst_3) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) y) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) y) _inst_7)) (Module.toMulActionWithZero.{u6, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) r) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) y) _inst_3 _inst_7 _inst_18))))) (FunLike.coe.{max (succ u7) (succ u6), succ u7, succ u6} (RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) _x) (MulHomClass.toFunLike.{max u7 u6, u7, u6} (RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)) R R₂ (NonUnitalNonAssocSemiring.toMul.{u7} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u7} R (Semiring.toNonAssocSemiring.{u7} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u6} R₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u6} R₂ (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u7 u6, u7, u6} (RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)) R R₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u7} R (Semiring.toNonAssocSemiring.{u7} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u6} R₂ (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u7 u6, u7, u6} (RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)) R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3) (RingHom.instRingHomClassRingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3))))) ρ₁₂ r) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) x) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f x) y))
 Case conversion may be inaccurate. Consider using '#align linear_map.map_smulₛₗ₂ LinearMap.map_smulₛₗ₂ₓ'. -/
 theorem map_smulₛₗ₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (r : R) (x y) : f (r • x) y = ρ₁₂ r • f x y :=
   (flip f y).map_smulₛₗ _ _
@@ -280,7 +280,7 @@ theorem map_smulₛₗ₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (r
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) 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 but is expected to have type
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+  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} {ι : Type.{u8}} (f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ 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R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f (Finset.sum.{u5, u8} M ι _inst_5 t (fun (i : ι) => x i))) y) (Finset.sum.{u4, u8} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) y) ι _inst_7 t (fun (i : ι) => FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (x i)) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f (x i)) y))
 Case conversion may be inaccurate. Consider using '#align linear_map.map_sum₂ LinearMap.map_sum₂ₓ'. -/
 theorem map_sum₂ {ι : Type _} (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (t : Finset ι) (x : ι → M) (y) :
     f (∑ i in t, x i) y = ∑ i in t, f (x i) y :=
@@ -302,7 +302,7 @@ def domRestrict₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (q : Subm
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} (f : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (q : Submodule.{u2, u6} S N _inst_2 _inst_6 _inst_17) (x : M) (y : coeSort.{succ u6, succ (succ u6)} (Submodule.{u2, u6} S N _inst_2 _inst_6 _inst_17) Type.{u6} (SetLike.hasCoeToSort.{u6, u6} (Submodule.{u2, u6} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u6} 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 but is expected to have type
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+  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (q : Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (x : M) (y : Subtype.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17)) x q)), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : Subtype.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17)) x q)) => P) y) 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u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17)) x q)) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : Subtype.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17)) x q)) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ (Subtype.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17)) x q)) P _inst_2 _inst_4 (Submodule.addCommMonoid.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_7 (Submodule.module.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, 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_inst_6 _inst_17 q) _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ (Subtype.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17)) x q)) P _inst_2 _inst_4 (Submodule.addCommMonoid.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_7 (Submodule.module.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ (Subtype.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17)) x q)) P (Submodule.addCommMonoid.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_7 (Submodule.module.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ (Subtype.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17)) x q)) P (Submodule.addCommMonoid.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_7 (Submodule.module.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ (Subtype.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17)) x q)) P _inst_2 _inst_4 (Submodule.addCommMonoid.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_7 (Submodule.module.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ (Subtype.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17)) x q)) P _inst_2 _inst_4 (Submodule.addCommMonoid.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_7 (Submodule.module.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) (LinearMap.domRestrict₂.{u7, u2, u6, u1, u5, u3, u4} R _inst_1 S _inst_2 R₂ _inst_3 S₂ _inst_4 M N P _inst_5 _inst_6 _inst_7 _inst_16 _inst_17 _inst_18 _inst_19 _inst_30 ρ₁₂ σ₁₂ f q) x) y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) x) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f x) (Subtype.val.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Set.{u3} N) (Set.instMembershipSet.{u3} N) x (SetLike.coe.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17) q)) y))
 Case conversion may be inaccurate. Consider using '#align linear_map.dom_restrict₂_apply LinearMap.domRestrict₂_applyₓ'. -/
 theorem domRestrict₂_apply (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (q : Submodule S N) (x : M) (y : q) :
     f.domRestrict₂ q x y = f x y :=
@@ -321,7 +321,7 @@ def domRestrict₁₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (p : S
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P 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 but is expected to have type
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(AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 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+  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (p : Submodule.{u7, u5} R M _inst_1 _inst_5 _inst_16) (q : Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (x : Subtype.{succ u5} M (fun (x : M) => Membership.mem.{u5, u5} M (Submodule.{u7, u5} R M _inst_1 _inst_5 _inst_16) (SetLike.instMembership.{u5, u5} (Submodule.{u7, u5} R M _inst_1 _inst_5 _inst_16) M (Submodule.setLike.{u7, u5} R M _inst_1 _inst_5 _inst_16)) x p)) (y : Subtype.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17)) x q)), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : Subtype.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17)) x q)) => P) y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : Subtype.{succ u5} M (fun (x : M) => Membership.mem.{u5, u5} M (Submodule.{u7, u5} R M _inst_1 _inst_5 _inst_16) (SetLike.instMembership.{u5, u5} (Submodule.{u7, u5} R M _inst_1 _inst_5 _inst_16) M (Submodule.setLike.{u7, u5} R M _inst_1 _inst_5 _inst_16)) x p)) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ (Subtype.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 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(Submodule.setLike.{u7, u5} R M _inst_1 _inst_5 _inst_16)) x p)) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : Subtype.{succ u5} M (fun (x : M) => Membership.mem.{u5, u5} M (Submodule.{u7, u5} R M _inst_1 _inst_5 _inst_16) (SetLike.instMembership.{u5, u5} (Submodule.{u7, u5} R M _inst_1 _inst_5 _inst_16) M (Submodule.setLike.{u7, u5} R M _inst_1 _inst_5 _inst_16)) x p)) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ (Subtype.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17)) x q)) P (Submodule.addCommMonoid.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_7 (Submodule.module.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ (Subtype.{succ u5} M (fun (x : M) => Membership.mem.{u5, u5} M (Submodule.{u7, u5} R M 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_inst_2 _inst_6 _inst_17)) x q)) P _inst_2 _inst_4 (Submodule.addCommMonoid.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_7 (Submodule.module.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_19 σ₁₂) (Submodule.module.{u7, u5} R M _inst_1 _inst_5 _inst_16 p) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ (Subtype.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17)) x q)) P _inst_2 _inst_4 (Submodule.addCommMonoid.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_7 (Submodule.module.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) (LinearMap.domRestrict₁₂.{u7, u2, u6, u1, u5, u3, u4} R _inst_1 S _inst_2 R₂ _inst_3 S₂ _inst_4 M N P _inst_5 _inst_6 _inst_7 _inst_16 _inst_17 _inst_18 _inst_19 _inst_30 ρ₁₂ σ₁₂ f p q) x) y) (FunLike.coe.{max 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(Submodule.setLike.{u7, u5} R M _inst_1 _inst_5 _inst_16) p)) x)) (Subtype.val.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Set.{u3} N) (Set.instMembershipSet.{u3} N) x (SetLike.coe.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17) q)) y))
 Case conversion may be inaccurate. Consider using '#align linear_map.dom_restrict₁₂_apply LinearMap.domRestrict₁₂_applyₓ'. -/
 theorem domRestrict₁₂_apply (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (p : Submodule R M) (q : Submodule S N)
     (x : p) (y : q) : f.domRestrict₁₂ p q x y = f x y :=
@@ -378,7 +378,7 @@ def mk₂ (f : M → Nₗ → Pₗ) (H1 : ∀ m₁ m₂ n, f (m₁ + m₂) n = f
 lean 3 declaration is
   forall (R : Type.{u1}) [_inst_1 : CommSemiring.{u1} R] {M : Type.{u2}} {Nₗ : Type.{u3}} {Pₗ : Type.{u4}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_19 : Module.{u1, u3} R Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10] [_inst_20 : Module.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11] (f : M -> Nₗ -> Pₗ) {H1 : forall (m₁ : M) (m₂ : M) (n : Nₗ), Eq.{succ u4} Pₗ (f (HAdd.hAdd.{u2, u2, u2} M M M (instHAdd.{u2} M (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u4, u4, u4} Pₗ Pₗ Pₗ (instHAdd.{u4} Pₗ (AddZeroClass.toHasAdd.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)))) (f m₁ n) (f m₂ n))} {H2 : forall (c : R) (m : M) (n : Nₗ), Eq.{succ u4} Pₗ (f (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_5))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5))) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_14)))) c m) n) (SMul.smul.{u1, u4} R Pₗ (SMulZeroClass.toHasSmul.{u1, u4} R Pₗ (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (SMulWithZero.toSmulZeroClass.{u1, u4} R Pₗ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u4} R Pₗ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (Module.toMulActionWithZero.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11 _inst_20)))) c (f m n))} {H3 : forall (m : M) (n₁ : Nₗ) (n₂ : Nₗ), Eq.{succ u4} Pₗ (f m (HAdd.hAdd.{u3, u3, u3} Nₗ Nₗ Nₗ (instHAdd.{u3} Nₗ (AddZeroClass.toHasAdd.{u3} Nₗ (AddMonoid.toAddZeroClass.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10)))) n₁ n₂)) (HAdd.hAdd.{u4, u4, u4} Pₗ Pₗ Pₗ (instHAdd.{u4} Pₗ (AddZeroClass.toHasAdd.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)))) (f m n₁) (f m n₂))} {H4 : forall (c : R) (m : M) (n : Nₗ), Eq.{succ u4} Pₗ (f m (SMul.smul.{u1, u3} R Nₗ (SMulZeroClass.toHasSmul.{u1, u3} R Nₗ (AddZeroClass.toHasZero.{u3} Nₗ (AddMonoid.toAddZeroClass.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10))) (SMulWithZero.toSmulZeroClass.{u1, u3} R Nₗ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} Nₗ (AddMonoid.toAddZeroClass.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10))) (MulActionWithZero.toSMulWithZero.{u1, u3} R Nₗ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} Nₗ (AddMonoid.toAddZeroClass.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10))) (Module.toMulActionWithZero.{u1, u3} R Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_19)))) c n)) (SMul.smul.{u1, u4} R Pₗ (SMulZeroClass.toHasSmul.{u1, u4} R Pₗ (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (SMulWithZero.toSmulZeroClass.{u1, u4} R Pₗ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u4} R Pₗ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (Module.toMulActionWithZero.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11 _inst_20)))) c (f m n))} (m : M) (n : Nₗ), Eq.{succ u4} Pₗ (coeFn.{max (succ 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(CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_5 (LinearMap.addCommMonoid.{u1, u1, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_14 (LinearMap.module.{u1, u1, u1, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.mk₂._proof_1.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20))) (fun (_x : LinearMap.{u1, u1, u2, max u3 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_5 (LinearMap.addCommMonoid.{u1, u1, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_14 (LinearMap.module.{u1, u1, u1, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.mk₂._proof_1.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20))) => M -> (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20)) (LinearMap.hasCoeToFun.{u1, u1, u2, max u3 u4} R R M (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 (LinearMap.addCommMonoid.{u1, u1, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_14 (LinearMap.module.{u1, u1, u1, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.mk₂._proof_1.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.mk₂.{u1, u2, u3, u4} R _inst_1 M Nₗ Pₗ _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20 f H1 H2 H3 H4) m) n) (f m n)
 but is expected to have type
-  forall (R : Type.{u2}) [_inst_1 : CommSemiring.{u2} R] {M : Type.{u3}} {Nₗ : Type.{u1}} {Pₗ : Type.{u4}} [_inst_5 : AddCommMonoid.{u3} M] [_inst_10 : AddCommMonoid.{u1} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_14 : Module.{u2, u3} R M (CommSemiring.toSemiring.{u2} R _inst_1) _inst_5] [_inst_19 : Module.{u2, u1} R Nₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10] [_inst_20 : Module.{u2, u4} R Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_11] (f : M -> Nₗ -> Pₗ) {H1 : forall (m₁ : M) (m₂ : M) (n : Nₗ), Eq.{succ u4} Pₗ (f (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u4, u4, u4} Pₗ Pₗ Pₗ (instHAdd.{u4} Pₗ (AddZeroClass.toAdd.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)))) (f m₁ n) (f m₂ n))} {H2 : forall (c : R) (m : M) (n : Nₗ), Eq.{succ u4} Pₗ (f (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_5)) (SMulWithZero.toSMulZeroClass.{u2, u3} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_5)) (MulActionWithZero.toSMulWithZero.{u2, u3} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_5)) (Module.toMulActionWithZero.{u2, u3} R M (CommSemiring.toSemiring.{u2} R _inst_1) _inst_5 _inst_14))))) c m) n) (HSMul.hSMul.{u2, u4, u4} R Pₗ Pₗ (instHSMul.{u2, u4} R Pₗ (SMulZeroClass.toSMul.{u2, u4} R Pₗ (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (SMulWithZero.toSMulZeroClass.{u2, u4} R Pₗ (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (MulActionWithZero.toSMulWithZero.{u2, u4} R Pₗ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u2, u4} R Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_11 _inst_20))))) c (f m n))} {H3 : forall (m : M) (n₁ : Nₗ) (n₂ : Nₗ), Eq.{succ u4} Pₗ (f m (HAdd.hAdd.{u1, u1, u1} Nₗ Nₗ Nₗ (instHAdd.{u1} Nₗ (AddZeroClass.toAdd.{u1} Nₗ (AddMonoid.toAddZeroClass.{u1} Nₗ (AddCommMonoid.toAddMonoid.{u1} Nₗ _inst_10)))) n₁ n₂)) (HAdd.hAdd.{u4, u4, u4} Pₗ Pₗ Pₗ (instHAdd.{u4} Pₗ (AddZeroClass.toAdd.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)))) (f m n₁) (f m n₂))} {H4 : forall (c : R) (m : M) (n : Nₗ), Eq.{succ u4} Pₗ (f m (HSMul.hSMul.{u2, u1, u1} R Nₗ Nₗ (instHSMul.{u2, u1} R Nₗ (SMulZeroClass.toSMul.{u2, u1} R Nₗ (AddMonoid.toZero.{u1} Nₗ (AddCommMonoid.toAddMonoid.{u1} Nₗ _inst_10)) (SMulWithZero.toSMulZeroClass.{u2, u1} R Nₗ (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u1} Nₗ (AddCommMonoid.toAddMonoid.{u1} Nₗ _inst_10)) (MulActionWithZero.toSMulWithZero.{u2, u1} R Nₗ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u1} Nₗ (AddCommMonoid.toAddMonoid.{u1} Nₗ _inst_10)) (Module.toMulActionWithZero.{u2, u1} R Nₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_19))))) c n)) (HSMul.hSMul.{u2, u4, u4} R Pₗ Pₗ (instHSMul.{u2, u4} R Pₗ (SMulZeroClass.toSMul.{u2, u4} R Pₗ (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (SMulWithZero.toSMulZeroClass.{u2, u4} R Pₗ (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (MulActionWithZero.toSMulWithZero.{u2, u4} R Pₗ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u2, u4} R Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_11 _inst_20))))) c (f m n))} (m : M) (n : Nₗ), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : Nₗ) => Pₗ) n) (FunLike.coe.{max (succ u1) (succ u4), succ u1, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u2, u1, u4} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) m) Nₗ (fun (_x : Nₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : Nₗ) => Pₗ) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u4), succ u3, max (succ u1) (succ u4)} (LinearMap.{u2, u2, u3, max u4 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) M (LinearMap.{u2, u2, u1, u4} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_5 (LinearMap.addCommMonoid.{u2, u2, u1, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_20 (smulCommClass_self.{u2, u4} R Pₗ (CommSemiring.toCommMonoid.{u2} R _inst_1) (MulActionWithZero.toMulAction.{u2, u4} R Pₗ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u2, u4} R Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_11 _inst_20))))) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u2, u1, u4} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u3, max u1 u4} R R M (LinearMap.{u2, u2, u1, u4} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_5 (LinearMap.addCommMonoid.{u2, u2, u1, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_20 (smulCommClass_self.{u2, u4} R Pₗ (CommSemiring.toCommMonoid.{u2} R _inst_1) (MulActionWithZero.toMulAction.{u2, u4} R Pₗ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u2, u4} R Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (LinearMap.mk₂.{u2, u3, u1, u4} R _inst_1 M Nₗ Pₗ _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20 f H1 H2 H3 H4) m) n) (f m n)
+  forall (R : Type.{u2}) [_inst_1 : CommSemiring.{u2} R] {M : Type.{u3}} {Nₗ : Type.{u1}} {Pₗ : Type.{u4}} [_inst_5 : AddCommMonoid.{u3} M] [_inst_10 : AddCommMonoid.{u1} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_14 : Module.{u2, u3} R M (CommSemiring.toSemiring.{u2} R _inst_1) _inst_5] [_inst_19 : Module.{u2, u1} R Nₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10] [_inst_20 : Module.{u2, u4} R Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_11] (f : M -> Nₗ -> Pₗ) {H1 : forall (m₁ : M) (m₂ : M) (n : Nₗ), Eq.{succ u4} Pₗ (f (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u4, u4, u4} Pₗ Pₗ Pₗ (instHAdd.{u4} Pₗ (AddZeroClass.toAdd.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)))) (f m₁ n) (f m₂ n))} {H2 : forall (c : R) (m : M) (n : Nₗ), Eq.{succ u4} Pₗ (f (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_5)) (SMulWithZero.toSMulZeroClass.{u2, u3} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_5)) (MulActionWithZero.toSMulWithZero.{u2, u3} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_5)) (Module.toMulActionWithZero.{u2, u3} R M (CommSemiring.toSemiring.{u2} R _inst_1) _inst_5 _inst_14))))) c m) n) (HSMul.hSMul.{u2, u4, u4} R Pₗ Pₗ (instHSMul.{u2, u4} R Pₗ (SMulZeroClass.toSMul.{u2, u4} R Pₗ (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (SMulWithZero.toSMulZeroClass.{u2, u4} R Pₗ (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (MulActionWithZero.toSMulWithZero.{u2, u4} R Pₗ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u2, u4} R Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_11 _inst_20))))) c (f m n))} {H3 : forall (m : M) (n₁ : Nₗ) (n₂ : Nₗ), Eq.{succ u4} Pₗ (f m (HAdd.hAdd.{u1, u1, u1} Nₗ Nₗ Nₗ (instHAdd.{u1} Nₗ (AddZeroClass.toAdd.{u1} Nₗ (AddMonoid.toAddZeroClass.{u1} Nₗ (AddCommMonoid.toAddMonoid.{u1} Nₗ _inst_10)))) n₁ n₂)) (HAdd.hAdd.{u4, u4, u4} Pₗ Pₗ Pₗ (instHAdd.{u4} Pₗ (AddZeroClass.toAdd.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)))) (f m n₁) (f m n₂))} {H4 : forall (c : R) (m : M) (n : Nₗ), Eq.{succ u4} Pₗ (f m (HSMul.hSMul.{u2, u1, u1} R Nₗ Nₗ (instHSMul.{u2, u1} R Nₗ (SMulZeroClass.toSMul.{u2, u1} R Nₗ (AddMonoid.toZero.{u1} Nₗ (AddCommMonoid.toAddMonoid.{u1} Nₗ _inst_10)) (SMulWithZero.toSMulZeroClass.{u2, u1} R Nₗ (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u1} Nₗ (AddCommMonoid.toAddMonoid.{u1} Nₗ _inst_10)) (MulActionWithZero.toSMulWithZero.{u2, u1} R Nₗ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u1} Nₗ (AddCommMonoid.toAddMonoid.{u1} Nₗ _inst_10)) (Module.toMulActionWithZero.{u2, u1} R Nₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_19))))) c n)) (HSMul.hSMul.{u2, u4, u4} R Pₗ Pₗ (instHSMul.{u2, u4} R Pₗ (SMulZeroClass.toSMul.{u2, u4} R Pₗ (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (SMulWithZero.toSMulZeroClass.{u2, u4} R Pₗ (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (MulActionWithZero.toSMulWithZero.{u2, u4} R Pₗ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u2, u4} R Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_11 _inst_20))))) c (f m n))} (m : M) (n : Nₗ), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : Nₗ) => Pₗ) n) (FunLike.coe.{max (succ u1) (succ u4), succ u1, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u2, u1, u4} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) m) Nₗ (fun (_x : Nₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : Nₗ) => Pₗ) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u4), succ u3, max (succ u1) (succ u4)} (LinearMap.{u2, u2, u3, max u4 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) M (LinearMap.{u2, u2, u1, u4} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_5 (LinearMap.addCommMonoid.{u2, u2, u1, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_20 (smulCommClass_self.{u2, u4} R Pₗ (CommSemiring.toCommMonoid.{u2} R _inst_1) (MulActionWithZero.toMulAction.{u2, u4} R Pₗ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u2, u4} R Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_11 _inst_20))))) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u2, u2, u1, u4} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u3, max u1 u4} R R M (LinearMap.{u2, u2, u1, u4} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_5 (LinearMap.addCommMonoid.{u2, u2, u1, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_20 (smulCommClass_self.{u2, u4} R Pₗ (CommSemiring.toCommMonoid.{u2} R _inst_1) (MulActionWithZero.toMulAction.{u2, u4} R Pₗ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u2, u4} R Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (LinearMap.mk₂.{u2, u3, u1, u4} R _inst_1 M Nₗ Pₗ _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20 f H1 H2 H3 H4) m) n) (f m n)
 Case conversion may be inaccurate. Consider using '#align linear_map.mk₂_apply LinearMap.mk₂_applyₓ'. -/
 @[simp]
 theorem mk₂_apply (f : M → Nₗ → Pₗ) {H1 H2 H3 H4} (m : M) (n : Nₗ) :
@@ -407,7 +407,7 @@ variable (f : M →ₛₗ[σ₁₃] N →ₛₗ[σ₂₃] P)
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {R₂ : Type.{u2}} [_inst_2 : CommSemiring.{u2} R₂] {R₃ : Type.{u3}} [_inst_3 : CommSemiring.{u3} R₃] {M : Type.{u4}} {N : Type.{u5}} {P : Type.{u6}} [_inst_5 : AddCommMonoid.{u4} M] [_inst_6 : AddCommMonoid.{u5} N] [_inst_7 : AddCommMonoid.{u6} P] [_inst_14 : Module.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_15 : Module.{u2, u5} R₂ N (CommSemiring.toSemiring.{u2} R₂ _inst_2) _inst_6] [_inst_16 : Module.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7] {σ₂₃ : RingHom.{u2, u3} R₂ R₃ (Semiring.toNonAssocSemiring.{u2} R₂ (CommSemiring.toSemiring.{u2} R₂ _inst_2)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} {σ₁₃ : RingHom.{u1, u3} R R₃ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} (f : LinearMap.{u1, u3, u4, max u5 u6} R R₃ 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 but is expected to have type
-  forall {R : Type.{u4}} [_inst_1 : CommSemiring.{u4} R] {R₂ : Type.{u1}} [_inst_2 : CommSemiring.{u1} R₂] {R₃ : Type.{u3}} [_inst_3 : CommSemiring.{u3} R₃] {M : Type.{u5}} {N : Type.{u2}} {P : Type.{u6}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u2} N] [_inst_7 : AddCommMonoid.{u6} P] [_inst_14 : Module.{u4, u5} R M (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5] [_inst_15 : Module.{u1, u2} R₂ N (CommSemiring.toSemiring.{u1} R₂ _inst_2) _inst_6] [_inst_16 : Module.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7] {σ₂₃ : RingHom.{u1, u3} R₂ R₃ (Semiring.toNonAssocSemiring.{u1} R₂ (CommSemiring.toSemiring.{u1} R₂ _inst_2)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} {σ₁₃ : RingHom.{u4, u3} R R₃ (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} (f : LinearMap.{u4, u3, u5, max u6 u2} R R₃ 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(CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u3, u3, u2, u6} R₂ R₃ R₃ N P (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_16 (smulCommClass_self.{u3, u6} R₃ P (CommSemiring.toCommMonoid.{u3} R₃ _inst_3) (MulActionWithZero.toMulAction.{u3, u6} R₃ P (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3)) (AddMonoid.toZero.{u6} P (AddCommMonoid.toAddMonoid.{u6} P _inst_7)) (Module.toMulActionWithZero.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7 _inst_16))))) (fun (_x : LinearMap.{u4, u3, u5, max u6 u2} R R₃ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M (LinearMap.{u1, u3, u2, u6} R₂ R₃ (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) _inst_5 (LinearMap.addCommMonoid.{u1, u3, u2, u6} R₂ R₃ N P (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u3, u3, u2, u6} R₂ R₃ R₃ N P (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_16 (smulCommClass_self.{u3, u6} R₃ P (CommSemiring.toCommMonoid.{u3} R₃ _inst_3) (MulActionWithZero.toMulAction.{u3, u6} R₃ P (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3)) (AddMonoid.toZero.{u6} P (AddCommMonoid.toAddMonoid.{u6} P _inst_7)) (Module.toMulActionWithZero.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7 _inst_16))))) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : LinearMap.{u4, u3, u5, max u6 u2} R R₃ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M (LinearMap.{u1, u3, u2, u6} R₂ R₃ (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) _inst_5 (LinearMap.addCommMonoid.{u1, u3, u2, u6} R₂ R₃ N P (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u3, u3, u2, u6} R₂ R₃ R₃ N P (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_16 (smulCommClass_self.{u3, u6} R₃ P (CommSemiring.toCommMonoid.{u3} R₃ _inst_3) (MulActionWithZero.toMulAction.{u3, u6} R₃ P (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3)) (AddMonoid.toZero.{u6} P (AddCommMonoid.toAddMonoid.{u6} P _inst_7)) (Module.toMulActionWithZero.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7 _inst_16))))) => LinearMap.{u1, u3, u2, max u6 u5} R₂ R₃ (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N (LinearMap.{u4, u3, u5, u6} R R₃ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M P _inst_5 _inst_7 _inst_14 _inst_16) _inst_6 (LinearMap.addCommMonoid.{u4, u3, u5, u6} R R₃ M P (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_5 _inst_7 _inst_14 _inst_16 σ₁₃) _inst_15 (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u3, u3, u5, u6} R R₃ R₃ M P (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_5 _inst_7 _inst_14 _inst_16 σ₁₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_16 (smulCommClass_self.{u3, u6} R₃ P (CommSemiring.toCommMonoid.{u3} R₃ _inst_3) (MulActionWithZero.toMulAction.{u3, u6} R₃ P (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3)) (AddMonoid.toZero.{u6} P (AddCommMonoid.toAddMonoid.{u6} P _inst_7)) (Module.toMulActionWithZero.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7 _inst_16))))) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max (max u6 u2) u5, max (max u6 u2) u5} R₃ R₃ (LinearMap.{u4, u3, u5, max u6 u2} R R₃ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M (LinearMap.{u1, u3, u2, u6} R₂ R₃ (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) _inst_5 (LinearMap.addCommMonoid.{u1, u3, u2, u6} R₂ R₃ N P (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u3, u3, u2, u6} R₂ R₃ R₃ N P (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_16 (smulCommClass_self.{u3, u6} R₃ P (CommSemiring.toCommMonoid.{u3} R₃ _inst_3) (MulActionWithZero.toMulAction.{u3, u6} R₃ P (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3)) (AddMonoid.toZero.{u6} P (AddCommMonoid.toAddMonoid.{u6} P _inst_7)) (Module.toMulActionWithZero.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7 _inst_16))))) (LinearMap.{u1, u3, u2, max u6 u5} R₂ R₃ (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N (LinearMap.{u4, u3, u5, u6} R R₃ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M P _inst_5 _inst_7 _inst_14 _inst_16) _inst_6 (LinearMap.addCommMonoid.{u4, u3, u5, u6} R R₃ M P (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_5 _inst_7 _inst_14 _inst_16 σ₁₃) _inst_15 (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u3, u3, u5, u6} R R₃ R₃ M P (CommSemiring.toSemiring.{u4} R _inst_1) 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 Case conversion may be inaccurate. Consider using '#align linear_map.lflip_apply LinearMap.lflip_applyₓ'. -/
 @[simp]
 theorem lflip_apply (m : M) (n : N) : lflip R M N P f n m = f m n :=
@@ -429,7 +429,7 @@ variable {R Pₗ}
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {M : Type.{u2}} {Nₗ : Type.{u3}} {Pₗ : Type.{u4}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_19 : Module.{u1, u3} R Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10] [_inst_20 : Module.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11] (f : LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (g : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (x : M), Eq.{succ u4} 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 but is expected to have type
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R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) f x))
+  forall {R : Type.{u4}} [_inst_1 : CommSemiring.{u4} R] {M : Type.{u3}} {Nₗ : Type.{u2}} {Pₗ : Type.{u1}} [_inst_5 : AddCommMonoid.{u3} M] [_inst_10 : AddCommMonoid.{u2} Nₗ] [_inst_11 : AddCommMonoid.{u1} Pₗ] [_inst_14 : Module.{u4, u3} R M (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5] [_inst_19 : Module.{u4, u2} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10] [_inst_20 : Module.{u4, u1} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11] (f : LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (g : LinearMap.{u4, u4, u2, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (x : M), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => Pₗ) x) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : LinearMap.{u4, u4, u2, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) => LinearMap.{u4, u4, u3, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) g) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => Pₗ) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u1} R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (FunLike.coe.{max (max (succ u3) (succ u2)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (LinearMap.{u4, u4, max u1 u2, max u1 u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (LinearMap.{u4, u4, u2, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (LinearMap.{u4, u4, u3, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (LinearMap.addCommMonoid.{u4, u4, u2, u1} R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} 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R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u1} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u1} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u1} Pₗ (AddCommMonoid.toAddMonoid.{u1} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u1} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.lcomp.{u4, u3, u2, u1} R _inst_1 M Nₗ Pₗ _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20 f) g) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u4, u2, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) Nₗ (fun (_x : Nₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : Nₗ) => Pₗ) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u2, u1} R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) g (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => Nₗ) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) f x))
 Case conversion may be inaccurate. Consider using '#align linear_map.lcomp_apply LinearMap.lcomp_applyₓ'. -/
 @[simp]
 theorem lcomp_apply (f : M →ₗ[R] Nₗ) (g : Nₗ →ₗ[R] Pₗ) (x : M) : lcomp R Pₗ f g x = g (f x) :=
@@ -440,7 +440,7 @@ theorem lcomp_apply (f : M →ₗ[R] Nₗ) (g : Nₗ →ₗ[R] Pₗ) (x : M) : l
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {M : Type.{u2}} {Nₗ : Type.{u3}} {Pₗ : Type.{u4}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_19 : Module.{u1, u3} R Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10] [_inst_20 : Module.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11] (f : LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (g : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20), Eq.{max (succ u2) 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 but is expected to have type
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(CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u1} Pₗ (AddCommMonoid.toAddMonoid.{u1} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u1} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.lcomp.{u4, u3, u2, u1} R _inst_1 M Nₗ Pₗ _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20 f) g) (LinearMap.comp.{u4, u4, u4, u3, u2, u1} R R R M Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHomCompTriple.ids.{u4, u4} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) g f)
+  forall {R : Type.{u4}} [_inst_1 : CommSemiring.{u4} R] {M : Type.{u3}} {Nₗ : Type.{u2}} {Pₗ : Type.{u1}} [_inst_5 : AddCommMonoid.{u3} M] [_inst_10 : AddCommMonoid.{u2} Nₗ] [_inst_11 : AddCommMonoid.{u1} Pₗ] [_inst_14 : Module.{u4, u3} R M (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5] [_inst_19 : Module.{u4, u2} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10] [_inst_20 : Module.{u4, u1} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11] (f : LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (g : LinearMap.{u4, u4, u2, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20), Eq.{max (succ u3) (succ u1)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : LinearMap.{u4, u4, u2, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) => LinearMap.{u4, u4, u3, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) g) (FunLike.coe.{max (max (succ u3) (succ u2)) (succ u1), max (succ u2) (succ u1), max (succ u3) (succ u1)} (LinearMap.{u4, u4, max u1 u2, max u1 u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (LinearMap.{u4, u4, u2, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (LinearMap.{u4, u4, u3, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (LinearMap.addCommMonoid.{u4, u4, u2, u1} R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.addCommMonoid.{u4, u4, u3, u1} R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u2, u1} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u1} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u1} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u1} Pₗ (AddCommMonoid.toAddMonoid.{u1} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u1} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u3, u1} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u1} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u1} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u1} Pₗ (AddCommMonoid.toAddMonoid.{u1} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u1} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))))) (LinearMap.{u4, u4, u2, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (fun (_x : LinearMap.{u4, u4, u2, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : LinearMap.{u4, u4, u2, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) => LinearMap.{u4, u4, u3, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, max u2 u1, max u3 u1} R R (LinearMap.{u4, u4, u2, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (LinearMap.{u4, u4, u3, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (LinearMap.addCommMonoid.{u4, u4, u2, u1} R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.addCommMonoid.{u4, u4, u3, u1} R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u2, u1} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u1} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u1} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u1} Pₗ (AddCommMonoid.toAddMonoid.{u1} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u1} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u3, u1} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u1} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u1} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u1} Pₗ (AddCommMonoid.toAddMonoid.{u1} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u1} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.lcomp.{u4, u3, u2, u1} R _inst_1 M Nₗ Pₗ _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20 f) g) (LinearMap.comp.{u4, u4, u4, u3, u2, u1} R R R M Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHomCompTriple.ids.{u4, u4} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) g f)
 Case conversion may be inaccurate. Consider using '#align linear_map.lcomp_apply' LinearMap.lcomp_apply'ₓ'. -/
 theorem lcomp_apply' (f : M →ₗ[R] Nₗ) (g : Nₗ →ₗ[R] Pₗ) : lcomp R Pₗ f g = g ∘ₗ f :=
   rfl
@@ -464,7 +464,7 @@ include σ₁₃
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {R₂ : Type.{u2}} [_inst_2 : CommSemiring.{u2} R₂] {R₃ : Type.{u3}} [_inst_3 : CommSemiring.{u3} R₃] {M : Type.{u4}} {N : Type.{u5}} {P : Type.{u6}} [_inst_5 : AddCommMonoid.{u4} M] [_inst_6 : AddCommMonoid.{u5} N] [_inst_7 : AddCommMonoid.{u6} P] [_inst_14 : Module.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_15 : Module.{u2, u5} R₂ N (CommSemiring.toSemiring.{u2} R₂ _inst_2) _inst_6] [_inst_16 : Module.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7] {σ₁₂ : RingHom.{u1, u2} R R₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R₂ (CommSemiring.toSemiring.{u2} R₂ _inst_2))} {σ₂₃ : RingHom.{u2, u3} R₂ R₃ (Semiring.toNonAssocSemiring.{u2} R₂ (CommSemiring.toSemiring.{u2} R₂ _inst_2)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} {σ₁₃ : RingHom.{u1, u3} R R₃ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} [_inst_23 : RingHomCompTriple.{u1, u2, u3} R R₂ R₃ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₂ σ₂₃ σ₁₃] (f : LinearMap.{u1, u2, u4, u5} R R₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u2} R₂ _inst_2) σ₁₂ M N _inst_5 _inst_6 _inst_14 _inst_15) (g : LinearMap.{u2, u3, u5, u6} R₂ R₃ (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) (x : M), Eq.{succ u6} P (coeFn.{max (succ u4) (succ u6), max (succ u4) (succ u6)} (LinearMap.{u1, u3, u4, u6} R R₃ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M P _inst_5 _inst_7 _inst_14 _inst_16) (fun (_x : LinearMap.{u1, u3, u4, u6} R R₃ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ 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+  forall {R : Type.{u6}} [_inst_1 : CommSemiring.{u6} R] {R₂ : Type.{u5}} [_inst_2 : CommSemiring.{u5} R₂] {R₃ : Type.{u2}} [_inst_3 : CommSemiring.{u2} R₃] {M : Type.{u4}} {N : Type.{u3}} {P : Type.{u1}} [_inst_5 : AddCommMonoid.{u4} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u1} P] [_inst_14 : Module.{u6, u4} R M (CommSemiring.toSemiring.{u6} R _inst_1) _inst_5] [_inst_15 : Module.{u5, u3} R₂ N (CommSemiring.toSemiring.{u5} R₂ _inst_2) _inst_6] [_inst_16 : Module.{u2, u1} R₃ P (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_7] {σ₁₂ : RingHom.{u6, u5} R R₂ (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)) (Semiring.toNonAssocSemiring.{u5} R₂ (CommSemiring.toSemiring.{u5} R₂ _inst_2))} {σ₂₃ : RingHom.{u5, u2} R₂ R₃ (Semiring.toNonAssocSemiring.{u5} R₂ (CommSemiring.toSemiring.{u5} R₂ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3))} {σ₁₃ : RingHom.{u6, u2} R R₃ (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3))} [_inst_23 : RingHomCompTriple.{u6, u5, u2} R R₂ R₃ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₁₂ σ₂₃ σ₁₃] (f : LinearMap.{u6, u5, u4, u3} R R₂ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u5} R₂ _inst_2) σ₁₂ M N _inst_5 _inst_6 _inst_14 _inst_15) (g : LinearMap.{u5, u2, u3, u1} R₂ R₃ (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) (x : M), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => P) x) (FunLike.coe.{max (succ u4) (succ u1), succ u4, succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : LinearMap.{u5, u2, u3, u1} R₂ R₃ (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) => LinearMap.{u6, u2, u4, u1} R R₃ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₁₃ M P _inst_5 _inst_7 _inst_14 _inst_16) g) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => P) _x) (LinearMap.instFunLikeLinearMap.{u6, u2, u4, u1} R R₃ M P (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_5 _inst_7 _inst_14 _inst_16 σ₁₃) (FunLike.coe.{max (max (succ u4) (succ u3)) (succ u1), max (succ u3) (succ u1), max (succ u4) (succ u1)} (LinearMap.{u2, u2, max u1 u3, max u1 u4} R₃ R₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3) (CommSemiring.toSemiring.{u2} R₃ _inst_3) (RingHom.id.{u2} R₃ (Semiring.toNonAssocSemiring.{u2} R₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3))) (LinearMap.{u5, u2, u3, u1} R₂ R₃ (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) (LinearMap.{u6, u2, u4, u1} R R₃ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₁₃ M P _inst_5 _inst_7 _inst_14 _inst_16) (LinearMap.addCommMonoid.{u5, u2, u3, u1} R₂ R₃ N P (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) (LinearMap.addCommMonoid.{u6, u2, u4, u1} R R₃ M P (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_5 _inst_7 _inst_14 _inst_16 σ₁₃) (LinearMap.instModuleLinearMapAddCommMonoid.{u5, u2, u2, u3, u1} R₂ R₃ R₃ N P (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_16 (smulCommClass_self.{u2, u1} R₃ P (CommSemiring.toCommMonoid.{u2} R₃ _inst_3) (MulActionWithZero.toMulAction.{u2, u1} R₃ P (Semiring.toMonoidWithZero.{u2} R₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3)) (AddMonoid.toZero.{u1} P (AddCommMonoid.toAddMonoid.{u1} P _inst_7)) (Module.toMulActionWithZero.{u2, u1} R₃ P (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_7 _inst_16)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u6, u2, u2, u4, u1} R R₃ R₃ M P (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_5 _inst_7 _inst_14 _inst_16 σ₁₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_16 (smulCommClass_self.{u2, u1} R₃ P (CommSemiring.toCommMonoid.{u2} R₃ _inst_3) (MulActionWithZero.toMulAction.{u2, u1} R₃ P (Semiring.toMonoidWithZero.{u2} R₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3)) (AddMonoid.toZero.{u1} P (AddCommMonoid.toAddMonoid.{u1} P _inst_7)) (Module.toMulActionWithZero.{u2, u1} R₃ P (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_7 _inst_16))))) (LinearMap.{u5, u2, u3, u1} R₂ R₃ (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) (fun (_x : LinearMap.{u5, u2, u3, u1} R₂ R₃ (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : LinearMap.{u5, u2, u3, u1} R₂ R₃ (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) => LinearMap.{u6, u2, u4, u1} R R₃ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₁₃ M P _inst_5 _inst_7 _inst_14 _inst_16) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, max u3 u1, max u4 u1} R₃ R₃ (LinearMap.{u5, u2, u3, u1} R₂ R₃ (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) (LinearMap.{u6, u2, u4, u1} R R₃ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₁₃ M P _inst_5 _inst_7 _inst_14 _inst_16) (CommSemiring.toSemiring.{u2} R₃ _inst_3) (CommSemiring.toSemiring.{u2} R₃ _inst_3) (LinearMap.addCommMonoid.{u5, u2, u3, u1} R₂ R₃ N P (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) (LinearMap.addCommMonoid.{u6, u2, u4, u1} R R₃ M P (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_5 _inst_7 _inst_14 _inst_16 σ₁₃) (LinearMap.instModuleLinearMapAddCommMonoid.{u5, u2, u2, u3, u1} R₂ R₃ R₃ N P (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_16 (smulCommClass_self.{u2, u1} R₃ P (CommSemiring.toCommMonoid.{u2} R₃ _inst_3) (MulActionWithZero.toMulAction.{u2, u1} R₃ P (Semiring.toMonoidWithZero.{u2} R₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3)) (AddMonoid.toZero.{u1} P (AddCommMonoid.toAddMonoid.{u1} P _inst_7)) (Module.toMulActionWithZero.{u2, u1} R₃ P (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_7 _inst_16)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u6, u2, u2, u4, u1} R R₃ R₃ M P (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_5 _inst_7 _inst_14 _inst_16 σ₁₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_16 (smulCommClass_self.{u2, u1} R₃ P (CommSemiring.toCommMonoid.{u2} R₃ _inst_3) (MulActionWithZero.toMulAction.{u2, u1} R₃ P (Semiring.toMonoidWithZero.{u2} R₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3)) (AddMonoid.toZero.{u1} P (AddCommMonoid.toAddMonoid.{u1} P _inst_7)) (Module.toMulActionWithZero.{u2, u1} R₃ P (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_7 _inst_16)))) (RingHom.id.{u2} R₃ (Semiring.toNonAssocSemiring.{u2} R₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3)))) (LinearMap.lcompₛₗ.{u6, u5, u2, u4, u3, u1} R _inst_1 R₂ _inst_2 R₃ _inst_3 M N P _inst_5 _inst_6 _inst_7 _inst_14 _inst_15 _inst_16 σ₁₂ σ₂₃ σ₁₃ _inst_23 f) g) x) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (LinearMap.{u5, u2, u3, u1} R₂ R₃ (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u5, u2, u3, u1} R₂ R₃ N P (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) g (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearMap.{u6, u5, u4, u3} R R₂ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u5} R₂ _inst_2) σ₁₂ M N _inst_5 _inst_6 _inst_14 _inst_15) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => N) _x) (LinearMap.instFunLikeLinearMap.{u6, u5, u4, u3} R R₂ M N (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u5} R₂ _inst_2) _inst_5 _inst_6 _inst_14 _inst_15 σ₁₂) f x))
 Case conversion may be inaccurate. Consider using '#align linear_map.lcompₛₗ_apply LinearMap.lcompₛₗ_applyₓ'. -/
 @[simp]
 theorem lcompₛₗ_apply (f : M →ₛₗ[σ₁₂] N) (g : N →ₛₗ[σ₂₃] P) (x : M) :
@@ -494,7 +494,7 @@ section
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {M : Type.{u2}} {Nₗ : Type.{u3}} {Pₗ : Type.{u4}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_19 : Module.{u1, u3} R Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10] [_inst_20 : Module.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11] (f : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (g : LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (x : M), Eq.{succ u4} Pₗ (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (LinearMap.{u1, u1, u2, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (fun (_x : LinearMap.{u1, u1, u2, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) => M -> Pₗ) (LinearMap.hasCoeToFun.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeFn.{max (succ (max u2 u3)) (succ (max u2 u4)), max (succ (max u2 u3)) (succ (max u2 u4))} (LinearMap.{u1, u1, max u2 u3, max u2 u4} R R 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(CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u2, u3} R R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_19 (LinearMap.llcomp._proof_1.{u1, u3} R _inst_1 Nₗ _inst_10 _inst_19)) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_3.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)) (LinearMap.module.{u1, u1, u1, max u2 u3, max u2 u4} R R R (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u1, u1, u2, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u2, u3} R R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_19 (LinearMap.llcomp._proof_1.{u1, u3} R _inst_1 Nₗ _inst_10 _inst_19)) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)) (LinearMap.llcomp._proof_4.{u1, u4, u2} R _inst_1 M Pₗ _inst_5 _inst_11 _inst_14 _inst_20))) => (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) -> (LinearMap.{u1, u1, max u2 u3, max u2 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u1, u1, u2, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u2, u3} R R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_19 (LinearMap.llcomp._proof_1.{u1, u3} R _inst_1 Nₗ _inst_10 _inst_19)) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)))) (LinearMap.hasCoeToFun.{u1, u1, max u3 u4, max (max u2 u3) u2 u4} R R (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (LinearMap.{u1, u1, max u2 u3, max u2 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u1, u1, u2, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u2, u3} R R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_19 (LinearMap.llcomp._proof_1.{u1, u3} R _inst_1 Nₗ _inst_10 _inst_19)) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20))) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.addCommMonoid.{u1, u1, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, max u2 u3, max u2 u4} R R (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u1, u1, u2, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u2, u3} R R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R 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R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (LinearMap.instSMulCommClassLinearMapInstSMulLinearMapInstSMulLinearMap.{u4, u4, u4, u4, u1, u2} R R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toDistribMulAction.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toDistribMulAction.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.llcomp.{u4, u1, u3, u2} R _inst_1 M Nₗ Pₗ _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20) f) g) x) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) Nₗ (fun (_x : Nₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : Nₗ) => Pₗ) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) f (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u4, u4, u1, u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => Nₗ) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u1, u3} R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) g x))
+  forall {R : Type.{u4}} [_inst_1 : CommSemiring.{u4} R] {M : Type.{u1}} {Nₗ : Type.{u3}} {Pₗ : Type.{u2}} [_inst_5 : AddCommMonoid.{u1} M] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u2} Pₗ] [_inst_14 : Module.{u4, u1} R M (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5] [_inst_19 : Module.{u4, u3} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10] [_inst_20 : Module.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11] (f : LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (g : LinearMap.{u4, u4, u1, u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (x : M), Eq.{succ u2} 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(CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_19)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (LinearMap.instSMulCommClassLinearMapInstSMulLinearMapInstSMulLinearMap.{u4, u4, u4, u4, u1, u2} R R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toDistribMulAction.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toDistribMulAction.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))))) (LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (fun (_x : LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) => LinearMap.{u4, u4, max u3 u1, max u2 u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (LinearMap.{u4, u4, u1, u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u4, u4, u1, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (LinearMap.addCommMonoid.{u4, u4, u1, u3} R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.addCommMonoid.{u4, u4, u1, u2} R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u3} R R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_19 (smulCommClass_self.{u4, u3} R Nₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u3} R Nₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10)) (Module.toMulActionWithZero.{u4, u3} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_19)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))))) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, max u3 u2, max (max u1 u3) u2} R R (LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (LinearMap.{u4, u4, max u3 u1, max u2 u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (LinearMap.{u4, u4, u1, u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u4, u4, u1, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (LinearMap.addCommMonoid.{u4, u4, u1, u3} R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.addCommMonoid.{u4, u4, u1, u2} R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u3} R R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_19 (smulCommClass_self.{u4, u3} R Nₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u3} R Nₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10)) (Module.toMulActionWithZero.{u4, u3} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_19)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))))) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (LinearMap.addCommMonoid.{u4, u4, u3, u2} R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.addCommMonoid.{u4, u4, max u1 u3, max u1 u2} R R (LinearMap.{u4, u4, u1, u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u4, u4, u1, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (LinearMap.addCommMonoid.{u4, u4, u1, u3} R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.addCommMonoid.{u4, u4, u1, u2} R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u3} R R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_19 (smulCommClass_self.{u4, u3} R Nₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u3} R Nₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10)) (Module.toMulActionWithZero.{u4, u3} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_19)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u3, u2} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) 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(CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u3} R R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_19 (smulCommClass_self.{u4, u3} R Nₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u3} R Nₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10)) (Module.toMulActionWithZero.{u4, u3} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_19)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (LinearMap.instSMulCommClassLinearMapInstSMulLinearMapInstSMulLinearMap.{u4, u4, u4, u4, u1, u2} R R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toDistribMulAction.{u4, u2} R Pₗ 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_inst_11 _inst_20))) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.llcomp.{u4, u1, u3, u2} R _inst_1 M Nₗ Pₗ _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20) f) g) x) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) Nₗ (fun (_x : Nₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : Nₗ) => Pₗ) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) f (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u4, u4, u1, u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => Nₗ) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u1, u3} R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) g x))
 Case conversion may be inaccurate. Consider using '#align linear_map.llcomp_apply LinearMap.llcomp_applyₓ'. -/
 @[simp]
 theorem llcomp_apply (f : Nₗ →ₗ[R] Pₗ) (g : M →ₗ[R] Nₗ) (x : M) :
@@ -506,7 +506,7 @@ theorem llcomp_apply (f : Nₗ →ₗ[R] Pₗ) (g : M →ₗ[R] Nₗ) (x : M) :
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {M : Type.{u2}} {Nₗ : Type.{u3}} {Pₗ : Type.{u4}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_19 : Module.{u1, u3} R Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10] [_inst_20 : Module.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11] (f : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (g : LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19), Eq.{max (succ u2) 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(CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u2, u3} R R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) 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(CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_3.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)) (LinearMap.module.{u1, u1, u1, max u2 u3, max u2 u4} R R R (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u1, u1, u2, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u2, u3} R R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_19 (LinearMap.llcomp._proof_1.{u1, u3} R _inst_1 Nₗ _inst_10 _inst_19)) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)) (LinearMap.llcomp._proof_4.{u1, u4, u2} R _inst_1 M Pₗ _inst_5 _inst_11 _inst_14 _inst_20))) => (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) -> (LinearMap.{u1, u1, max u2 u3, max u2 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u1, u1, u2, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u2, u3} R R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_19 (LinearMap.llcomp._proof_1.{u1, u3} R _inst_1 Nₗ _inst_10 _inst_19)) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)))) (LinearMap.hasCoeToFun.{u1, u1, max u3 u4, max (max u2 u3) u2 u4} R R (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (LinearMap.{u1, u1, max u2 u3, max u2 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u1, u1, u2, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u2, u3} R R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_19 (LinearMap.llcomp._proof_1.{u1, u3} R _inst_1 Nₗ _inst_10 _inst_19)) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20))) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.addCommMonoid.{u1, u1, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, max u2 u3, max u2 u4} R R (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u1, u1, u2, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u2, u3} R R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_19 (LinearMap.llcomp._proof_1.{u1, u3} R _inst_1 Nₗ _inst_10 _inst_19)) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_3.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)) (LinearMap.module.{u1, u1, u1, max u2 u3, max u2 u4} R R R (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u1, u1, u2, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u2, u3} R R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_19 (LinearMap.llcomp._proof_1.{u1, u3} R _inst_1 Nₗ _inst_10 _inst_19)) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)) (LinearMap.llcomp._proof_4.{u1, u4, u2} R _inst_1 M Pₗ _inst_5 _inst_11 _inst_14 _inst_20)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.llcomp.{u1, u2, u3, u4} R _inst_1 M Nₗ Pₗ _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20) f) g) (LinearMap.comp.{u1, u1, u1, u2, u3, u4} R R R M Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomCompTriple.ids.{u1, u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f g)
 but is expected to have type
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(MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} 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(CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toDistribMulAction.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))))) (LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (fun (_x : LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) => LinearMap.{u4, u4, max u3 u1, max u2 u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) 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(CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))))) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, max u3 u2, max (max u1 u3) u2} R R (LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (LinearMap.{u4, u4, max u3 u1, max u2 u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (LinearMap.{u4, u4, u1, u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u4, u4, u1, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (LinearMap.addCommMonoid.{u4, u4, u1, u3} R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.addCommMonoid.{u4, u4, u1, u2} R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u3} R R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_19 (smulCommClass_self.{u4, u3} R Nₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u3} R Nₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10)) (Module.toMulActionWithZero.{u4, u3} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_19)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))))) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (LinearMap.addCommMonoid.{u4, u4, u3, u2} R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R 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+  forall {R : Type.{u4}} [_inst_1 : CommSemiring.{u4} R] {M : Type.{u1}} {Nₗ : Type.{u3}} {Pₗ : Type.{u2}} [_inst_5 : AddCommMonoid.{u1} M] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u2} Pₗ] [_inst_14 : Module.{u4, u1} R M (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5] [_inst_19 : Module.{u4, u3} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10] [_inst_20 : Module.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11] (f : LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (g : LinearMap.{u4, u4, u1, u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19), Eq.{max (succ u1) 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_inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u3} R R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_19 (smulCommClass_self.{u4, u3} R Nₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u3} R Nₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10)) (Module.toMulActionWithZero.{u4, u3} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_19)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) 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Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u3} R R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_19 (smulCommClass_self.{u4, u3} R Nₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u3} R Nₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10)) (Module.toMulActionWithZero.{u4, u3} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_19)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))))) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (LinearMap.addCommMonoid.{u4, u4, u3, u2} R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.addCommMonoid.{u4, u4, max u1 u3, max u1 u2} R R (LinearMap.{u4, u4, u1, u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u4, u4, u1, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (LinearMap.addCommMonoid.{u4, u4, u1, u3} R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.addCommMonoid.{u4, u4, u1, u2} R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u3} R R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_19 (smulCommClass_self.{u4, u3} R Nₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u3} R Nₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10)) (Module.toMulActionWithZero.{u4, u3} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_19)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u3, u2} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, max u1 u3, max u1 u2} R R R (LinearMap.{u4, u4, u1, u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u4, u4, u1, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (LinearMap.addCommMonoid.{u4, u4, u1, u3} R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.addCommMonoid.{u4, u4, u1, u2} R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u3} R R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_19 (smulCommClass_self.{u4, u3} R Nₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u3} R Nₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10)) (Module.toMulActionWithZero.{u4, u3} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_19)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (LinearMap.instSMulCommClassLinearMapInstSMulLinearMapInstSMulLinearMap.{u4, u4, u4, u4, u1, u2} R R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toDistribMulAction.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toDistribMulAction.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.llcomp.{u4, u1, u3, u2} R _inst_1 M Nₗ Pₗ _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20) f) g) (LinearMap.comp.{u4, u4, u4, u1, u3, u2} R R R M Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHomCompTriple.ids.{u4, u4} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) f g)
 Case conversion may be inaccurate. Consider using '#align linear_map.llcomp_apply' LinearMap.llcomp_apply'ₓ'. -/
 theorem llcomp_apply' (f : Nₗ →ₗ[R] Pₗ) (g : M →ₗ[R] Nₗ) : llcomp R M Nₗ Pₗ f g = f ∘ₗ g :=
   rfl
@@ -528,7 +528,7 @@ include σ₄₃
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {R₂ : Type.{u2}} [_inst_2 : CommSemiring.{u2} R₂] {R₃ : Type.{u3}} [_inst_3 : CommSemiring.{u3} R₃] {R₄ : Type.{u4}} [_inst_4 : CommSemiring.{u4} R₄] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} {Q : Type.{u8}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_8 : AddCommMonoid.{u8} Q] [_inst_14 : Module.{u1, u5} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_15 : Module.{u2, u6} R₂ N (CommSemiring.toSemiring.{u2} R₂ _inst_2) _inst_6] [_inst_16 : Module.{u3, u7} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7] [_inst_17 : Module.{u4, u8} R₄ Q (CommSemiring.toSemiring.{u4} R₄ _inst_4) _inst_8] {σ₂₃ : RingHom.{u2, u3} R₂ R₃ (Semiring.toNonAssocSemiring.{u2} R₂ (CommSemiring.toSemiring.{u2} R₂ _inst_2)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} {σ₁₃ : RingHom.{u1, u3} R R₃ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} {σ₄₂ : RingHom.{u4, u2} R₄ R₂ (Semiring.toNonAssocSemiring.{u4} R₄ (CommSemiring.toSemiring.{u4} R₄ _inst_4)) (Semiring.toNonAssocSemiring.{u2} R₂ (CommSemiring.toSemiring.{u2} R₂ _inst_2))} {σ₄₃ : RingHom.{u4, u3} R₄ R₃ (Semiring.toNonAssocSemiring.{u4} R₄ (CommSemiring.toSemiring.{u4} R₄ _inst_4)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} [_inst_24 : RingHomCompTriple.{u4, u2, u3} R₄ R₂ R₃ (CommSemiring.toSemiring.{u4} R₄ _inst_4) (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₄₂ σ₂₃ σ₄₃] (f : LinearMap.{u1, u3, u5, max u6 u7} R R₃ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M (LinearMap.{u2, u3, u6, u7} R₂ R₃ (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) _inst_5 (LinearMap.addCommMonoid.{u2, u3, u6, u7} R₂ R₃ N P (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) _inst_14 (LinearMap.module.{u2, u3, u3, u6, u7} R₂ R₃ R₃ N P (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_16 (smulCommClass_self.{u3, u7} R₃ P (CommSemiring.toCommMonoid.{u3} R₃ _inst_3) (MulActionWithZero.toMulAction.{u3, u7} R₃ P (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3)) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7 _inst_16))))) (g : LinearMap.{u4, u2, u8, u6} R₄ R₂ (CommSemiring.toSemiring.{u4} R₄ _inst_4) (CommSemiring.toSemiring.{u2} R₂ _inst_2) σ₄₂ Q N _inst_8 _inst_6 _inst_17 _inst_15) (m : M) (q : Q), Eq.{succ u7} P (coeFn.{max (succ u8) (succ u7), max (succ u8) (succ u7)} (LinearMap.{u4, u3, u8, u7} R₄ R₃ (CommSemiring.toSemiring.{u4} R₄ _inst_4) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₄₃ Q P _inst_8 _inst_7 _inst_17 _inst_16) (fun (_x : LinearMap.{u4, u3, u8, u7} R₄ R₃ (CommSemiring.toSemiring.{u4} R₄ _inst_4) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₄₃ Q P _inst_8 _inst_7 _inst_17 _inst_16) => Q -> P) (LinearMap.hasCoeToFun.{u4, u3, u8, u7} R₄ R₃ Q P (CommSemiring.toSemiring.{u4} R₄ _inst_4) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_8 _inst_7 _inst_17 _inst_16 σ₄₃) (coeFn.{max (succ u5) (succ (max u8 u7)), max (succ u5) (succ (max u8 u7))} (LinearMap.{u1, u3, u5, max u8 u7} R R₃ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M (LinearMap.{u4, u3, u8, u7} R₄ R₃ (CommSemiring.toSemiring.{u4} R₄ _inst_4) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₄₃ Q P _inst_8 _inst_7 _inst_17 _inst_16) _inst_5 (LinearMap.addCommMonoid.{u4, 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(CommSemiring.toSemiring.{u4} R₄ _inst_4) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_8 _inst_7 _inst_17 _inst_16 σ₄₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_16 (LinearMap.compl₂._proof_2.{u3, u7} R₃ _inst_3 P _inst_7 _inst_16))) => M -> (LinearMap.{u4, u3, u8, u7} R₄ R₃ (CommSemiring.toSemiring.{u4} R₄ _inst_4) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₄₃ Q P _inst_8 _inst_7 _inst_17 _inst_16)) (LinearMap.hasCoeToFun.{u1, u3, u5, max u8 u7} R R₃ M (LinearMap.{u4, u3, u8, u7} R₄ R₃ (CommSemiring.toSemiring.{u4} R₄ _inst_4) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₄₃ Q P _inst_8 _inst_7 _inst_17 _inst_16) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_5 (LinearMap.addCommMonoid.{u4, u3, u8, u7} R₄ R₃ Q P (CommSemiring.toSemiring.{u4} R₄ _inst_4) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_8 _inst_7 _inst_17 _inst_16 σ₄₃) _inst_14 (LinearMap.module.{u4, u3, u3, u8, u7} R₄ R₃ R₃ Q P (CommSemiring.toSemiring.{u4} R₄ _inst_4) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_8 _inst_7 _inst_17 _inst_16 σ₄₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_16 (LinearMap.compl₂._proof_2.{u3, u7} R₃ _inst_3 P _inst_7 _inst_16)) σ₁₃) (LinearMap.compl₂.{u1, u2, u3, u4, u5, u6, u7, u8} R _inst_1 R₂ _inst_2 R₃ _inst_3 R₄ _inst_4 M N P Q _inst_5 _inst_6 _inst_7 _inst_8 _inst_14 _inst_15 _inst_16 _inst_17 σ₂₃ σ₁₃ σ₄₂ σ₄₃ _inst_24 f g) m) q) (coeFn.{max (succ u6) (succ u7), max (succ u6) (succ u7)} (LinearMap.{u2, u3, u6, u7} R₂ R₃ (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) (fun (_x : LinearMap.{u2, u3, u6, u7} R₂ R₃ (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) => N -> P) (LinearMap.hasCoeToFun.{u2, u3, u6, u7} R₂ R₃ N P (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) (coeFn.{max 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P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7 _inst_16))))) (fun (_x : LinearMap.{u1, u3, u5, max u6 u7} R R₃ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M (LinearMap.{u2, u3, u6, u7} R₂ R₃ (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) _inst_5 (LinearMap.addCommMonoid.{u2, u3, u6, u7} R₂ R₃ N P (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) _inst_14 (LinearMap.module.{u2, u3, u3, u6, u7} R₂ R₃ R₃ N P (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_16 (smulCommClass_self.{u3, u7} R₃ P (CommSemiring.toCommMonoid.{u3} R₃ _inst_3) 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(LinearMap.module.{u2, u3, u3, u6, u7} R₂ R₃ R₃ N P (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_16 (smulCommClass_self.{u3, u7} R₃ P (CommSemiring.toCommMonoid.{u3} R₃ _inst_3) (MulActionWithZero.toMulAction.{u3, u7} R₃ P (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3)) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7 _inst_16)))) σ₁₃) f m) (coeFn.{max (succ u8) (succ u6), max (succ u8) (succ u6)} (LinearMap.{u4, u2, u8, u6} R₄ R₂ (CommSemiring.toSemiring.{u4} R₄ _inst_4) (CommSemiring.toSemiring.{u2} R₂ _inst_2) σ₄₂ Q N _inst_8 _inst_6 _inst_17 _inst_15) (fun (_x : LinearMap.{u4, u2, u8, u6} R₄ R₂ (CommSemiring.toSemiring.{u4} R₄ _inst_4) (CommSemiring.toSemiring.{u2} R₂ _inst_2) σ₄₂ Q N _inst_8 _inst_6 _inst_17 _inst_15) => Q -> N) (LinearMap.hasCoeToFun.{u4, u2, u8, u6} R₄ R₂ Q N (CommSemiring.toSemiring.{u4} R₄ _inst_4) (CommSemiring.toSemiring.{u2} R₂ _inst_2) _inst_8 _inst_6 _inst_17 _inst_15 σ₄₂) g q))
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {R₂ : Type.{u7}} [_inst_2 : CommSemiring.{u7} R₂] {R₃ : Type.{u3}} [_inst_3 : CommSemiring.{u3} R₃] {R₄ : Type.{u8}} [_inst_4 : CommSemiring.{u8} R₄] {M : Type.{u2}} {N : Type.{u5}} {P : Type.{u4}} {Q : Type.{u6}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_6 : AddCommMonoid.{u5} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_8 : AddCommMonoid.{u6} Q] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_15 : Module.{u7, u5} R₂ N (CommSemiring.toSemiring.{u7} R₂ _inst_2) _inst_6] [_inst_16 : Module.{u3, u4} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7] [_inst_17 : Module.{u8, u6} R₄ Q (CommSemiring.toSemiring.{u8} R₄ _inst_4) _inst_8] {σ₂₃ : RingHom.{u7, u3} R₂ R₃ (Semiring.toNonAssocSemiring.{u7} R₂ (CommSemiring.toSemiring.{u7} R₂ _inst_2)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} {σ₁₃ : RingHom.{u1, u3} R R₃ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} {σ₄₂ : RingHom.{u8, u7} R₄ R₂ (Semiring.toNonAssocSemiring.{u8} R₄ (CommSemiring.toSemiring.{u8} R₄ _inst_4)) (Semiring.toNonAssocSemiring.{u7} R₂ (CommSemiring.toSemiring.{u7} R₂ _inst_2))} {σ₄₃ : RingHom.{u8, u3} R₄ R₃ (Semiring.toNonAssocSemiring.{u8} R₄ (CommSemiring.toSemiring.{u8} R₄ _inst_4)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} [_inst_24 : RingHomCompTriple.{u8, u7, u3} R₄ R₂ R₃ (CommSemiring.toSemiring.{u8} R₄ _inst_4) (CommSemiring.toSemiring.{u7} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₄₂ σ₂₃ σ₄₃] (f : LinearMap.{u1, u3, u2, max u4 u5} R R₃ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M (LinearMap.{u7, u3, u5, u4} R₂ R₃ (CommSemiring.toSemiring.{u7} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) _inst_5 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+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {R₂ : Type.{u7}} [_inst_2 : CommSemiring.{u7} R₂] {R₃ : Type.{u3}} [_inst_3 : CommSemiring.{u3} R₃] {R₄ : Type.{u8}} [_inst_4 : CommSemiring.{u8} R₄] {M : Type.{u2}} {N : Type.{u5}} {P : Type.{u4}} {Q : Type.{u6}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_6 : AddCommMonoid.{u5} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_8 : AddCommMonoid.{u6} Q] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_15 : Module.{u7, u5} R₂ N (CommSemiring.toSemiring.{u7} R₂ _inst_2) _inst_6] [_inst_16 : Module.{u3, u4} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7] [_inst_17 : Module.{u8, u6} R₄ Q (CommSemiring.toSemiring.{u8} R₄ _inst_4) _inst_8] {σ₂₃ : RingHom.{u7, u3} R₂ R₃ (Semiring.toNonAssocSemiring.{u7} R₂ (CommSemiring.toSemiring.{u7} R₂ _inst_2)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} {σ₁₃ : RingHom.{u1, u3} R R₃ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} {σ₄₂ : RingHom.{u8, u7} R₄ R₂ (Semiring.toNonAssocSemiring.{u8} R₄ (CommSemiring.toSemiring.{u8} R₄ _inst_4)) (Semiring.toNonAssocSemiring.{u7} R₂ (CommSemiring.toSemiring.{u7} R₂ _inst_2))} {σ₄₃ : RingHom.{u8, u3} R₄ R₃ (Semiring.toNonAssocSemiring.{u8} R₄ (CommSemiring.toSemiring.{u8} R₄ _inst_4)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} [_inst_24 : RingHomCompTriple.{u8, u7, u3} R₄ R₂ R₃ (CommSemiring.toSemiring.{u8} R₄ _inst_4) (CommSemiring.toSemiring.{u7} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₄₂ σ₂₃ σ₄₃] (f : LinearMap.{u1, u3, u2, max u4 u5} R R₃ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M (LinearMap.{u7, u3, u5, u4} R₂ R₃ (CommSemiring.toSemiring.{u7} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) _inst_5 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 Case conversion may be inaccurate. Consider using '#align linear_map.compl₂_apply LinearMap.compl₂_applyₓ'. -/
 @[simp]
 theorem compl₂_apply (g : Q →ₛₗ[σ₄₂] N) (m : M) (q : Q) : f.compl₂ g m q = f m (g q) :=
@@ -563,7 +563,7 @@ def compl₁₂ (f : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ) (g : Qₗ →ₗ[R] M
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {Mₗ : Type.{u2}} {Nₗ : Type.{u3}} {Pₗ : Type.{u4}} {Qₗ : Type.{u5}} {Qₗ' : Type.{u6}} [_inst_9 : AddCommMonoid.{u2} Mₗ] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_12 : AddCommMonoid.{u5} Qₗ] [_inst_13 : AddCommMonoid.{u6} Qₗ'] [_inst_18 : Module.{u1, u2} R Mₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_9] [_inst_19 : Module.{u1, u3} R Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10] [_inst_20 : Module.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11] [_inst_21 : Module.{u1, u5} R Qₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_12] [_inst_22 : Module.{u1, u6} R Qₗ' (CommSemiring.toSemiring.{u1} R _inst_1) _inst_13] (f : LinearMap.{u1, u1, u2, max u3 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Mₗ (LinearMap.{u1, u1, u3, u4} R R 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 but is expected to have type
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_inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_9 (LinearMap.addCommMonoid.{u6, u6, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)))) _inst_18 (LinearMap.instModuleLinearMapAddCommMonoid.{u6, u6, u6, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_20 (smulCommClass_self.{u6, u4} R Pₗ (CommSemiring.toCommMonoid.{u6} R _inst_1) (MulActionWithZero.toMulAction.{u6, u4} R Pₗ (Semiring.toMonoidWithZero.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u6, u4} R Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)))) f (FunLike.coe.{max (succ u5) (succ u2), succ u2, succ u5} (LinearMap.{u6, u6, u2, u5} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Qₗ Mₗ _inst_12 _inst_9 _inst_21 _inst_18) Qₗ (fun (_x : Qₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : Qₗ) => Mₗ) _x) (LinearMap.instFunLikeLinearMap.{u6, u6, u2, u5} R R Qₗ Mₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_12 _inst_9 _inst_21 _inst_18 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)))) g x)) (FunLike.coe.{max (succ u3) (succ u1), succ u1, succ u3} (LinearMap.{u6, u6, u1, u3} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Qₗ' Nₗ _inst_13 _inst_10 _inst_22 _inst_19) Qₗ' (fun (_x : Qₗ') => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : Qₗ') => Nₗ) _x) (LinearMap.instFunLikeLinearMap.{u6, u6, u1, u3} R R Qₗ' Nₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_13 _inst_10 _inst_22 _inst_19 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)))) g' y))
 Case conversion may be inaccurate. Consider using '#align linear_map.compl₁₂_apply LinearMap.compl₁₂_applyₓ'. -/
 @[simp]
 theorem compl₁₂_apply (f : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ) (g : Qₗ →ₗ[R] Mₗ) (g' : Qₗ' →ₗ[R] Nₗ) (x : Qₗ)
@@ -588,7 +588,7 @@ theorem compl₁₂_id_id (f : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ) : f.compl₁
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {Mₗ : Type.{u2}} {Nₗ : Type.{u3}} {Pₗ : Type.{u4}} {Qₗ : Type.{u5}} {Qₗ' : Type.{u6}} [_inst_9 : AddCommMonoid.{u2} Mₗ] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_12 : AddCommMonoid.{u5} Qₗ] [_inst_13 : AddCommMonoid.{u6} Qₗ'] [_inst_18 : Module.{u1, u2} R Mₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_9] [_inst_19 : Module.{u1, u3} R Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10] [_inst_20 : Module.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11] [_inst_21 : Module.{u1, u5} R Qₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_12] [_inst_22 : Module.{u1, u6} R Qₗ' (CommSemiring.toSemiring.{u1} R _inst_1) _inst_13] {f₁ : LinearMap.{u1, u1, u2, max u3 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Mₗ (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_9 (LinearMap.addCommMonoid.{u1, u1, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_18 (LinearMap.module.{u1, u1, u1, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (smulCommClass_self.{u1, u4} R Pₗ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u4} R Pₗ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (Module.toMulActionWithZero.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11 _inst_20))))} {f₂ : LinearMap.{u1, u1, u2, max u3 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Mₗ (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_9 (LinearMap.addCommMonoid.{u1, u1, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_18 (LinearMap.module.{u1, u1, u1, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (smulCommClass_self.{u1, u4} R Pₗ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u4} R Pₗ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (Module.toMulActionWithZero.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11 _inst_20))))} {g : LinearMap.{u1, u1, u5, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Qₗ Mₗ _inst_12 _inst_9 _inst_21 _inst_18} {g' : LinearMap.{u1, u1, u6, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Qₗ' Nₗ _inst_13 _inst_10 _inst_22 _inst_19}, (Function.Surjective.{succ u5, succ u2} Qₗ Mₗ (coeFn.{max (succ u5) (succ u2), max (succ u5) (succ u2)} (LinearMap.{u1, u1, u5, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Qₗ Mₗ _inst_12 _inst_9 _inst_21 _inst_18) (fun (_x : LinearMap.{u1, u1, u5, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Qₗ Mₗ _inst_12 _inst_9 _inst_21 _inst_18) => Qₗ -> Mₗ) (LinearMap.hasCoeToFun.{u1, u1, u5, u2} R R Qₗ Mₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_12 _inst_9 _inst_21 _inst_18 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) g)) -> (Function.Surjective.{succ u6, succ u3} Qₗ' Nₗ (coeFn.{max (succ u6) (succ u3), max (succ u6) (succ u3)} (LinearMap.{u1, u1, u6, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Qₗ' Nₗ _inst_13 _inst_10 _inst_22 _inst_19) (fun (_x : LinearMap.{u1, u1, u6, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Qₗ' Nₗ _inst_13 _inst_10 _inst_22 _inst_19) => Qₗ' -> Nₗ) (LinearMap.hasCoeToFun.{u1, u1, u6, u3} R R Qₗ' Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_13 _inst_10 _inst_22 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) g')) -> (Iff (Eq.{max (succ u5) (succ (max u6 u4))} (LinearMap.{u1, u1, u5, max u6 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Qₗ (LinearMap.{u1, u1, u6, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Qₗ' Pₗ _inst_13 _inst_11 _inst_22 _inst_20) _inst_12 (LinearMap.addCommMonoid.{u1, u1, u6, u4} R R Qₗ' Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_13 _inst_11 _inst_22 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_21 (LinearMap.module.{u1, u1, u1, u6, u4} R R R Qₗ' Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_13 _inst_11 _inst_22 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.compl₁₂._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20))) (LinearMap.compl₁₂.{u1, u2, u3, u4, u5, u6} R _inst_1 Mₗ Nₗ Pₗ Qₗ Qₗ' _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 _inst_18 _inst_19 _inst_20 _inst_21 _inst_22 f₁ g g') (LinearMap.compl₁₂.{u1, u2, u3, u4, u5, u6} R _inst_1 Mₗ Nₗ Pₗ Qₗ Qₗ' _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 _inst_18 _inst_19 _inst_20 _inst_21 _inst_22 f₂ g g')) (Eq.{max (succ u2) (succ (max u3 u4))} (LinearMap.{u1, u1, u2, max u3 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Mₗ (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_9 (LinearMap.addCommMonoid.{u1, u1, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_18 (LinearMap.module.{u1, u1, u1, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (smulCommClass_self.{u1, u4} R Pₗ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u4} R Pₗ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (Module.toMulActionWithZero.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11 _inst_20))))) f₁ f₂))
 but is expected to have type
-  forall {R : Type.{u6}} [_inst_1 : CommSemiring.{u6} R] {Mₗ : Type.{u5}} {Nₗ : Type.{u3}} {Pₗ : Type.{u4}} {Qₗ : Type.{u2}} {Qₗ' : Type.{u1}} [_inst_9 : AddCommMonoid.{u5} Mₗ] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_12 : AddCommMonoid.{u2} Qₗ] [_inst_13 : AddCommMonoid.{u1} Qₗ'] [_inst_18 : Module.{u6, u5} R Mₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_9] [_inst_19 : Module.{u6, u3} R Nₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10] [_inst_20 : Module.{u6, u4} R Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_11] [_inst_21 : Module.{u6, u2} R Qₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_12] [_inst_22 : Module.{u6, u1} R Qₗ' (CommSemiring.toSemiring.{u6} R _inst_1) _inst_13] {f₁ : LinearMap.{u6, u6, u5, max u4 u3} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Mₗ (LinearMap.{u6, u6, u3, u4} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_9 (LinearMap.addCommMonoid.{u6, u6, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)))) _inst_18 (LinearMap.instModuleLinearMapAddCommMonoid.{u6, u6, u6, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_20 (smulCommClass_self.{u6, u4} R Pₗ (CommSemiring.toCommMonoid.{u6} R _inst_1) (MulActionWithZero.toMulAction.{u6, u4} R Pₗ (Semiring.toMonoidWithZero.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u6, u4} R Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_11 _inst_20))))} {f₂ : LinearMap.{u6, u6, u5, max u4 u3} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Mₗ (LinearMap.{u6, u6, u3, u4} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_9 (LinearMap.addCommMonoid.{u6, u6, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)))) _inst_18 (LinearMap.instModuleLinearMapAddCommMonoid.{u6, u6, u6, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_20 (smulCommClass_self.{u6, u4} R Pₗ (CommSemiring.toCommMonoid.{u6} R _inst_1) (MulActionWithZero.toMulAction.{u6, u4} R Pₗ (Semiring.toMonoidWithZero.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u6, u4} R Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_11 _inst_20))))} {g : LinearMap.{u6, u6, u2, u5} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Qₗ Mₗ _inst_12 _inst_9 _inst_21 _inst_18} {g' : LinearMap.{u6, u6, u1, u3} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Qₗ' Nₗ _inst_13 _inst_10 _inst_22 _inst_19}, (Function.Surjective.{succ u2, succ u5} Qₗ Mₗ (FunLike.coe.{max (succ u5) (succ u2), succ u2, succ u5} (LinearMap.{u6, u6, u2, u5} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Qₗ Mₗ _inst_12 _inst_9 _inst_21 _inst_18) Qₗ (fun (_x : Qₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : Qₗ) => Mₗ) _x) (LinearMap.instFunLikeLinearMap.{u6, u6, u2, u5} R R Qₗ Mₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_12 _inst_9 _inst_21 _inst_18 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)))) g)) -> (Function.Surjective.{succ u1, succ u3} Qₗ' Nₗ (FunLike.coe.{max (succ u3) (succ u1), succ u1, succ u3} (LinearMap.{u6, u6, u1, u3} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Qₗ' Nₗ _inst_13 _inst_10 _inst_22 _inst_19) Qₗ' (fun (_x : Qₗ') => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : Qₗ') => Nₗ) _x) (LinearMap.instFunLikeLinearMap.{u6, u6, u1, u3} R R Qₗ' Nₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_13 _inst_10 _inst_22 _inst_19 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)))) g')) -> (Iff (Eq.{max (max (succ u4) (succ u2)) (succ u1)} (LinearMap.{u6, u6, u2, max u4 u1} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R 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(MulActionWithZero.toMulAction.{u6, u4} R Pₗ (Semiring.toMonoidWithZero.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u6, u4} R Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_11 _inst_20))))) (LinearMap.compl₁₂.{u6, u5, u3, u4, u2, u1} R _inst_1 Mₗ Nₗ Pₗ Qₗ Qₗ' _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 _inst_18 _inst_19 _inst_20 _inst_21 _inst_22 f₁ g g') (LinearMap.compl₁₂.{u6, u5, u3, u4, u2, u1} R _inst_1 Mₗ Nₗ Pₗ Qₗ Qₗ' _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 _inst_18 _inst_19 _inst_20 _inst_21 _inst_22 f₂ g g')) (Eq.{max (max (succ u5) (succ u3)) (succ u4)} (LinearMap.{u6, u6, u5, max u4 u3} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Mₗ (LinearMap.{u6, u6, u3, u4} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_9 (LinearMap.addCommMonoid.{u6, u6, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)))) _inst_18 (LinearMap.instModuleLinearMapAddCommMonoid.{u6, u6, u6, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_20 (smulCommClass_self.{u6, u4} R Pₗ (CommSemiring.toCommMonoid.{u6} R _inst_1) (MulActionWithZero.toMulAction.{u6, u4} R Pₗ (Semiring.toMonoidWithZero.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u6, u4} R Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_11 _inst_20))))) f₁ f₂))
+  forall {R : Type.{u6}} [_inst_1 : CommSemiring.{u6} R] {Mₗ : Type.{u5}} {Nₗ : Type.{u3}} {Pₗ : Type.{u4}} {Qₗ : Type.{u2}} {Qₗ' : Type.{u1}} [_inst_9 : AddCommMonoid.{u5} Mₗ] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_12 : AddCommMonoid.{u2} Qₗ] [_inst_13 : AddCommMonoid.{u1} Qₗ'] [_inst_18 : Module.{u6, u5} R Mₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_9] [_inst_19 : Module.{u6, u3} R Nₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10] [_inst_20 : Module.{u6, u4} R Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_11] [_inst_21 : Module.{u6, u2} R Qₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_12] [_inst_22 : Module.{u6, u1} R Qₗ' (CommSemiring.toSemiring.{u6} R _inst_1) _inst_13] {f₁ : LinearMap.{u6, u6, u5, max u4 u3} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Mₗ (LinearMap.{u6, u6, u3, u4} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_9 (LinearMap.addCommMonoid.{u6, u6, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)))) _inst_18 (LinearMap.instModuleLinearMapAddCommMonoid.{u6, u6, u6, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_20 (smulCommClass_self.{u6, u4} R Pₗ (CommSemiring.toCommMonoid.{u6} R _inst_1) (MulActionWithZero.toMulAction.{u6, u4} R Pₗ (Semiring.toMonoidWithZero.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u6, u4} R Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_11 _inst_20))))} {f₂ : LinearMap.{u6, u6, u5, max u4 u3} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Mₗ (LinearMap.{u6, u6, u3, u4} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_9 (LinearMap.addCommMonoid.{u6, u6, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)))) _inst_18 (LinearMap.instModuleLinearMapAddCommMonoid.{u6, u6, u6, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_20 (smulCommClass_self.{u6, u4} R Pₗ (CommSemiring.toCommMonoid.{u6} R _inst_1) (MulActionWithZero.toMulAction.{u6, u4} R Pₗ (Semiring.toMonoidWithZero.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u6, u4} R Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_11 _inst_20))))} {g : LinearMap.{u6, u6, u2, u5} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Qₗ Mₗ _inst_12 _inst_9 _inst_21 _inst_18} {g' : LinearMap.{u6, u6, u1, u3} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Qₗ' Nₗ _inst_13 _inst_10 _inst_22 _inst_19}, (Function.Surjective.{succ u2, succ u5} Qₗ Mₗ (FunLike.coe.{max (succ u5) (succ u2), succ u2, succ u5} (LinearMap.{u6, u6, u2, u5} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Qₗ Mₗ _inst_12 _inst_9 _inst_21 _inst_18) Qₗ (fun (_x : Qₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : Qₗ) => Mₗ) _x) (LinearMap.instFunLikeLinearMap.{u6, u6, u2, u5} R R Qₗ Mₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_12 _inst_9 _inst_21 _inst_18 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)))) g)) -> 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_inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u6, u4} R Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_11 _inst_20))))) f₁ f₂))
 Case conversion may be inaccurate. Consider using '#align linear_map.compl₁₂_inj LinearMap.compl₁₂_injₓ'. -/
 theorem compl₁₂_inj {f₁ f₂ : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ} {g : Qₗ →ₗ[R] Mₗ} {g' : Qₗ' →ₗ[R] Nₗ}
     (hₗ : Function.Surjective g) (hᵣ : Function.Surjective g') :
@@ -618,7 +618,7 @@ def compr₂ (f : M →ₗ[R] Nₗ →ₗ[R] Pₗ) (g : Pₗ →ₗ[R] Qₗ) : M
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {M : Type.{u2}} {Nₗ : Type.{u3}} {Pₗ : Type.{u4}} {Qₗ : Type.{u5}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_12 : AddCommMonoid.{u5} Qₗ] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_19 : Module.{u1, u3} R Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10] [_inst_20 : Module.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11] [_inst_21 : Module.{u1, u5} R Qₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_12] (f : LinearMap.{u1, u1, u2, max u3 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_5 (LinearMap.addCommMonoid.{u1, u1, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_14 (LinearMap.module.{u1, u1, u1, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (smulCommClass_self.{u1, u4} R Pₗ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u4} R Pₗ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) 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(LinearMap.addCommMonoid.{u1, u1, u3, u5} R R Nₗ Qₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_14 (LinearMap.module.{u1, u1, u1, u3, u5} R R R Nₗ Qₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_21 (LinearMap.compr₂._proof_2.{u1, u5} R _inst_1 Qₗ _inst_12 _inst_21))) => M -> (LinearMap.{u1, u1, u3, u5} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Qₗ _inst_10 _inst_12 _inst_19 _inst_21)) (LinearMap.hasCoeToFun.{u1, u1, u2, max u3 u5} R R M (LinearMap.{u1, 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_inst_10 _inst_11 _inst_19 _inst_20) _inst_5 (LinearMap.addCommMonoid.{u1, u1, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_14 (LinearMap.module.{u1, u1, u1, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (smulCommClass_self.{u1, u4} R Pₗ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u4} R Pₗ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (Module.toMulActionWithZero.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11 _inst_20))))) => M -> (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20)) (LinearMap.hasCoeToFun.{u1, u1, u2, max u3 u4} R R M (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 (LinearMap.addCommMonoid.{u1, u1, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_14 (LinearMap.module.{u1, u1, u1, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (smulCommClass_self.{u1, u4} R Pₗ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u4} R Pₗ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (Module.toMulActionWithZero.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f m) n))
 but is expected to have type
-  forall {R : Type.{u5}} [_inst_1 : CommSemiring.{u5} R] {M : Type.{u4}} {Nₗ : Type.{u2}} {Pₗ : Type.{u3}} {Qₗ : Type.{u1}} [_inst_5 : AddCommMonoid.{u4} M] [_inst_10 : AddCommMonoid.{u2} Nₗ] [_inst_11 : AddCommMonoid.{u3} Pₗ] [_inst_12 : AddCommMonoid.{u1} Qₗ] [_inst_14 : Module.{u5, u4} R M (CommSemiring.toSemiring.{u5} R _inst_1) _inst_5] [_inst_19 : Module.{u5, u2} R Nₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10] [_inst_20 : Module.{u5, u3} R Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_11] [_inst_21 : Module.{u5, u1} R Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_12] (f : LinearMap.{u5, u5, u4, max u3 u2} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) M (LinearMap.{u5, u5, u2, u3} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_5 (LinearMap.addCommMonoid.{u5, u5, u2, u3} R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u5, u5, u5, u2, u3} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_20 (smulCommClass_self.{u5, u3} R Pₗ (CommSemiring.toCommMonoid.{u5} R _inst_1) (MulActionWithZero.toMulAction.{u5, u3} R Pₗ (Semiring.toMonoidWithZero.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)) (AddMonoid.toZero.{u3} Pₗ (AddCommMonoid.toAddMonoid.{u3} Pₗ _inst_11)) (Module.toMulActionWithZero.{u5, u3} R Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_11 _inst_20))))) (g : LinearMap.{u5, u5, u3, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Pₗ Qₗ _inst_11 _inst_12 _inst_20 _inst_21) (m : M) (n : Nₗ), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : Nₗ) => Qₗ) n) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u5, u5, u2, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Qₗ _inst_10 _inst_12 _inst_19 _inst_21) m) Nₗ (fun (_x : Nₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : Nₗ) => Qₗ) _x) (LinearMap.instFunLikeLinearMap.{u5, u5, u2, u1} R R Nₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u1), succ u4, max (succ u2) (succ u1)} (LinearMap.{u5, u5, u4, max u1 u2} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) M (LinearMap.{u5, u5, u2, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Qₗ _inst_10 _inst_12 _inst_19 _inst_21) _inst_5 (LinearMap.addCommMonoid.{u5, u5, u2, u1} R R Nₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u5, u5, u5, u2, u1} R R R Nₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_21 (smulCommClass_self.{u5, u1} R Qₗ (CommSemiring.toCommMonoid.{u5} R _inst_1) (MulActionWithZero.toMulAction.{u5, u1} R Qₗ (Semiring.toMonoidWithZero.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)) (AddMonoid.toZero.{u1} Qₗ (AddCommMonoid.toAddMonoid.{u1} Qₗ _inst_12)) (Module.toMulActionWithZero.{u5, u1} R Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_12 _inst_21))))) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u5, u5, u2, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Qₗ _inst_10 _inst_12 _inst_19 _inst_21) _x) (LinearMap.instFunLikeLinearMap.{u5, u5, u4, max u2 u1} R R M (LinearMap.{u5, u5, u2, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Qₗ _inst_10 _inst_12 _inst_19 _inst_21) (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_5 (LinearMap.addCommMonoid.{u5, u5, u2, u1} R R Nₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u5, u5, u5, u2, u1} R R R Nₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_21 (smulCommClass_self.{u5, u1} R Qₗ (CommSemiring.toCommMonoid.{u5} R _inst_1) (MulActionWithZero.toMulAction.{u5, u1} R Qₗ (Semiring.toMonoidWithZero.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)) (AddMonoid.toZero.{u1} Qₗ (AddCommMonoid.toAddMonoid.{u1} Qₗ _inst_12)) (Module.toMulActionWithZero.{u5, u1} R Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_12 _inst_21)))) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) (LinearMap.compr₂.{u5, u4, u2, u3, u1} R _inst_1 M Nₗ Pₗ Qₗ _inst_5 _inst_10 _inst_11 _inst_12 _inst_14 _inst_19 _inst_20 _inst_21 f g) m) n) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (LinearMap.{u5, u5, u3, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Pₗ Qₗ _inst_11 _inst_12 _inst_20 _inst_21) Pₗ (fun (_x : Pₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : Pₗ) => Qₗ) _x) (LinearMap.instFunLikeLinearMap.{u5, u5, u3, u1} R R Pₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_11 _inst_12 _inst_20 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) g (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u5, u5, u2, u3} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) m) Nₗ (fun (_x : Nₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : Nₗ) => Pₗ) _x) (LinearMap.instFunLikeLinearMap.{u5, u5, u2, u3} R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), succ u4, max (succ u2) (succ u3)} (LinearMap.{u5, u5, u4, max u3 u2} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) M (LinearMap.{u5, u5, u2, u3} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_5 (LinearMap.addCommMonoid.{u5, u5, u2, u3} R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u5, u5, u5, u2, u3} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_20 (smulCommClass_self.{u5, u3} R Pₗ (CommSemiring.toCommMonoid.{u5} R _inst_1) (MulActionWithZero.toMulAction.{u5, u3} R Pₗ (Semiring.toMonoidWithZero.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)) (AddMonoid.toZero.{u3} Pₗ (AddCommMonoid.toAddMonoid.{u3} Pₗ _inst_11)) (Module.toMulActionWithZero.{u5, u3} R Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_11 _inst_20))))) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u5, u5, u2, u3} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _x) (LinearMap.instFunLikeLinearMap.{u5, u5, u4, max u2 u3} R R M (LinearMap.{u5, u5, u2, u3} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_5 (LinearMap.addCommMonoid.{u5, u5, u2, u3} R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u5, u5, u5, u2, u3} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_20 (smulCommClass_self.{u5, u3} R Pₗ (CommSemiring.toCommMonoid.{u5} R _inst_1) (MulActionWithZero.toMulAction.{u5, u3} R Pₗ (Semiring.toMonoidWithZero.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)) (AddMonoid.toZero.{u3} Pₗ (AddCommMonoid.toAddMonoid.{u3} Pₗ _inst_11)) (Module.toMulActionWithZero.{u5, u3} R Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) f m) n))
+  forall {R : Type.{u5}} [_inst_1 : CommSemiring.{u5} R] {M : Type.{u4}} {Nₗ : Type.{u2}} {Pₗ : Type.{u3}} {Qₗ : Type.{u1}} [_inst_5 : AddCommMonoid.{u4} M] [_inst_10 : AddCommMonoid.{u2} Nₗ] [_inst_11 : AddCommMonoid.{u3} Pₗ] [_inst_12 : AddCommMonoid.{u1} Qₗ] [_inst_14 : Module.{u5, u4} R M (CommSemiring.toSemiring.{u5} R _inst_1) _inst_5] [_inst_19 : Module.{u5, u2} R Nₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10] [_inst_20 : Module.{u5, u3} R Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_11] [_inst_21 : Module.{u5, u1} R Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_12] (f : LinearMap.{u5, u5, u4, max u3 u2} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) M (LinearMap.{u5, u5, u2, u3} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_5 (LinearMap.addCommMonoid.{u5, u5, u2, u3} R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u5, u5, u5, u2, u3} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_20 (smulCommClass_self.{u5, u3} R Pₗ (CommSemiring.toCommMonoid.{u5} R _inst_1) (MulActionWithZero.toMulAction.{u5, u3} R Pₗ (Semiring.toMonoidWithZero.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)) (AddMonoid.toZero.{u3} Pₗ (AddCommMonoid.toAddMonoid.{u3} Pₗ _inst_11)) (Module.toMulActionWithZero.{u5, u3} R Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_11 _inst_20))))) (g : LinearMap.{u5, u5, u3, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Pₗ Qₗ _inst_11 _inst_12 _inst_20 _inst_21) (m : M) (n : Nₗ), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : Nₗ) => Qₗ) n) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u5, u5, u2, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Qₗ _inst_10 _inst_12 _inst_19 _inst_21) m) Nₗ (fun (_x : Nₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : Nₗ) => Qₗ) _x) (LinearMap.instFunLikeLinearMap.{u5, u5, u2, u1} R R Nₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u1), succ u4, max (succ u2) (succ u1)} (LinearMap.{u5, u5, u4, max u1 u2} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) M (LinearMap.{u5, u5, u2, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Qₗ _inst_10 _inst_12 _inst_19 _inst_21) _inst_5 (LinearMap.addCommMonoid.{u5, u5, u2, u1} R R Nₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u5, u5, u5, u2, u1} R R R Nₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_21 (smulCommClass_self.{u5, u1} R Qₗ (CommSemiring.toCommMonoid.{u5} R _inst_1) (MulActionWithZero.toMulAction.{u5, u1} R Qₗ (Semiring.toMonoidWithZero.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)) (AddMonoid.toZero.{u1} Qₗ (AddCommMonoid.toAddMonoid.{u1} Qₗ _inst_12)) (Module.toMulActionWithZero.{u5, u1} R Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_12 _inst_21))))) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u5, u5, u2, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Qₗ _inst_10 _inst_12 _inst_19 _inst_21) _x) (LinearMap.instFunLikeLinearMap.{u5, u5, u4, max u2 u1} R R M (LinearMap.{u5, u5, u2, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Qₗ _inst_10 _inst_12 _inst_19 _inst_21) (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_5 (LinearMap.addCommMonoid.{u5, u5, u2, u1} R R Nₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u5, u5, u5, u2, u1} R R R Nₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_21 (smulCommClass_self.{u5, u1} R Qₗ (CommSemiring.toCommMonoid.{u5} R _inst_1) (MulActionWithZero.toMulAction.{u5, u1} R Qₗ (Semiring.toMonoidWithZero.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)) (AddMonoid.toZero.{u1} Qₗ (AddCommMonoid.toAddMonoid.{u1} Qₗ _inst_12)) (Module.toMulActionWithZero.{u5, u1} R Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_12 _inst_21)))) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) (LinearMap.compr₂.{u5, u4, u2, u3, u1} R _inst_1 M Nₗ Pₗ Qₗ _inst_5 _inst_10 _inst_11 _inst_12 _inst_14 _inst_19 _inst_20 _inst_21 f g) m) n) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (LinearMap.{u5, u5, u3, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Pₗ Qₗ _inst_11 _inst_12 _inst_20 _inst_21) Pₗ (fun (_x : Pₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : Pₗ) => Qₗ) _x) (LinearMap.instFunLikeLinearMap.{u5, u5, u3, u1} R R Pₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_11 _inst_12 _inst_20 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) g (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u5, u5, u2, u3} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) m) Nₗ (fun (_x : Nₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : Nₗ) => Pₗ) _x) (LinearMap.instFunLikeLinearMap.{u5, u5, u2, u3} R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), succ u4, max (succ u2) (succ u3)} (LinearMap.{u5, u5, u4, max u3 u2} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) M (LinearMap.{u5, u5, u2, u3} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_5 (LinearMap.addCommMonoid.{u5, u5, u2, u3} R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u5, u5, u5, u2, u3} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_20 (smulCommClass_self.{u5, u3} R Pₗ (CommSemiring.toCommMonoid.{u5} R _inst_1) (MulActionWithZero.toMulAction.{u5, u3} R Pₗ (Semiring.toMonoidWithZero.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)) (AddMonoid.toZero.{u3} Pₗ (AddCommMonoid.toAddMonoid.{u3} Pₗ _inst_11)) (Module.toMulActionWithZero.{u5, u3} R Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_11 _inst_20))))) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => LinearMap.{u5, u5, u2, u3} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _x) (LinearMap.instFunLikeLinearMap.{u5, u5, u4, max u2 u3} R R M (LinearMap.{u5, u5, u2, u3} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_5 (LinearMap.addCommMonoid.{u5, u5, u2, u3} R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u5, u5, u5, u2, u3} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_20 (smulCommClass_self.{u5, u3} R Pₗ (CommSemiring.toCommMonoid.{u5} R _inst_1) (MulActionWithZero.toMulAction.{u5, u3} R Pₗ (Semiring.toMonoidWithZero.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)) (AddMonoid.toZero.{u3} Pₗ (AddCommMonoid.toAddMonoid.{u3} Pₗ _inst_11)) (Module.toMulActionWithZero.{u5, u3} R Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) f m) n))
 Case conversion may be inaccurate. Consider using '#align linear_map.compr₂_apply LinearMap.compr₂_applyₓ'. -/
 @[simp]
 theorem compr₂_apply (f : M →ₗ[R] Nₗ →ₗ[R] Pₗ) (g : Pₗ →ₗ[R] Qₗ) (m : M) (n : Nₗ) :
@@ -642,7 +642,7 @@ variable {R M}
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {M : Type.{u2}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] (r : R) (m : M), Eq.{succ u2} M (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (LinearMap.module.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_14 (LinearMap.lsmul._proof_1.{u1, u2} R _inst_1 M _inst_5 _inst_14))) (fun (_x : LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (LinearMap.module.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_14 (LinearMap.lsmul._proof_1.{u1, u2} R _inst_1 M _inst_5 _inst_14))) => R -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14)) (LinearMap.hasCoeToFun.{u1, u1, u1, u2} R R R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (LinearMap.module.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_14 (LinearMap.lsmul._proof_1.{u1, u2} R _inst_1 M _inst_5 _inst_14)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.lsmul.{u1, u2} R _inst_1 M _inst_5 _inst_14) r) m) (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_5))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5))) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_14)))) r m)
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {M : Type.{u2}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] (r : R) (m : M), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) m) (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) r) 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 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_14 (smulCommClass_self.{u1, u2} R M (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_14))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u2} R R R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_14 (smulCommClass_self.{u1, u2} R M (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_14)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.lsmul.{u1, u2} R _inst_1 M _inst_5 _inst_14) r) m) (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_14))))) r m)
+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {M : Type.{u2}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] (r : R) (m : M), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M) => M) m) (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) r) 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 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_14 (smulCommClass_self.{u1, u2} R M (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_14))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u2} R R R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_14 (smulCommClass_self.{u1, u2} R M (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_14)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.lsmul.{u1, u2} R _inst_1 M _inst_5 _inst_14) r) m) (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_14))))) r m)
 Case conversion may be inaccurate. Consider using '#align linear_map.lsmul_apply LinearMap.lsmul_applyₓ'. -/
 @[simp]
 theorem lsmul_apply (r : R) (m : M) : lsmul R M r m = r • m :=
@@ -669,7 +669,7 @@ variable [Module R M] [Module S N] [Module R₂ P] [Module S₂ P]
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_5 : AddCommGroup.{u2} M] [_inst_8 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)] [_inst_12 : NoZeroSMulDivisors.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_5))))) (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8))))] {x : R}, (Ne.{succ u1} R x (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))))))))) -> (Function.Injective.{succ u2, succ u2} M M (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (LinearMap.module.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_8 (LinearMap.lsmul._proof_1.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8))) (fun (_x : LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (LinearMap.module.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_8 (LinearMap.lsmul._proof_1.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8))) => R -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8)) (LinearMap.hasCoeToFun.{u1, u1, u1, u2} R R R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (LinearMap.module.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_8 (LinearMap.lsmul._proof_1.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.lsmul.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8) x)))
 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommRing.{u2} R] [_inst_5 : AddCommGroup.{u1} M] [_inst_8 : Module.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5)] [_inst_12 : NoZeroSMulDivisors.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))] {x : R}, (Ne.{succ u2} R x (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))))) -> (Function.Injective.{succ u1, succ u1} M M (FunLike.coe.{succ u1, succ u1, succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) x) 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 (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u2, u2, u2, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.addCommMonoid.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, u1} R R R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.addCommMonoid.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.lsmul.{u2, u1} R (CommRing.toCommSemiring.{u2} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) x)))
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommRing.{u2} R] [_inst_5 : AddCommGroup.{u1} M] [_inst_8 : Module.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5)] [_inst_12 : NoZeroSMulDivisors.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))] {x : R}, (Ne.{succ u2} R x (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))))) -> (Function.Injective.{succ u1, succ u1} M M (FunLike.coe.{succ u1, succ u1, succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) x) 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 (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u2, u2, u2, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.addCommMonoid.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, u1} R R R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.addCommMonoid.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.lsmul.{u2, u1} R (CommRing.toCommSemiring.{u2} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) x)))
 Case conversion may be inaccurate. Consider using '#align linear_map.lsmul_injective LinearMap.lsmul_injectiveₓ'. -/
 theorem lsmul_injective [NoZeroSMulDivisors R M] {x : R} (hx : x ≠ 0) :
     Function.Injective (lsmul R M x) :=
@@ -680,7 +680,7 @@ theorem lsmul_injective [NoZeroSMulDivisors R M] {x : R} (hx : x ≠ 0) :
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_5 : AddCommGroup.{u2} M] [_inst_8 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)] [_inst_12 : NoZeroSMulDivisors.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_5))))) (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8))))] {a : R}, (Ne.{succ u1} R a (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))))))))) -> (Eq.{succ u2} (Submodule.{u1, u2} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8) (LinearMap.ker.{u1, u1, u2, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) (LinearMap.semilinearMapClass.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R 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_inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (LinearMap.module.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_8 (LinearMap.lsmul._proof_1.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8))) (fun (_x : LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (LinearMap.module.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_8 (LinearMap.lsmul._proof_1.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8))) => R -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8)) (LinearMap.hasCoeToFun.{u1, u1, u1, u2} R R R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (LinearMap.module.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_8 (LinearMap.lsmul._proof_1.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.lsmul.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8) a)) (Bot.bot.{u2} (Submodule.{u1, u2} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8) (Submodule.hasBot.{u1, u2} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8)))
 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommRing.{u2} R] [_inst_5 : AddCommGroup.{u1} M] [_inst_8 : Module.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5)] [_inst_12 : NoZeroSMulDivisors.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))] {a : R}, (Ne.{succ u2} R a (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))))) -> (Eq.{succ u1} (Submodule.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) (LinearMap.ker.{u2, u2, u1, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) a) (LinearMap.instSemilinearMapClassLinearMap.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u2, u2, u2, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.addCommMonoid.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, u1} R R R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.addCommMonoid.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.lsmul.{u2, u1} R (CommRing.toCommSemiring.{u2} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) a)) (Bot.bot.{u1} (Submodule.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) (Submodule.instBotSubmodule.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8)))
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommRing.{u2} R] [_inst_5 : AddCommGroup.{u1} M] [_inst_8 : Module.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5)] [_inst_12 : NoZeroSMulDivisors.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))] {a : R}, (Ne.{succ u2} R a (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))))) -> (Eq.{succ u1} (Submodule.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) (LinearMap.ker.{u2, u2, u1, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) a) (LinearMap.semilinearMapClass.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u2, u2, u2, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.addCommMonoid.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : R) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, u1} R R R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.addCommMonoid.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.lsmul.{u2, u1} R (CommRing.toCommSemiring.{u2} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) a)) (Bot.bot.{u1} (Submodule.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) (Submodule.instBotSubmodule.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8)))
 Case conversion may be inaccurate. Consider using '#align linear_map.ker_lsmul LinearMap.ker_lsmulₓ'. -/
 theorem ker_lsmul [NoZeroSMulDivisors R M] {a : R} (ha : a ≠ 0) : (LinearMap.lsmul R M a).ker = ⊥ :=
   LinearMap.ker_eq_bot_of_injective (LinearMap.lsmul_injective ha)

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

@@ -669,7 +669,7 @@ variable [Module R M] [Module S N] [Module R₂ P] [Module S₂ P]
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_5 : AddCommGroup.{u2} M] [_inst_8 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)] [_inst_12 : NoZeroSMulDivisors.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_5))))) (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8))))] {x : R}, (Ne.{succ u1} R x (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))))))))) -> (Function.Injective.{succ u2, succ u2} M M (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) 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u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R 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(CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8)) (LinearMap.hasCoeToFun.{u1, u1, u1, u2} R R R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (LinearMap.module.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_8 (LinearMap.lsmul._proof_1.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.lsmul.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8) x)))
 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommRing.{u2} R] [_inst_5 : AddCommGroup.{u1} M] [_inst_8 : Module.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5)] [_inst_12 : NoZeroSMulDivisors.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (Module.toMulActionWithZero.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))] {x : R}, (Ne.{succ u2} R x (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))))) -> 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_inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, u1} R R R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.addCommMonoid.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.lsmul.{u2, u1} R (CommRing.toCommSemiring.{u2} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) x)))
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommRing.{u2} R] [_inst_5 : AddCommGroup.{u1} M] [_inst_8 : Module.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5)] [_inst_12 : NoZeroSMulDivisors.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))] {x : R}, (Ne.{succ u2} R x (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))))) -> (Function.Injective.{succ u1, succ u1} M M (FunLike.coe.{succ u1, succ u1, succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) x) 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 (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u2, u2, u2, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.addCommMonoid.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, u1} R R R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.addCommMonoid.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.lsmul.{u2, u1} R (CommRing.toCommSemiring.{u2} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) x)))
 Case conversion may be inaccurate. Consider using '#align linear_map.lsmul_injective LinearMap.lsmul_injectiveₓ'. -/
 theorem lsmul_injective [NoZeroSMulDivisors R M] {x : R} (hx : x ≠ 0) :
     Function.Injective (lsmul R M x) :=
@@ -680,7 +680,7 @@ theorem lsmul_injective [NoZeroSMulDivisors R M] {x : R} (hx : x ≠ 0) :
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_5 : AddCommGroup.{u2} M] [_inst_8 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)] [_inst_12 : NoZeroSMulDivisors.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_5))))) (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8))))] {a : R}, (Ne.{succ u1} R a (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))))))))) -> (Eq.{succ u2} (Submodule.{u1, u2} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8) (LinearMap.ker.{u1, u1, u2, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) (LinearMap.semilinearMapClass.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (LinearMap.module.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_8 (LinearMap.lsmul._proof_1.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8))) (fun (_x : LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (LinearMap.module.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_8 (LinearMap.lsmul._proof_1.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8))) => R -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8)) (LinearMap.hasCoeToFun.{u1, u1, u1, u2} R R R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (LinearMap.module.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_8 (LinearMap.lsmul._proof_1.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.lsmul.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8) a)) (Bot.bot.{u2} (Submodule.{u1, u2} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8) (Submodule.hasBot.{u1, u2} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8)))
 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommRing.{u2} R] [_inst_5 : AddCommGroup.{u1} M] [_inst_8 : Module.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5)] [_inst_12 : NoZeroSMulDivisors.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (Module.toMulActionWithZero.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))] {a : R}, (Ne.{succ u2} R a (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))))) -> (Eq.{succ u1} (Submodule.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) (LinearMap.ker.{u2, u2, u1, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) a) (LinearMap.instSemilinearMapClassLinearMap.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u2, u2, u2, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R 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(Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, u1} R R R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.addCommMonoid.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.lsmul.{u2, u1} R (CommRing.toCommSemiring.{u2} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) a)) (Bot.bot.{u1} (Submodule.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) (Submodule.instBotSubmodule.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8)))
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommRing.{u2} R] [_inst_5 : AddCommGroup.{u1} M] [_inst_8 : Module.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5)] [_inst_12 : NoZeroSMulDivisors.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))] {a : R}, (Ne.{succ u2} R a (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))))) -> (Eq.{succ u1} (Submodule.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) (LinearMap.ker.{u2, u2, u1, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) a) (LinearMap.instSemilinearMapClassLinearMap.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u2, u2, u2, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.addCommMonoid.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, u1} R R R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.addCommMonoid.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.lsmul.{u2, u1} R (CommRing.toCommSemiring.{u2} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) a)) (Bot.bot.{u1} (Submodule.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) (Submodule.instBotSubmodule.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8)))
 Case conversion may be inaccurate. Consider using '#align linear_map.ker_lsmul LinearMap.ker_lsmulₓ'. -/
 theorem ker_lsmul [NoZeroSMulDivisors R M] {a : R} (ha : a ≠ 0) : (LinearMap.lsmul R M a).ker = ⊥ :=
   LinearMap.ker_eq_bot_of_injective (LinearMap.lsmul_injective ha)

mathlib commit https://github.com/leanprover-community/mathlib/commit/02ba8949f486ebecf93fe7460f1ed0564b5e442c

@@ -302,7 +302,7 @@ def domRestrict₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (q : Subm
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} (f : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (q : Submodule.{u2, u6} S N _inst_2 _inst_6 _inst_17) (x : M) (y : coeSort.{succ u6, succ (succ u6)} (Submodule.{u2, u6} S N _inst_2 _inst_6 _inst_17) Type.{u6} (SetLike.hasCoeToSort.{u6, u6} (Submodule.{u2, u6} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u6} 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 but is expected to have type
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(Submodule.addCommMonoid.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_7 (Submodule.module.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ (Subtype.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17)) x q)) P _inst_2 _inst_4 (Submodule.addCommMonoid.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_7 (Submodule.module.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) (LinearMap.domRestrict₂.{u7, u2, u6, u1, u5, u3, u4} R _inst_1 S _inst_2 R₂ _inst_3 S₂ _inst_4 M N P _inst_5 _inst_6 _inst_7 _inst_16 _inst_17 _inst_18 _inst_19 _inst_30 ρ₁₂ σ₁₂ f q) x) y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) x) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f x) (Subtype.val.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Set.{u3} N) (Set.instMembershipSet.{u3} N) x (SetLike.coe.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17) q)) y))
 Case conversion may be inaccurate. Consider using '#align linear_map.dom_restrict₂_apply LinearMap.domRestrict₂_applyₓ'. -/
 theorem domRestrict₂_apply (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (q : Submodule S N) (x : M) (y : q) :
     f.domRestrict₂ q x y = f x y :=
@@ -321,7 +321,7 @@ def domRestrict₁₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (p : S
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} (f : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (p : Submodule.{u1, u5} R M _inst_1 _inst_5 _inst_16) (q : Submodule.{u2, u6} S N _inst_2 _inst_6 _inst_17) (x : coeSort.{succ u5, succ (succ u5)} (Submodule.{u1, u5} R M _inst_1 _inst_5 _inst_16) Type.{u5} (SetLike.hasCoeToSort.{u5, u5} (Submodule.{u1, u5} R M _inst_1 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 but is expected to have type
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(Submodule.setLike.{u7, u5} R M _inst_1 _inst_5 _inst_16)) x p)) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : Subtype.{succ u5} M (fun (x : M) => Membership.mem.{u5, u5} M (Submodule.{u7, u5} R M _inst_1 _inst_5 _inst_16) (SetLike.instMembership.{u5, u5} (Submodule.{u7, u5} R M _inst_1 _inst_5 _inst_16) M (Submodule.setLike.{u7, u5} R M _inst_1 _inst_5 _inst_16)) x p)) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ (Subtype.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17)) x q)) P (Submodule.addCommMonoid.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_7 (Submodule.module.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ (Subtype.{succ u5} M (fun (x : M) => Membership.mem.{u5, u5} M (Submodule.{u7, u5} R M 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_inst_2 _inst_6 _inst_17)) x q)) P _inst_2 _inst_4 (Submodule.addCommMonoid.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_7 (Submodule.module.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_19 σ₁₂) (Submodule.module.{u7, u5} R M _inst_1 _inst_5 _inst_16 p) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ (Subtype.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17)) x q)) P _inst_2 _inst_4 (Submodule.addCommMonoid.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_7 (Submodule.module.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) (LinearMap.domRestrict₁₂.{u7, u2, u6, u1, u5, u3, u4} R _inst_1 S _inst_2 R₂ _inst_3 S₂ _inst_4 M N P _inst_5 _inst_6 _inst_7 _inst_16 _inst_17 _inst_18 _inst_19 _inst_30 ρ₁₂ σ₁₂ f p q) x) y) (FunLike.coe.{max 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(Submodule.setLike.{u7, u5} R M _inst_1 _inst_5 _inst_16) p)) x)) (Subtype.val.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Set.{u3} N) (Set.instMembershipSet.{u3} N) x (SetLike.coe.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u3} S N _inst_2 _inst_6 _inst_17) q)) y))
 Case conversion may be inaccurate. Consider using '#align linear_map.dom_restrict₁₂_apply LinearMap.domRestrict₁₂_applyₓ'. -/
 theorem domRestrict₁₂_apply (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (p : Submodule R M) (q : Submodule S N)
     (x : p) (y : q) : f.domRestrict₁₂ p q x y = f x y :=

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

@@ -82,7 +82,7 @@ variable (ρ₁₂ σ₁₂)
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] (ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) (σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) (f : M -> N -> P), (forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u7} P (f (HAdd.hAdd.{u5, u5, u5} M M M (instHAdd.{u5} M (AddZeroClass.toHasAdd.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u7, u7, u7} P P P (instHAdd.{u7} P (AddZeroClass.toHasAdd.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)))) (f m₁ n) (f m₂ n))) -> (forall (c : R) (m : M) (n : N), Eq.{succ u7} P (f (SMul.smul.{u1, u5} R M (SMulZeroClass.toHasSmul.{u1, u5} R M (AddZeroClass.toHasZero.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))) (SMulWithZero.toSmulZeroClass.{u1, u5} R M 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(HAdd.hAdd.{u7, u7, u7} P P P (instHAdd.{u7} P (AddZeroClass.toHasAdd.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)))) (f m n₁) (f m n₂))) -> (forall (c : S) (m : M) (n : N), Eq.{succ u7} P (f m (SMul.smul.{u2, u6} S N (SMulZeroClass.toHasSmul.{u2, u6} S N (AddZeroClass.toHasZero.{u6} N (AddMonoid.toAddZeroClass.{u6} N (AddCommMonoid.toAddMonoid.{u6} N _inst_6))) (SMulWithZero.toSmulZeroClass.{u2, u6} S N (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)))) (AddZeroClass.toHasZero.{u6} N (AddMonoid.toAddZeroClass.{u6} N (AddCommMonoid.toAddMonoid.{u6} N _inst_6))) (MulActionWithZero.toSMulWithZero.{u2, u6} S N (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddZeroClass.toHasZero.{u6} N (AddMonoid.toAddZeroClass.{u6} N (AddCommMonoid.toAddMonoid.{u6} N _inst_6))) (Module.toMulActionWithZero.{u2, u6} S N _inst_2 _inst_6 _inst_17)))) c n)) (SMul.smul.{u4, u7} S₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) (fun (_x : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) => S -> S₂) (RingHom.hasCoeToFun.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) σ₁₂ c) (f m n))) -> (LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30))
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toSMul.{u4, u7} S₂ P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u4, u7} S₂ P (MonoidWithZero.toZero.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u3, u7} R₂ P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u3, u7} R₂ P (MonoidWithZero.toZero.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] (ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) (σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) (f : M -> N -> P), (forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u7} P (f (HAdd.hAdd.{u5, u5, u5} M M M (instHAdd.{u5} M (AddZeroClass.toAdd.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u7, u7, u7} P P P (instHAdd.{u7} P (AddZeroClass.toAdd.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)))) (f m₁ n) (f m₂ n))) -> (forall (c : R) (m : M) (n : N), Eq.{succ u7} P (f (HSMul.hSMul.{u1, u5, u5} R M M (instHSMul.{u1, u5} R M (SMulZeroClass.toSMul.{u1, u5} R M (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u5} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u5} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)) (Module.toMulActionWithZero.{u1, u5} R M _inst_1 _inst_5 _inst_16))))) c m) n) (HSMul.hSMul.{u3, u7, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R₂) c) P P (instHSMul.{u3, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R₂) c) P (SMulZeroClass.toSMul.{u3, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R₂) c) P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u3, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R₂) c) P (MonoidWithZero.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R₂) c) (Semiring.toMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R₂) c) _inst_3)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u3, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R₂) c) P (Semiring.toMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R₂) c) _inst_3) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u3, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R₂) c) P _inst_3 _inst_7 _inst_18))))) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R₂) _x) (MulHomClass.toFunLike.{max u1 u3, u1, u3} (RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) R R₂ (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u3} R₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R₂ (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u1, u3} (RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) R R₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R₂ (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u1, u3} (RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3) (RingHom.instRingHomClassRingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3))))) ρ₁₂ c) (f m n))) -> (forall (m : M) (n₁ : N) (n₂ : N), Eq.{succ u7} P (f m (HAdd.hAdd.{u6, u6, u6} N N N (instHAdd.{u6} N (AddZeroClass.toAdd.{u6} N (AddMonoid.toAddZeroClass.{u6} N (AddCommMonoid.toAddMonoid.{u6} N _inst_6)))) n₁ n₂)) (HAdd.hAdd.{u7, u7, u7} P P P (instHAdd.{u7} P (AddZeroClass.toAdd.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)))) (f m n₁) (f m n₂))) -> (forall (c : S) (m : M) (n : N), Eq.{succ u7} P (f m (HSMul.hSMul.{u2, u6, u6} S N N (instHSMul.{u2, u6} S N (SMulZeroClass.toSMul.{u2, u6} S N (AddMonoid.toZero.{u6} N (AddCommMonoid.toAddMonoid.{u6} N _inst_6)) (SMulWithZero.toSMulZeroClass.{u2, u6} S N (MonoidWithZero.toZero.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)) (AddMonoid.toZero.{u6} N (AddCommMonoid.toAddMonoid.{u6} N _inst_6)) (MulActionWithZero.toSMulWithZero.{u2, u6} S N (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddMonoid.toZero.{u6} N (AddCommMonoid.toAddMonoid.{u6} N _inst_6)) (Module.toMulActionWithZero.{u2, u6} S N _inst_2 _inst_6 _inst_17))))) c n)) (HSMul.hSMul.{u4, u7, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => S₂) c) P P (instHSMul.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => S₂) c) P (SMulZeroClass.toSMul.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => S₂) c) P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => S₂) c) P (MonoidWithZero.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => S₂) c) (Semiring.toMonoidWithZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => S₂) c) _inst_4)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => S₂) c) P (Semiring.toMonoidWithZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => S₂) c) _inst_4) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => S₂) c) P _inst_4 _inst_7 _inst_19))))) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) S (fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => S₂) _x) (MulHomClass.toFunLike.{max u2 u4, u2, u4} (RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) S S₂ (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) (NonUnitalNonAssocSemiring.toMul.{u4} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u4, u2, u4} (RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) S S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u4, u2, u4} (RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4) (RingHom.instRingHomClassRingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4))))) σ₁₂ c) (f m n))) -> (LinearMap.{u1, u3, u5, max u7 u6} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30))
+  forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toSMul.{u4, u7} S₂ P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u4, u7} S₂ P (MonoidWithZero.toZero.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u3, u7} R₂ P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u3, u7} R₂ P (MonoidWithZero.toZero.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] (ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) (σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) (f : M -> N -> P), (forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u7} P (f (HAdd.hAdd.{u5, u5, u5} M M M (instHAdd.{u5} M (AddZeroClass.toAdd.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u7, u7, u7} P P P (instHAdd.{u7} P (AddZeroClass.toAdd.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)))) (f m₁ n) (f m₂ n))) -> (forall (c : R) (m : M) (n : N), Eq.{succ u7} P (f (HSMul.hSMul.{u1, u5, u5} R M M (instHSMul.{u1, u5} R M (SMulZeroClass.toSMul.{u1, u5} R M (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u5} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u5} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)) (Module.toMulActionWithZero.{u1, u5} R M _inst_1 _inst_5 _inst_16))))) c m) n) (HSMul.hSMul.{u3, u7, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) P P (instHSMul.{u3, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) P (SMulZeroClass.toSMul.{u3, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u3, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) P (MonoidWithZero.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) (Semiring.toMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) _inst_3)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u3, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) P (Semiring.toMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) _inst_3) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u3, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) P _inst_3 _inst_7 _inst_18))))) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) _x) (MulHomClass.toFunLike.{max u1 u3, u1, u3} (RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) R R₂ (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u3} R₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R₂ (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u1, u3} (RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) R R₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R₂ (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u1, u3} (RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3) (RingHom.instRingHomClassRingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3))))) ρ₁₂ c) (f m n))) -> (forall (m : M) (n₁ : N) (n₂ : N), Eq.{succ u7} P (f m (HAdd.hAdd.{u6, u6, u6} N N N (instHAdd.{u6} N (AddZeroClass.toAdd.{u6} N (AddMonoid.toAddZeroClass.{u6} N (AddCommMonoid.toAddMonoid.{u6} N _inst_6)))) n₁ n₂)) (HAdd.hAdd.{u7, u7, u7} P P P (instHAdd.{u7} P (AddZeroClass.toAdd.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)))) (f m n₁) (f m n₂))) -> (forall (c : S) (m : M) (n : N), Eq.{succ u7} P (f m (HSMul.hSMul.{u2, u6, u6} S N N (instHSMul.{u2, u6} S N (SMulZeroClass.toSMul.{u2, u6} S N (AddMonoid.toZero.{u6} N (AddCommMonoid.toAddMonoid.{u6} N _inst_6)) (SMulWithZero.toSMulZeroClass.{u2, u6} S N (MonoidWithZero.toZero.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)) (AddMonoid.toZero.{u6} N (AddCommMonoid.toAddMonoid.{u6} N _inst_6)) (MulActionWithZero.toSMulWithZero.{u2, u6} S N (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddMonoid.toZero.{u6} N (AddCommMonoid.toAddMonoid.{u6} N _inst_6)) (Module.toMulActionWithZero.{u2, u6} S N _inst_2 _inst_6 _inst_17))))) c n)) (HSMul.hSMul.{u4, u7, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) P P (instHSMul.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) P (SMulZeroClass.toSMul.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) P (MonoidWithZero.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) (Semiring.toMonoidWithZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) _inst_4)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) P (Semiring.toMonoidWithZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) _inst_4) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) P _inst_4 _inst_7 _inst_19))))) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) S (fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) _x) (MulHomClass.toFunLike.{max u2 u4, u2, u4} (RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) S S₂ (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) (NonUnitalNonAssocSemiring.toMul.{u4} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u4, u2, u4} (RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) S S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u4, u2, u4} (RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4) (RingHom.instRingHomClassRingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4))))) σ₁₂ c) (f m n))) -> (LinearMap.{u1, u3, u5, max u7 u6} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30))
 Case conversion may be inaccurate. Consider using '#align linear_map.mk₂'ₛₗ LinearMap.mk₂'ₛₗₓ'. -/
 /-- Create a bilinear map from a function that is semilinear in each component.
 See `mk₂'` and `mk₂` for the linear case. -/
@@ -105,7 +105,7 @@ variable {ρ₁₂ σ₁₂}
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} (f : M -> N -> P) {H1 : forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u7} P (f (HAdd.hAdd.{u5, u5, u5} M M M (instHAdd.{u5} M (AddZeroClass.toHasAdd.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u7, u7, u7} P P P (instHAdd.{u7} P (AddZeroClass.toHasAdd.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)))) (f m₁ n) (f m₂ n))} {H2 : forall (c : R) (m : M) (n : N), Eq.{succ u7} P (f (SMul.smul.{u1, u5} R M (SMulZeroClass.toHasSmul.{u1, u5} R M (AddZeroClass.toHasZero.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))) (SMulWithZero.toSmulZeroClass.{u1, u5} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))) (MulActionWithZero.toSMulWithZero.{u1, u5} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))) (Module.toMulActionWithZero.{u1, u5} R M _inst_1 _inst_5 _inst_16)))) c m) n) (SMul.smul.{u3, u7} R₂ P (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18)))) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) (fun (_x : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) => R -> R₂) (RingHom.hasCoeToFun.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) ρ₁₂ c) (f m n))} {H3 : forall (m : M) (n₁ : N) (n₂ : N), Eq.{succ u7} P (f m (HAdd.hAdd.{u6, u6, u6} N N N (instHAdd.{u6} N (AddZeroClass.toHasAdd.{u6} N (AddMonoid.toAddZeroClass.{u6} N (AddCommMonoid.toAddMonoid.{u6} N _inst_6)))) n₁ n₂)) 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(SMul.smul.{u4, u7} S₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (coeFn.{max (succ u2) (succ u4), max (succ u2) (succ u4)} (RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) (fun (_x : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S 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 but is expected to have type
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_inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u4, u3, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u5, u4, u6, max u3 u7} R R₂ M (LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u4, u3, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) (LinearMap.mk₂'ₛₗ.{u5, u2, u4, u1, u6, u3, u7} R _inst_1 S _inst_2 R₂ _inst_3 S₂ _inst_4 M N P _inst_5 _inst_6 _inst_7 _inst_16 _inst_17 _inst_18 _inst_19 _inst_30 ρ₁₂ σ₁₂ f H1 H2 H3 H4) m) n) (f m n)
+  forall {R : Type.{u5}} [_inst_1 : Semiring.{u5} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u4}} [_inst_3 : Semiring.{u4} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u6}} {N : Type.{u3}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u6} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u5, u6} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u4, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u4, u7} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u7} S₂ P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u7} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u7} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u1, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u4, u7} R₂ P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u4, u7} R₂ P (MonoidWithZero.toZero.{u4} R₂ (Semiring.toMonoidWithZero.{u4} R₂ _inst_3)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u4, u7} R₂ P (Semiring.toMonoidWithZero.{u4} R₂ _inst_3) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u4, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : M -> N -> P) {H1 : forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u7} P (f (HAdd.hAdd.{u6, u6, u6} M M M (instHAdd.{u6} M (AddZeroClass.toAdd.{u6} M (AddMonoid.toAddZeroClass.{u6} M (AddCommMonoid.toAddMonoid.{u6} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u7, u7, u7} P P P (instHAdd.{u7} P (AddZeroClass.toAdd.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)))) (f m₁ n) (f m₂ n))} {H2 : forall (c : R) (m : M) (n : N), Eq.{succ u7} P (f (HSMul.hSMul.{u5, u6, u6} R M M (instHSMul.{u5, u6} R M (SMulZeroClass.toSMul.{u5, u6} R M (AddMonoid.toZero.{u6} M (AddCommMonoid.toAddMonoid.{u6} M _inst_5)) (SMulWithZero.toSMulZeroClass.{u5, u6} R M (MonoidWithZero.toZero.{u5} R (Semiring.toMonoidWithZero.{u5} R _inst_1)) (AddMonoid.toZero.{u6} M (AddCommMonoid.toAddMonoid.{u6} M _inst_5)) (MulActionWithZero.toSMulWithZero.{u5, u6} R M (Semiring.toMonoidWithZero.{u5} R _inst_1) (AddMonoid.toZero.{u6} M (AddCommMonoid.toAddMonoid.{u6} M _inst_5)) (Module.toMulActionWithZero.{u5, u6} R M _inst_1 _inst_5 _inst_16))))) c m) n) (HSMul.hSMul.{u4, u7, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) P P (instHSMul.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) P (SMulZeroClass.toSMul.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) P (MonoidWithZero.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) (Semiring.toMonoidWithZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) _inst_3)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) P (Semiring.toMonoidWithZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) _inst_3) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) c) P _inst_3 _inst_7 _inst_18))))) (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} (RingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => R₂) _x) (MulHomClass.toFunLike.{max u5 u4, u5, u4} (RingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)) R R₂ (NonUnitalNonAssocSemiring.toMul.{u5} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u5} R (Semiring.toNonAssocSemiring.{u5} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u4} R₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R₂ (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u5 u4, u5, u4} (RingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)) R R₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u5} R (Semiring.toNonAssocSemiring.{u5} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} R₂ (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u5 u4, u5, u4} (RingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)) R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3) (RingHom.instRingHomClassRingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3))))) ρ₁₂ c) (f m n))} {H3 : forall (m : M) (n₁ : N) (n₂ : N), Eq.{succ u7} P (f m (HAdd.hAdd.{u3, u3, u3} N N N (instHAdd.{u3} N (AddZeroClass.toAdd.{u3} N (AddMonoid.toAddZeroClass.{u3} N (AddCommMonoid.toAddMonoid.{u3} N _inst_6)))) n₁ n₂)) (HAdd.hAdd.{u7, u7, u7} P P P (instHAdd.{u7} P (AddZeroClass.toAdd.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)))) (f m n₁) (f m n₂))} {H4 : forall (c : S) (m : M) (n : N), Eq.{succ u7} P (f m (HSMul.hSMul.{u2, u3, u3} S N N (instHSMul.{u2, u3} S N (SMulZeroClass.toSMul.{u2, u3} S N (AddMonoid.toZero.{u3} N (AddCommMonoid.toAddMonoid.{u3} N _inst_6)) (SMulWithZero.toSMulZeroClass.{u2, u3} S N (MonoidWithZero.toZero.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)) (AddMonoid.toZero.{u3} N (AddCommMonoid.toAddMonoid.{u3} N _inst_6)) (MulActionWithZero.toSMulWithZero.{u2, u3} S N (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddMonoid.toZero.{u3} N (AddCommMonoid.toAddMonoid.{u3} N _inst_6)) (Module.toMulActionWithZero.{u2, u3} S N _inst_2 _inst_6 _inst_17))))) c n)) (HSMul.hSMul.{u1, u7, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) P P (instHSMul.{u1, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) P (SMulZeroClass.toSMul.{u1, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) P (MonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) _inst_4)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) P (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) _inst_4) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u1, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) c) P _inst_4 _inst_7 _inst_19))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) S (fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : S) => S₂) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) S S₂ (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) (NonUnitalNonAssocSemiring.toMul.{u1} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S₂ (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) S S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S₂ (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4) (RingHom.instRingHomClassRingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4))))) σ₁₂ c) (f m n))} (m : M) (n : N), Eq.{succ u7} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) n) (FunLike.coe.{max (succ u3) (succ u7), succ u3, succ u7} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) m) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u6) (succ u3)) (succ u7), succ u6, max (succ u3) (succ u7)} (LinearMap.{u5, u4, u6, max u7 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u4, u3, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u5, u4, u6, max u3 u7} R R₂ M (LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u4, u3, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) (LinearMap.mk₂'ₛₗ.{u5, u2, u4, u1, u6, u3, u7} R _inst_1 S _inst_2 R₂ _inst_3 S₂ _inst_4 M N P _inst_5 _inst_6 _inst_7 _inst_16 _inst_17 _inst_18 _inst_19 _inst_30 ρ₁₂ σ₁₂ f H1 H2 H3 H4) m) n) (f m n)
 Case conversion may be inaccurate. Consider using '#align linear_map.mk₂'ₛₗ_apply LinearMap.mk₂'ₛₗ_applyₓ'. -/
 @[simp]
 theorem mk₂'ₛₗ_apply (f : M → N → P) {H1 H2 H3 H4} (m : M) (n : N) :
@@ -136,7 +136,7 @@ variable {R S}
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {M : Type.{u3}} {N : Type.{u4}} {Pₗ : Type.{u5}} [_inst_5 : AddCommMonoid.{u3} M] [_inst_6 : AddCommMonoid.{u4} N] [_inst_12 : AddCommMonoid.{u5} Pₗ] [_inst_16 : Module.{u1, u3} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u4} S N _inst_2 _inst_6] [_inst_24 : Module.{u1, u5} R Pₗ _inst_1 _inst_12] [_inst_25 : Module.{u2, u5} S Pₗ _inst_2 _inst_12] [_inst_31 : SMulCommClass.{u2, u1, u5} S R Pₗ (SMulZeroClass.toHasSmul.{u2, u5} S Pₗ (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (SMulWithZero.toSmulZeroClass.{u2, u5} S Pₗ (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)))) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (MulActionWithZero.toSMulWithZero.{u2, u5} S Pₗ (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (Module.toMulActionWithZero.{u2, u5} S Pₗ _inst_2 _inst_12 _inst_25)))) (SMulZeroClass.toHasSmul.{u1, u5} R Pₗ (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (SMulWithZero.toSmulZeroClass.{u1, u5} R Pₗ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (MulActionWithZero.toSMulWithZero.{u1, u5} R Pₗ (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (Module.toMulActionWithZero.{u1, u5} R Pₗ _inst_1 _inst_12 _inst_24))))] (f : M -> N -> Pₗ) {H1 : forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u5} Pₗ (f (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toHasAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u5, u5, u5} Pₗ Pₗ Pₗ (instHAdd.{u5} Pₗ (AddZeroClass.toHasAdd.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)))) (f m₁ n) (f m₂ n))} {H2 : forall (c : R) (m : M) (n : N), Eq.{succ u5} Pₗ (f (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_5))) (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_5))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M 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S N (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_6))) (Module.toMulActionWithZero.{u2, u4} S N _inst_2 _inst_6 _inst_17)))) c n)) (SMul.smul.{u2, u5} S Pₗ (SMulZeroClass.toHasSmul.{u2, u5} S Pₗ (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (SMulWithZero.toSmulZeroClass.{u2, u5} S Pₗ (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)))) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (MulActionWithZero.toSMulWithZero.{u2, u5} S Pₗ (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (Module.toMulActionWithZero.{u2, u5} S Pₗ _inst_2 _inst_12 _inst_25)))) c 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S N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) _inst_16 (LinearMap.module.{u2, u2, u1, u4, u5} S S R N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) _inst_1 _inst_24 _inst_31)) (fun (_x : LinearMap.{u1, u1, u3, max u4 u5} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M (LinearMap.{u2, u2, u4, u5} S S _inst_2 _inst_2 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) _inst_5 (LinearMap.addCommMonoid.{u2, u2, u4, u5} S S N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) _inst_16 (LinearMap.module.{u2, u2, u1, u4, u5} S S R N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) _inst_1 _inst_24 _inst_31)) => M -> (LinearMap.{u2, u2, u4, u5} S S _inst_2 _inst_2 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25)) (LinearMap.hasCoeToFun.{u1, u1, u3, max u4 u5} R R M (LinearMap.{u2, u2, u4, u5} S S _inst_2 _inst_2 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) _inst_1 _inst_1 _inst_5 (LinearMap.addCommMonoid.{u2, u2, u4, u5} S S N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) _inst_16 (LinearMap.module.{u2, u2, u1, u4, u5} S S R N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) _inst_1 _inst_24 _inst_31) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (LinearMap.mk₂'.{u1, u2, u3, u4, u5} R _inst_1 S _inst_2 M N Pₗ _inst_5 _inst_6 _inst_12 _inst_16 _inst_17 _inst_24 _inst_25 _inst_31 f H1 H2 H3 H4) m) n) (f m n)
 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : Semiring.{u3} R] {S : Type.{u1}} [_inst_2 : Semiring.{u1} S] {M : Type.{u4}} {N : Type.{u2}} {Pₗ : Type.{u5}} [_inst_5 : AddCommMonoid.{u4} M] [_inst_6 : AddCommMonoid.{u2} N] [_inst_12 : AddCommMonoid.{u5} Pₗ] [_inst_16 : Module.{u3, u4} R M _inst_1 _inst_5] [_inst_17 : Module.{u1, u2} S N _inst_2 _inst_6] [_inst_24 : Module.{u3, u5} R Pₗ _inst_1 _inst_12] [_inst_25 : Module.{u1, u5} S Pₗ _inst_2 _inst_12] [_inst_31 : SMulCommClass.{u1, u3, u5} S R Pₗ (SMulZeroClass.toSMul.{u1, u5} S Pₗ (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (SMulWithZero.toSMulZeroClass.{u1, u5} S Pₗ (MonoidWithZero.toZero.{u1} S (Semiring.toMonoidWithZero.{u1} S _inst_2)) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (MulActionWithZero.toSMulWithZero.{u1, u5} S Pₗ (Semiring.toMonoidWithZero.{u1} S _inst_2) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (Module.toMulActionWithZero.{u1, u5} S Pₗ 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_inst_12 _inst_17 _inst_25 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u3, u2, u5} S S R N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) _inst_1 _inst_24 _inst_31)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => LinearMap.{u1, u1, u2, u5} S S _inst_2 _inst_2 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u4, max u2 u5} R R M (LinearMap.{u1, u1, u2, u5} S S _inst_2 _inst_2 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) _inst_1 _inst_1 _inst_5 (LinearMap.addCommMonoid.{u1, u1, u2, u5} S S N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u3, u2, u5} S S R N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) _inst_1 _inst_24 _inst_31) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1))) (LinearMap.mk₂'.{u3, u1, u4, u2, u5} R _inst_1 S _inst_2 M N Pₗ _inst_5 _inst_6 _inst_12 _inst_16 _inst_17 _inst_24 _inst_25 _inst_31 f H1 H2 H3 H4) m) n) (f m n)
+  forall {R : Type.{u3}} [_inst_1 : Semiring.{u3} R] {S : Type.{u1}} [_inst_2 : Semiring.{u1} S] {M : Type.{u4}} {N : Type.{u2}} {Pₗ : Type.{u5}} [_inst_5 : AddCommMonoid.{u4} M] [_inst_6 : AddCommMonoid.{u2} N] [_inst_12 : AddCommMonoid.{u5} Pₗ] [_inst_16 : Module.{u3, u4} R M _inst_1 _inst_5] [_inst_17 : Module.{u1, u2} S N _inst_2 _inst_6] [_inst_24 : Module.{u3, u5} R Pₗ _inst_1 _inst_12] [_inst_25 : Module.{u1, u5} S Pₗ _inst_2 _inst_12] [_inst_31 : SMulCommClass.{u1, u3, u5} S R Pₗ (SMulZeroClass.toSMul.{u1, u5} S Pₗ (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (SMulWithZero.toSMulZeroClass.{u1, u5} S Pₗ (MonoidWithZero.toZero.{u1} S (Semiring.toMonoidWithZero.{u1} S _inst_2)) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (MulActionWithZero.toSMulWithZero.{u1, u5} S Pₗ (Semiring.toMonoidWithZero.{u1} S _inst_2) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (Module.toMulActionWithZero.{u1, u5} S Pₗ _inst_2 _inst_12 _inst_25)))) (SMulZeroClass.toSMul.{u3, u5} R Pₗ (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (SMulWithZero.toSMulZeroClass.{u3, u5} R Pₗ (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (MulActionWithZero.toSMulWithZero.{u3, u5} R Pₗ (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (Module.toMulActionWithZero.{u3, u5} R Pₗ _inst_1 _inst_12 _inst_24))))] (f : M -> N -> Pₗ) {H1 : forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u5} Pₗ (f (HAdd.hAdd.{u4, u4, u4} M M M (instHAdd.{u4} M (AddZeroClass.toAdd.{u4} M (AddMonoid.toAddZeroClass.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u5, u5, u5} Pₗ Pₗ Pₗ (instHAdd.{u5} Pₗ (AddZeroClass.toAdd.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)))) (f m₁ n) (f m₂ n))} {H2 : forall (c : R) (m : M) (n : N), Eq.{succ u5} Pₗ (f (HSMul.hSMul.{u3, u4, u4} R M M (instHSMul.{u3, u4} R M (SMulZeroClass.toSMul.{u3, u4} R M (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_5)) (SMulWithZero.toSMulZeroClass.{u3, u4} R M (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_5)) (MulActionWithZero.toSMulWithZero.{u3, u4} R M (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u4} M (AddCommMonoid.toAddMonoid.{u4} M _inst_5)) (Module.toMulActionWithZero.{u3, u4} R M _inst_1 _inst_5 _inst_16))))) c m) n) (HSMul.hSMul.{u3, u5, u5} R Pₗ Pₗ (instHSMul.{u3, u5} R Pₗ (SMulZeroClass.toSMul.{u3, u5} R Pₗ (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (SMulWithZero.toSMulZeroClass.{u3, u5} R Pₗ (MonoidWithZero.toZero.{u3} R (Semiring.toMonoidWithZero.{u3} R _inst_1)) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (MulActionWithZero.toSMulWithZero.{u3, u5} R Pₗ (Semiring.toMonoidWithZero.{u3} R _inst_1) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (Module.toMulActionWithZero.{u3, u5} R Pₗ _inst_1 _inst_12 _inst_24))))) c (f m n))} {H3 : forall (m : M) (n₁ : N) (n₂ : N), Eq.{succ u5} Pₗ (f m (HAdd.hAdd.{u2, u2, u2} N N N (instHAdd.{u2} N (AddZeroClass.toAdd.{u2} N (AddMonoid.toAddZeroClass.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_6)))) n₁ n₂)) (HAdd.hAdd.{u5, u5, u5} Pₗ Pₗ Pₗ (instHAdd.{u5} Pₗ (AddZeroClass.toAdd.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)))) (f m n₁) (f m n₂))} {H4 : forall (c : S) (m : M) (n : N), Eq.{succ u5} Pₗ (f m (HSMul.hSMul.{u1, u2, u2} S N N (instHSMul.{u1, u2} S N (SMulZeroClass.toSMul.{u1, u2} S N (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_6)) (SMulWithZero.toSMulZeroClass.{u1, u2} S N (MonoidWithZero.toZero.{u1} S (Semiring.toMonoidWithZero.{u1} S _inst_2)) (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_6)) (MulActionWithZero.toSMulWithZero.{u1, u2} S N (Semiring.toMonoidWithZero.{u1} S _inst_2) (AddMonoid.toZero.{u2} N (AddCommMonoid.toAddMonoid.{u2} N _inst_6)) (Module.toMulActionWithZero.{u1, u2} S N _inst_2 _inst_6 _inst_17))))) c n)) (HSMul.hSMul.{u1, u5, u5} S Pₗ Pₗ (instHSMul.{u1, u5} S Pₗ (SMulZeroClass.toSMul.{u1, u5} S Pₗ (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (SMulWithZero.toSMulZeroClass.{u1, u5} S Pₗ (MonoidWithZero.toZero.{u1} S (Semiring.toMonoidWithZero.{u1} S _inst_2)) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (MulActionWithZero.toSMulWithZero.{u1, u5} S Pₗ (Semiring.toMonoidWithZero.{u1} S _inst_2) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (Module.toMulActionWithZero.{u1, u5} S Pₗ _inst_2 _inst_12 _inst_25))))) c (f m n))} (m : M) (n : N), Eq.{succ u5} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => Pₗ) n) (FunLike.coe.{max (succ u2) (succ u5), succ u2, succ u5} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u1, u1, u2, u5} S S _inst_2 _inst_2 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) m) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => Pₗ) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u5} S S N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u5), succ u4, max (succ u2) (succ u5)} (LinearMap.{u3, u3, u4, max u5 u2} R R _inst_1 _inst_1 (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1)) M (LinearMap.{u1, u1, u2, u5} S S _inst_2 _inst_2 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) _inst_5 (LinearMap.addCommMonoid.{u1, u1, u2, u5} S S N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u3, u2, u5} S S R N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) _inst_1 _inst_24 _inst_31)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u1, u1, u2, u5} S S _inst_2 _inst_2 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, u4, max u2 u5} R R M (LinearMap.{u1, u1, u2, u5} S S _inst_2 _inst_2 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) _inst_1 _inst_1 _inst_5 (LinearMap.addCommMonoid.{u1, u1, u2, u5} S S N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2))) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u3, u2, u5} S S R N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u1} S (Semiring.toNonAssocSemiring.{u1} S _inst_2)) _inst_1 _inst_24 _inst_31) (RingHom.id.{u3} R (Semiring.toNonAssocSemiring.{u3} R _inst_1))) (LinearMap.mk₂'.{u3, u1, u4, u2, u5} R _inst_1 S _inst_2 M N Pₗ _inst_5 _inst_6 _inst_12 _inst_16 _inst_17 _inst_24 _inst_25 _inst_31 f H1 H2 H3 H4) m) n) (f m n)
 Case conversion may be inaccurate. Consider using '#align linear_map.mk₂'_apply LinearMap.mk₂'_applyₓ'. -/
 @[simp]
 theorem mk₂'_apply (f : M → N → Pₗ) {H1 H2 H3 H4} (m : M) (n : N) :
@@ -148,7 +148,7 @@ theorem mk₂'_apply (f : M → N → Pₗ) {H1 H2 H3 H4} (m : M) (n : N) :
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} {f : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)} {g : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)}, (forall (m : M) (n : N), Eq.{succ u7} P (coeFn.{max (succ u6) (succ u7), max (succ u6) (succ u7)} (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (fun (_x : LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) => N -> P) (LinearMap.hasCoeToFun.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (coeFn.{max (succ u5) (succ (max u6 u7)), max (succ u5) (succ (max u6 u7))} (LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 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 but is expected to have type
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+  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P 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u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) g m) n)) -> (Eq.{max (max (succ u5) (succ u3)) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) f g)
 Case conversion may be inaccurate. Consider using '#align linear_map.ext₂ LinearMap.ext₂ₓ'. -/
 theorem ext₂ {f g : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P} (H : ∀ m n, f m n = g m n) : f = g :=
   LinearMap.ext fun m => LinearMap.ext fun n => H m n
@@ -158,7 +158,7 @@ theorem ext₂ {f g : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P} (H : ∀ m
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} {f : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)} {g : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)}, (Eq.{max (succ u5) (succ (max u6 u7))} (LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) f g) -> (forall (x : M) (y : N), Eq.{succ u7} P (coeFn.{max (succ u6) (succ u7), max (succ u6) (succ u7)} (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (fun (_x : LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) => N -> P) (LinearMap.hasCoeToFun.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (coeFn.{max (succ u5) (succ (max u6 u7)), max (succ u5) (succ (max u6 u7))} (LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (fun (_x : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) => M -> (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19)) (LinearMap.hasCoeToFun.{u1, u3, u5, max u6 u7} R R₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f x) y) (coeFn.{max (succ u6) (succ u7), max (succ u6) (succ u7)} (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (fun (_x : LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) => N -> P) (LinearMap.hasCoeToFun.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (coeFn.{max (succ u5) (succ (max u6 u7)), max (succ u5) (succ (max u6 u7))} (LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 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(LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) g x) y))
 but is expected to have type
-  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} {f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 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(LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) f g) -> (forall (x : M) (y : N), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P) y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) x) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f x) y) (FunLike.coe.{max (succ 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LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) g x) y))
+  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} {f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)} {g : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)}, (Eq.{max (max (succ u5) (succ u3)) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) f g) -> (forall (x : M) (y : N), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) x) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f x) y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) x) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) g x) y))
 Case conversion may be inaccurate. Consider using '#align linear_map.congr_fun₂ LinearMap.congr_fun₂ₓ'. -/
 theorem congr_fun₂ {f g : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P} (h : f = g) (x y) : f x y = g x y :=
   LinearMap.congr_fun (LinearMap.congr_fun h x) y
@@ -184,7 +184,7 @@ end
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} (f : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (m : M) (n : N), Eq.{succ u7} P (coeFn.{max (succ u5) (succ u7), max (succ u5) (succ u7)} (LinearMap.{u1, u3, u5, u7} R R₂ _inst_1 _inst_3 ρ₁₂ M P _inst_5 _inst_7 _inst_16 _inst_18) (fun (_x : LinearMap.{u1, u3, u5, u7} R R₂ _inst_1 _inst_3 ρ₁₂ M P _inst_5 _inst_7 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 but is expected to have type
-  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (m : M) (n : N), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => P) m) (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => LinearMap.{u7, u6, u5, u4} R R₂ _inst_1 _inst_3 ρ₁₂ M P _inst_5 _inst_7 _inst_16 _inst_18) n) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => P) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, u4} R R₂ M P _inst_1 _inst_3 _inst_5 _inst_7 _inst_16 _inst_18 ρ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u3, max (succ u5) (succ u4)} (LinearMap.{u2, u1, u3, max u4 u5} S S₂ _inst_2 _inst_4 σ₁₂ N 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u1, u5, u4} R R₂ S₂ M P _inst_1 _inst_3 _inst_5 _inst_7 _inst_16 _inst_18 ρ₁₂ _inst_4 _inst_19 (SMulCommClass.symm.{u4, u6, u1} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18)))) _inst_30)) σ₁₂) (LinearMap.flip.{u7, u2, u6, u1, u5, u3, u4} R _inst_1 S _inst_2 R₂ _inst_3 S₂ _inst_4 M N P _inst_5 _inst_6 _inst_7 _inst_16 _inst_17 _inst_18 _inst_19 _inst_30 ρ₁₂ σ₁₂ f) n) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) m) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 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+  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (m : M) (n : N), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => P) m) (FunLike.coe.{max (succ u5) (succ u4), succ u5, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => LinearMap.{u7, u6, u5, u4} R R₂ _inst_1 _inst_3 ρ₁₂ M P _inst_5 _inst_7 _inst_16 _inst_18) n) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => P) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, u4} R R₂ M P _inst_1 _inst_3 _inst_5 _inst_7 _inst_16 _inst_18 ρ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u3, max (succ u5) (succ u4)} (LinearMap.{u2, u1, u3, max u4 u5} S S₂ _inst_2 _inst_4 σ₁₂ N (LinearMap.{u7, u6, u5, u4} R R₂ _inst_1 _inst_3 ρ₁₂ M P _inst_5 _inst_7 _inst_16 _inst_18) _inst_6 (LinearMap.addCommMonoid.{u7, u6, u5, u4} R R₂ M P _inst_1 _inst_3 _inst_5 _inst_7 _inst_16 _inst_18 ρ₁₂) _inst_17 (LinearMap.instModuleLinearMapAddCommMonoid.{u7, u6, u1, u5, u4} R R₂ S₂ M P _inst_1 _inst_3 _inst_5 _inst_7 _inst_16 _inst_18 ρ₁₂ _inst_4 _inst_19 (SMulCommClass.symm.{u4, u6, u1} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18)))) _inst_30))) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => LinearMap.{u7, u6, u5, u4} R R₂ _inst_1 _inst_3 ρ₁₂ M P _inst_5 _inst_7 _inst_16 _inst_18) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, max u5 u4} S S₂ N (LinearMap.{u7, u6, u5, u4} R R₂ _inst_1 _inst_3 ρ₁₂ M P _inst_5 _inst_7 _inst_16 _inst_18) _inst_2 _inst_4 _inst_6 (LinearMap.addCommMonoid.{u7, u6, u5, u4} R R₂ M P _inst_1 _inst_3 _inst_5 _inst_7 _inst_16 _inst_18 ρ₁₂) _inst_17 (LinearMap.instModuleLinearMapAddCommMonoid.{u7, u6, u1, u5, u4} R R₂ S₂ M P _inst_1 _inst_3 _inst_5 _inst_7 _inst_16 _inst_18 ρ₁₂ _inst_4 _inst_19 (SMulCommClass.symm.{u4, u6, u1} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18)))) _inst_30)) σ₁₂) (LinearMap.flip.{u7, u2, u6, u1, u5, u3, u4} R _inst_1 S _inst_2 R₂ _inst_3 S₂ _inst_4 M N P _inst_5 _inst_6 _inst_7 _inst_16 _inst_17 _inst_18 _inst_19 _inst_30 ρ₁₂ σ₁₂ f) n) m) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) m) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f m) n)
 Case conversion may be inaccurate. Consider using '#align linear_map.flip_apply LinearMap.flip_applyₓ'. -/
 @[simp]
 theorem flip_apply (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (m : M) (n : N) : flip f n m = f m n :=
@@ -220,7 +220,7 @@ theorem flip_inj {f g : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P} (H : flip
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} (f : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (y : N), Eq.{succ u7} P (coeFn.{max (succ u6) (succ u7), max (succ u6) (succ u7)} (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (fun (_x : LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) => N -> P) (LinearMap.hasCoeToFun.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (coeFn.{max (succ u5) (succ (max u6 u7)), max (succ u5) (succ (max u6 u7))} (LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (fun (_x : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) => M -> (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19)) (LinearMap.hasCoeToFun.{u1, u3, u5, max u6 u7} R R₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f (OfNat.ofNat.{u5} M 0 (OfNat.mk.{u5} M 0 (Zero.zero.{u5} M (AddZeroClass.toHasZero.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))))))) y) (OfNat.ofNat.{u7} P 0 (OfNat.mk.{u7} P 0 (Zero.zero.{u7} P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))))))
 but is expected to have type
-  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (y : N), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P) y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (OfNat.ofNat.{u5} M 0 (Zero.toOfNat0.{u5} M (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))))) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f (OfNat.ofNat.{u5} M 0 (Zero.toOfNat0.{u5} M (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))))) y) (OfNat.ofNat.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P) y) 0 (Zero.toOfNat0.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P) y) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P) y) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P) y) _inst_7))))
+  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (y : N), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (OfNat.ofNat.{u5} M 0 (Zero.toOfNat0.{u5} M (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))))) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f (OfNat.ofNat.{u5} M 0 (Zero.toOfNat0.{u5} M (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))))) y) (OfNat.ofNat.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) y) 0 (Zero.toOfNat0.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) y) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) y) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) y) _inst_7))))
 Case conversion may be inaccurate. Consider using '#align linear_map.map_zero₂ LinearMap.map_zero₂ₓ'. -/
 theorem map_zero₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (y) : f 0 y = 0 :=
   (flip f y).map_zero
@@ -230,7 +230,7 @@ theorem map_zero₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (y) : f
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {N : Type.{u5}} {M' : Type.{u6}} {P' : Type.{u7}} [_inst_6 : AddCommMonoid.{u5} N] [_inst_13 : AddCommGroup.{u6} M'] [_inst_15 : AddCommGroup.{u7} P'] [_inst_17 : Module.{u2, u5} S N _inst_2 _inst_6] [_inst_26 : Module.{u1, u6} R M' _inst_1 (AddCommGroup.toAddCommMonoid.{u6} M' _inst_13)] [_inst_28 : Module.{u3, u7} R₂ P' _inst_3 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)] [_inst_29 : Module.{u4, u7} S₂ P' _inst_4 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)] [_inst_32 : SMulCommClass.{u4, u3, u7} S₂ R₂ P' (SMulZeroClass.toHasSmul.{u4, u7} S₂ P' (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P' (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P' (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (Module.toMulActionWithZero.{u4, u7} S₂ P' _inst_4 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_29)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P' (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P' (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P' (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (Module.toMulActionWithZero.{u3, u7} R₂ P' _inst_3 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_28))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} (f : LinearMap.{u1, u3, u6, max u5 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u6} M' _inst_13) (LinearMap.addCommMonoid.{u2, u4, u5, u7} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.module.{u2, u4, u3, u5, u7} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) (x : M') (y : N), Eq.{succ u7} P' (coeFn.{max (succ u5) (succ u7), max (succ u5) (succ u7)} (LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29) (fun (_x : LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29) => N -> P') (LinearMap.hasCoeToFun.{u2, u4, u5, u7} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂) (coeFn.{max (succ u6) (succ (max u5 u7)), max (succ u6) (succ (max u5 u7))} (LinearMap.{u1, u3, 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u7} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) => M' -> (LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29)) (LinearMap.hasCoeToFun.{u1, u3, u6, max u5 u7} R R₂ M' (LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29) _inst_1 _inst_3 (AddCommGroup.toAddCommMonoid.{u6} M' _inst_13) (LinearMap.addCommMonoid.{u2, u4, u5, u7} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.module.{u2, u4, u3, u5, u7} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32) ρ₁₂) f (Neg.neg.{u6} M' (SubNegMonoid.toHasNeg.{u6} M' (AddGroup.toSubNegMonoid.{u6} M' (AddCommGroup.toAddGroup.{u6} M' _inst_13))) x)) y) (Neg.neg.{u7} P' (SubNegMonoid.toHasNeg.{u7} P' (AddGroup.toSubNegMonoid.{u7} P' (AddCommGroup.toAddGroup.{u7} P' _inst_15))) (coeFn.{max (succ u5) (succ u7), max (succ u5) (succ u7)} (LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29) (fun (_x : LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29) => N -> P') (LinearMap.hasCoeToFun.{u2, u4, u5, u7} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂) (coeFn.{max (succ u6) (succ (max u5 u7)), max (succ u6) (succ (max u5 u7))} (LinearMap.{u1, u3, u6, max u5 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u6} M' _inst_13) (LinearMap.addCommMonoid.{u2, u4, u5, u7} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.module.{u2, u4, u3, u5, u7} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) (fun (_x : LinearMap.{u1, u3, u6, max u5 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u6} M' _inst_13) (LinearMap.addCommMonoid.{u2, u4, u5, u7} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.module.{u2, u4, u3, u5, u7} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) => M' -> (LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29)) (LinearMap.hasCoeToFun.{u1, u3, u6, max u5 u7} R R₂ M' (LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29) _inst_1 _inst_3 (AddCommGroup.toAddCommMonoid.{u6} M' _inst_13) (LinearMap.addCommMonoid.{u2, u4, u5, u7} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.module.{u2, u4, u3, u5, u7} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32) ρ₁₂) f x) y))
 but is expected to have type
-  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {N : Type.{u3}} {M' : Type.{u5}} {P' : Type.{u4}} [_inst_6 : AddCommMonoid.{u3} N] [_inst_13 : AddCommGroup.{u5} M'] [_inst_15 : AddCommGroup.{u4} P'] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_26 : Module.{u7, u5} R M' _inst_1 (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13)] [_inst_28 : Module.{u6, u4} R₂ P' _inst_3 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15)] [_inst_29 : Module.{u1, u4} S₂ P' _inst_4 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15)] [_inst_32 : SMulCommClass.{u1, u6, u4} S₂ R₂ P' (SMulZeroClass.toSMul.{u1, u4} S₂ P' (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P' (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P' (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (Module.toMulActionWithZero.{u1, u4} S₂ P' _inst_4 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_29)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P' (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P' (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P' (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (Module.toMulActionWithZero.{u6, u4} R₂ P' _inst_3 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_28))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) (x : M') (y : N), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P') y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (Neg.neg.{u5} M' (NegZeroClass.toNeg.{u5} M' (SubNegZeroMonoid.toNegZeroClass.{u5} M' (SubtractionMonoid.toSubNegZeroMonoid.{u5} M' (SubtractionCommMonoid.toSubtractionMonoid.{u5} M' (AddCommGroup.toDivisionAddCommMonoid.{u5} M' _inst_13))))) x)) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P') _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) (FunLike.coe.{max (max (succ u3) (succ u5)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) M' (fun (_x : M') => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _inst_1 _inst_3 (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32) ρ₁₂) f (Neg.neg.{u5} M' (NegZeroClass.toNeg.{u5} M' (SubNegZeroMonoid.toNegZeroClass.{u5} M' (SubtractionMonoid.toSubNegZeroMonoid.{u5} M' (SubtractionCommMonoid.toSubtractionMonoid.{u5} M' (AddCommGroup.toDivisionAddCommMonoid.{u5} M' _inst_13))))) x)) y) (Neg.neg.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P') y) (NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P') y) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P') y) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P') y) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P') y) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P') y) _inst_15))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) x) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P') _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) (FunLike.coe.{max (max (succ u3) (succ u5)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) M' (fun (_x : M') => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _inst_1 _inst_3 (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32) ρ₁₂) f x) y))
+  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {N : Type.{u3}} {M' : Type.{u5}} {P' : Type.{u4}} [_inst_6 : AddCommMonoid.{u3} N] [_inst_13 : AddCommGroup.{u5} M'] [_inst_15 : AddCommGroup.{u4} P'] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_26 : Module.{u7, u5} R M' _inst_1 (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13)] [_inst_28 : Module.{u6, u4} R₂ P' _inst_3 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15)] [_inst_29 : Module.{u1, u4} S₂ P' _inst_4 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15)] [_inst_32 : SMulCommClass.{u1, u6, u4} S₂ R₂ P' (SMulZeroClass.toSMul.{u1, u4} S₂ P' (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P' (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P' (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (Module.toMulActionWithZero.{u1, u4} S₂ P' _inst_4 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_29)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P' (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P' (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P' (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) (Module.toMulActionWithZero.{u6, u4} R₂ P' _inst_3 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_28))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) (x : M') (y : N), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P') y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (Neg.neg.{u5} M' (NegZeroClass.toNeg.{u5} M' (SubNegZeroMonoid.toNegZeroClass.{u5} M' (SubtractionMonoid.toSubNegZeroMonoid.{u5} M' (SubtractionCommMonoid.toSubtractionMonoid.{u5} M' (AddCommGroup.toDivisionAddCommMonoid.{u5} M' _inst_13))))) x)) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P') _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) (FunLike.coe.{max (max (succ u3) (succ u5)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) M' (fun (_x : M') => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _inst_1 _inst_3 (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32) ρ₁₂) f (Neg.neg.{u5} M' (NegZeroClass.toNeg.{u5} M' (SubNegZeroMonoid.toNegZeroClass.{u5} M' (SubtractionMonoid.toSubNegZeroMonoid.{u5} M' (SubtractionCommMonoid.toSubtractionMonoid.{u5} M' (AddCommGroup.toDivisionAddCommMonoid.{u5} M' _inst_13))))) x)) y) (Neg.neg.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P') y) (NegZeroClass.toNeg.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P') y) (SubNegZeroMonoid.toNegZeroClass.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P') y) (SubtractionMonoid.toSubNegZeroMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P') y) (SubtractionCommMonoid.toSubtractionMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P') y) (AddCommGroup.toDivisionAddCommMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P') y) _inst_15))))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) x) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P') _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) (FunLike.coe.{max (max (succ u3) (succ u5)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) M' (fun (_x : M') => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _inst_1 _inst_3 (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32) ρ₁₂) f x) y))
 Case conversion may be inaccurate. Consider using '#align linear_map.map_neg₂ LinearMap.map_neg₂ₓ'. -/
 theorem map_neg₂ (f : M' →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P') (x y) : f (-x) y = -f x y :=
   (flip f y).map_neg _
@@ -240,7 +240,7 @@ theorem map_neg₂ (f : M' →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P') (x y) :
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {N : Type.{u5}} {M' : Type.{u6}} {P' : Type.{u7}} [_inst_6 : AddCommMonoid.{u5} N] [_inst_13 : AddCommGroup.{u6} M'] [_inst_15 : AddCommGroup.{u7} P'] [_inst_17 : Module.{u2, u5} S N _inst_2 _inst_6] [_inst_26 : Module.{u1, u6} R M' _inst_1 (AddCommGroup.toAddCommMonoid.{u6} M' _inst_13)] [_inst_28 : Module.{u3, u7} R₂ P' _inst_3 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)] [_inst_29 : Module.{u4, u7} S₂ P' _inst_4 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)] [_inst_32 : SMulCommClass.{u4, u3, u7} S₂ R₂ P' (SMulZeroClass.toHasSmul.{u4, u7} S₂ P' (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P' (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P' (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (Module.toMulActionWithZero.{u4, u7} S₂ P' _inst_4 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_29)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P' (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P' (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P' (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P' (AddMonoid.toAddZeroClass.{u7} P' (AddCommMonoid.toAddMonoid.{u7} P' (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15)))) (Module.toMulActionWithZero.{u3, u7} R₂ P' _inst_3 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_28))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} (f : LinearMap.{u1, u3, u6, max u5 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u4, u5, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u7} P' _inst_15) _inst_17 _inst_29) 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 but is expected to have type
-  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {N : Type.{u3}} {M' : Type.{u5}} {P' : Type.{u4}} [_inst_6 : AddCommMonoid.{u3} N] [_inst_13 : AddCommGroup.{u5} M'] [_inst_15 : AddCommGroup.{u4} P'] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_26 : Module.{u7, u5} R M' _inst_1 (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13)] [_inst_28 : Module.{u6, u4} R₂ P' _inst_3 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15)] [_inst_29 : Module.{u1, u4} S₂ P' _inst_4 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15)] [_inst_32 : SMulCommClass.{u1, u6, u4} S₂ R₂ P' (SMulZeroClass.toSMul.{u1, u4} S₂ P' (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) 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_inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) M' (fun (_x : M') => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _inst_1 _inst_3 (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32) ρ₁₂) f x) z) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) y) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P') _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) (FunLike.coe.{max (max (succ u3) (succ u5)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32)) M' (fun (_x : M') => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M') => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M' (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P' _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29) _inst_1 _inst_3 (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13) (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂) _inst_26 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P' _inst_2 _inst_4 _inst_6 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15) _inst_17 _inst_29 σ₁₂ _inst_3 _inst_28 _inst_32) ρ₁₂) f y) z))
 Case conversion may be inaccurate. Consider using '#align linear_map.map_sub₂ LinearMap.map_sub₂ₓ'. -/
 theorem map_sub₂ (f : M' →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P') (x y z) : f (x - y) z = f x z - f y z :=
   (flip f z).map_sub _ _
@@ -250,7 +250,7 @@ theorem map_sub₂ (f : M' →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P') (x y z)
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} (f : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (x₁ : M) (x₂ : M) (y : N), Eq.{succ u7} P (coeFn.{max (succ u6) (succ u7), max (succ u6) (succ u7)} (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (fun (_x : LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 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(LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19)) (LinearMap.hasCoeToFun.{u1, u3, u5, max u6 u7} R R₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f x₂) y))
 but is expected to have type
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u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f x₂) y))
 Case conversion may be inaccurate. Consider using '#align linear_map.map_add₂ LinearMap.map_add₂ₓ'. -/
 theorem map_add₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (x₁ x₂ y) : f (x₁ + x₂) y = f x₁ y + f x₂ y :=
   (flip f y).map_add _ _
@@ -260,7 +260,7 @@ theorem map_add₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (x₁ x
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {S₂ : Type.{u3}} [_inst_4 : Semiring.{u3} S₂] {M₂ : Type.{u4}} {N₂ : Type.{u5}} {P₂ : Type.{u6}} [_inst_8 : AddCommMonoid.{u4} M₂] [_inst_9 : AddCommMonoid.{u5} N₂] [_inst_10 : AddCommMonoid.{u6} P₂] [_inst_20 : Module.{u1, u4} R M₂ _inst_1 _inst_8] [_inst_21 : Module.{u2, u5} S N₂ _inst_2 _inst_9] [_inst_22 : Module.{u1, u6} R P₂ _inst_1 _inst_10] [_inst_23 : Module.{u3, u6} S₂ P₂ _inst_4 _inst_10] [_inst_33 : SMulCommClass.{u3, u1, u6} S₂ R P₂ (SMulZeroClass.toHasSmul.{u3, u6} S₂ P₂ (AddZeroClass.toHasZero.{u6} P₂ (AddMonoid.toAddZeroClass.{u6} P₂ (AddCommMonoid.toAddMonoid.{u6} P₂ _inst_10))) (SMulWithZero.toSmulZeroClass.{u3, u6} S₂ P₂ (MulZeroClass.toHasZero.{u3} S₂ (MulZeroOneClass.toMulZeroClass.{u3} S₂ (MonoidWithZero.toMulZeroOneClass.{u3} S₂ (Semiring.toMonoidWithZero.{u3} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u6} P₂ (AddMonoid.toAddZeroClass.{u6} P₂ (AddCommMonoid.toAddMonoid.{u6} P₂ _inst_10))) (MulActionWithZero.toSMulWithZero.{u3, u6} S₂ P₂ (Semiring.toMonoidWithZero.{u3} S₂ _inst_4) (AddZeroClass.toHasZero.{u6} P₂ (AddMonoid.toAddZeroClass.{u6} P₂ (AddCommMonoid.toAddMonoid.{u6} P₂ _inst_10))) (Module.toMulActionWithZero.{u3, u6} S₂ P₂ _inst_4 _inst_10 _inst_23)))) (SMulZeroClass.toHasSmul.{u1, u6} R P₂ (AddZeroClass.toHasZero.{u6} P₂ (AddMonoid.toAddZeroClass.{u6} P₂ (AddCommMonoid.toAddMonoid.{u6} P₂ _inst_10))) (SMulWithZero.toSmulZeroClass.{u1, u6} R P₂ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u6} P₂ (AddMonoid.toAddZeroClass.{u6} P₂ (AddCommMonoid.toAddMonoid.{u6} P₂ _inst_10))) (MulActionWithZero.toSMulWithZero.{u1, u6} R P₂ (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u6} P₂ (AddMonoid.toAddZeroClass.{u6} P₂ (AddCommMonoid.toAddMonoid.{u6} P₂ _inst_10))) (Module.toMulActionWithZero.{u1, u6} R P₂ _inst_1 _inst_10 _inst_22))))] {σ₁₂ : RingHom.{u2, u3} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u3} S₂ _inst_4)} (f : LinearMap.{u1, u1, u4, max u5 u6} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ (LinearMap.{u2, u3, u5, u6} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23) _inst_8 (LinearMap.addCommMonoid.{u2, u3, u5, u6} S S₂ N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂) _inst_20 (LinearMap.module.{u2, u3, u1, u5, u6} S S₂ R N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂ _inst_1 _inst_22 _inst_33)) (r : R) (x : M₂) (y : N₂), Eq.{succ u6} P₂ (coeFn.{max (succ u5) (succ u6), max (succ u5) (succ u6)} (LinearMap.{u2, u3, u5, u6} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23) (fun (_x : LinearMap.{u2, u3, u5, u6} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23) => N₂ -> P₂) 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_inst_8 (LinearMap.addCommMonoid.{u2, u3, u5, u6} S S₂ N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂) _inst_20 (LinearMap.module.{u2, u3, u1, u5, u6} S S₂ R N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂ _inst_1 _inst_22 _inst_33)) (fun (_x : LinearMap.{u1, u1, u4, max u5 u6} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M₂ (LinearMap.{u2, u3, u5, u6} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23) _inst_8 (LinearMap.addCommMonoid.{u2, u3, u5, u6} S S₂ N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂) _inst_20 (LinearMap.module.{u2, u3, u1, u5, u6} S S₂ R N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂ _inst_1 _inst_22 _inst_33)) => M₂ -> (LinearMap.{u2, u3, u5, u6} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23)) (LinearMap.hasCoeToFun.{u1, u1, u4, max u5 u6} R R M₂ (LinearMap.{u2, u3, u5, u6} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23) _inst_1 _inst_1 _inst_8 (LinearMap.addCommMonoid.{u2, u3, u5, u6} S S₂ N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂) _inst_20 (LinearMap.module.{u2, u3, u1, u5, u6} S S₂ R N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂ _inst_1 _inst_22 _inst_33) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) f x) y))
 but is expected to have type
-  forall {R : Type.{u6}} [_inst_1 : Semiring.{u6} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M₂ : Type.{u5}} {N₂ : Type.{u3}} {P₂ : Type.{u4}} [_inst_8 : AddCommMonoid.{u5} M₂] [_inst_9 : AddCommMonoid.{u3} N₂] [_inst_10 : AddCommMonoid.{u4} P₂] [_inst_20 : Module.{u6, u5} R M₂ _inst_1 _inst_8] [_inst_21 : Module.{u2, u3} S N₂ _inst_2 _inst_9] [_inst_22 : Module.{u6, u4} R P₂ _inst_1 _inst_10] [_inst_23 : Module.{u1, u4} S₂ P₂ _inst_4 _inst_10] [_inst_33 : SMulCommClass.{u1, u6, u4} S₂ R P₂ (SMulZeroClass.toSMul.{u1, u4} S₂ P₂ (AddMonoid.toZero.{u4} P₂ (AddCommMonoid.toAddMonoid.{u4} P₂ _inst_10)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P₂ (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P₂ (AddCommMonoid.toAddMonoid.{u4} P₂ _inst_10)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P₂ (AddCommMonoid.toAddMonoid.{u4} 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=> P₂) y) (MonoidWithZero.toZero.{u6} R (Semiring.toMonoidWithZero.{u6} R _inst_1)) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N₂) => P₂) y) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N₂) => P₂) y) _inst_10)) (MulActionWithZero.toSMulWithZero.{u6, u4} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N₂) => P₂) y) (Semiring.toMonoidWithZero.{u6} R _inst_1) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N₂) => P₂) y) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N₂) => P₂) y) _inst_10)) (Module.toMulActionWithZero.{u6, u4} R ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N₂) => P₂) y) _inst_1 _inst_10 _inst_22))))) r (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₂) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23) x) N₂ (fun (_x : N₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N₂) => P₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u6, u6, u5, max u4 u3} R R _inst_1 _inst_1 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R _inst_1)) M₂ (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23) _inst_8 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂) _inst_20 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂ _inst_1 _inst_22 _inst_33)) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₂) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23) _x) (LinearMap.instFunLikeLinearMap.{u6, u6, u5, max u3 u4} R R M₂ (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N₂ P₂ _inst_9 _inst_10 _inst_21 _inst_23) _inst_1 _inst_1 _inst_8 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂) _inst_20 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R N₂ P₂ _inst_2 _inst_4 _inst_9 _inst_10 _inst_21 _inst_23 σ₁₂ _inst_1 _inst_22 _inst_33) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R _inst_1))) f x) y))
 Case conversion may be inaccurate. Consider using '#align linear_map.map_smul₂ LinearMap.map_smul₂ₓ'. -/
 theorem map_smul₂ (f : M₂ →ₗ[R] N₂ →ₛₗ[σ₁₂] P₂) (r : R) (x y) : f (r • x) y = r • f x y :=
   (flip f y).map_smul _ _
@@ -270,7 +270,7 @@ theorem map_smul₂ (f : M₂ →ₗ[R] N₂ →ₛₗ[σ₁₂] P₂) (r : R) (
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} (f : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (r : R) (x : M) (y : N), Eq.{succ u7} P (coeFn.{max (succ u6) (succ u7), max (succ u6) (succ u7)} (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (fun (_x : LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) => N -> P) (LinearMap.hasCoeToFun.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (coeFn.{max (succ u5) (succ (max u6 u7)), max (succ u5) (succ (max u6 u7))} (LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (fun (_x : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) => M -> (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19)) (LinearMap.hasCoeToFun.{u1, u3, u5, max u6 u7} R R₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f (SMul.smul.{u1, u5} R M (SMulZeroClass.toHasSmul.{u1, u5} R M (AddZeroClass.toHasZero.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))) (SMulWithZero.toSmulZeroClass.{u1, u5} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))) (MulActionWithZero.toSMulWithZero.{u1, u5} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))) (Module.toMulActionWithZero.{u1, u5} R M _inst_1 _inst_5 _inst_16)))) r x)) y) (SMul.smul.{u3, u7} R₂ P (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18)))) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) (fun (_x : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) => R -> R₂) (RingHom.hasCoeToFun.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) ρ₁₂ r) (coeFn.{max (succ u6) (succ u7), max (succ u6) (succ u7)} (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (fun (_x : LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) => N -> P) (LinearMap.hasCoeToFun.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (coeFn.{max (succ u5) (succ (max u6 u7)), max (succ u5) (succ (max u6 u7))} (LinearMap.{u1, u3, u5, max u6 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_inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f x) y))
 but is expected to have type
-  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P 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(Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)) R R₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u7} R (Semiring.toNonAssocSemiring.{u7} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u6} R₂ (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u7 u6, u7, u6} (RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)) R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3) (RingHom.instRingHomClassRingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3))))) ρ₁₂ r) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) x) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f x) y))
 Case conversion may be inaccurate. Consider using '#align linear_map.map_smulₛₗ₂ LinearMap.map_smulₛₗ₂ₓ'. -/
 theorem map_smulₛₗ₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (r : R) (x y) : f (r • x) y = ρ₁₂ r • f x y :=
   (flip f y).map_smulₛₗ _ _
@@ -280,7 +280,7 @@ theorem map_smulₛₗ₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (r
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} {ι : Type.{u8}} (f : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (t : Finset.{u8} ι) (x : ι -> M) (y : N), Eq.{succ u7} P (coeFn.{max (succ u6) (succ u7), max (succ u6) (succ u7)} (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (fun (_x : LinearMap.{u2, u4, u6, u7} S S₂ 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_inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) => M -> (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19)) (LinearMap.hasCoeToFun.{u1, u3, u5, max u6 u7} R R₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f (Finset.sum.{u5, u8} M ι _inst_5 t (fun (i : ι) => x i))) y) (Finset.sum.{u7, u8} P ι _inst_7 t (fun (i : ι) => coeFn.{max (succ u6) (succ u7), max (succ u6) (succ u7)} (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (fun (_x : LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) => N -> P) (LinearMap.hasCoeToFun.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (coeFn.{max (succ u5) (succ (max u6 u7)), max (succ u5) (succ (max u6 u7))} (LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (fun (_x : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) => M -> (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19)) (LinearMap.hasCoeToFun.{u1, u3, u5, max u6 u7} R R₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f (x i)) y))
 but is expected to have type
-  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P 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_inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (t : Finset.{u8} ι) (x : ι -> M) (y : N), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P) y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (Finset.sum.{u5, u8} M ι _inst_5 t (fun (i : ι) => x i))) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, 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R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f (Finset.sum.{u5, u8} M ι _inst_5 t (fun (i : ι) => x i))) y) (Finset.sum.{u4, u8} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P) y) ι _inst_7 t (fun (i : ι) => FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (x i)) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f (x i)) y))
+  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} {ι : Type.{u8}} (f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (t : Finset.{u8} ι) (x : ι -> M) (y : N), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (Finset.sum.{u5, u8} M ι _inst_5 t (fun (i : ι) => x i))) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, 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R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f (Finset.sum.{u5, u8} M ι _inst_5 t (fun (i : ι) => x i))) y) (Finset.sum.{u4, u8} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) y) ι _inst_7 t (fun (i : ι) => FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (x i)) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f (x i)) y))
 Case conversion may be inaccurate. Consider using '#align linear_map.map_sum₂ LinearMap.map_sum₂ₓ'. -/
 theorem map_sum₂ {ι : Type _} (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (t : Finset ι) (x : ι → M) (y) :
     f (∑ i in t, x i) y = ∑ i in t, f (x i) y :=
@@ -302,7 +302,7 @@ def domRestrict₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (q : Subm
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} (f : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (q : Submodule.{u2, u6} S N _inst_2 _inst_6 _inst_17) (x : M) (y : coeSort.{succ u6, succ (succ u6)} (Submodule.{u2, u6} S N _inst_2 _inst_6 _inst_17) Type.{u6} (SetLike.hasCoeToSort.{u6, u6} (Submodule.{u2, u6} S N _inst_2 _inst_6 _inst_17) N (Submodule.setLike.{u2, u6} 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 but is expected to have type
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(Submodule.instModuleSubtypeMemSubmoduleInstMembershipInstSetLikeSubmoduleInstAddCommMonoidSubtypeMemSubmoduleInstMembershipInstSetLikeSubmodule.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ (Subtype.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.instSetLikeSubmodule.{u2, u3} S N _inst_2 _inst_6 _inst_17)) x q)) P _inst_2 _inst_4 (Submodule.instAddCommMonoidSubtypeMemSubmoduleInstMembershipInstSetLikeSubmodule.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_7 (Submodule.instModuleSubtypeMemSubmoduleInstMembershipInstSetLikeSubmoduleInstAddCommMonoidSubtypeMemSubmoduleInstMembershipInstSetLikeSubmodule.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ (Subtype.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.instSetLikeSubmodule.{u2, u3} S N _inst_2 _inst_6 _inst_17)) x q)) P _inst_2 _inst_4 (Submodule.instAddCommMonoidSubtypeMemSubmoduleInstMembershipInstSetLikeSubmodule.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_7 (Submodule.instModuleSubtypeMemSubmoduleInstMembershipInstSetLikeSubmoduleInstAddCommMonoidSubtypeMemSubmoduleInstMembershipInstSetLikeSubmodule.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) (LinearMap.domRestrict₂.{u7, u2, u6, u1, u5, u3, u4} R _inst_1 S _inst_2 R₂ _inst_3 S₂ _inst_4 M N P _inst_5 _inst_6 _inst_7 _inst_16 _inst_17 _inst_18 _inst_19 _inst_30 ρ₁₂ σ₁₂ f q) x) y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) x) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f x) (Subtype.val.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Set.{u3} N) (Set.instMembershipSet.{u3} N) x (SetLike.coe.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.instSetLikeSubmodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) q)) y))
 Case conversion may be inaccurate. Consider using '#align linear_map.dom_restrict₂_apply LinearMap.domRestrict₂_applyₓ'. -/
 theorem domRestrict₂_apply (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (q : Submodule S N) (x : M) (y : q) :
     f.domRestrict₂ q x y = f x y :=
@@ -321,7 +321,7 @@ def domRestrict₁₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (p : S
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} (f : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (p : Submodule.{u1, u5} R M _inst_1 _inst_5 _inst_16) (q : Submodule.{u2, u6} S N _inst_2 _inst_6 _inst_17) (x : coeSort.{succ u5, succ (succ u5)} (Submodule.{u1, u5} R M _inst_1 _inst_5 _inst_16) Type.{u5} (SetLike.hasCoeToSort.{u5, u5} (Submodule.{u1, u5} R M _inst_1 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 but is expected to have type
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(Submodule.instAddCommMonoidSubtypeMemSubmoduleInstMembershipInstSetLikeSubmodule.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_7 (Submodule.instModuleSubtypeMemSubmoduleInstMembershipInstSetLikeSubmoduleInstAddCommMonoidSubtypeMemSubmoduleInstMembershipInstSetLikeSubmodule.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_19 σ₁₂) (Submodule.instModuleSubtypeMemSubmoduleInstMembershipInstSetLikeSubmoduleInstAddCommMonoidSubtypeMemSubmoduleInstMembershipInstSetLikeSubmodule.{u7, u5} R M _inst_1 _inst_5 _inst_16 p) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ (Subtype.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.instSetLikeSubmodule.{u2, u3} S N _inst_2 _inst_6 _inst_17)) x q)) P _inst_2 _inst_4 (Submodule.instAddCommMonoidSubtypeMemSubmoduleInstMembershipInstSetLikeSubmodule.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_7 (Submodule.instModuleSubtypeMemSubmoduleInstMembershipInstSetLikeSubmoduleInstAddCommMonoidSubtypeMemSubmoduleInstMembershipInstSetLikeSubmodule.{u2, u3} S N _inst_2 _inst_6 _inst_17 q) _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) (LinearMap.domRestrict₁₂.{u7, u2, u6, u1, u5, u3, u4} R _inst_1 S _inst_2 R₂ _inst_3 S₂ _inst_4 M N P _inst_5 _inst_6 _inst_7 _inst_16 _inst_17 _inst_18 _inst_19 _inst_30 ρ₁₂ σ₁₂ f p q) x) y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (Subtype.val.{succ u5} M (fun (x : M) => Membership.mem.{u5, u5} M (Set.{u5} M) (Set.instMembershipSet.{u5} M) x (SetLike.coe.{u5, u5} (Submodule.{u7, u5} R M _inst_1 _inst_5 _inst_16) M (Submodule.instSetLikeSubmodule.{u7, u5} R M _inst_1 _inst_5 _inst_16) p)) x)) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f (Subtype.val.{succ u5} M (fun (x : M) => Membership.mem.{u5, u5} M (Set.{u5} M) (Set.instMembershipSet.{u5} M) x (SetLike.coe.{u5, u5} (Submodule.{u7, u5} R M _inst_1 _inst_5 _inst_16) M (Submodule.instSetLikeSubmodule.{u7, u5} R M _inst_1 _inst_5 _inst_16) p)) x)) (Subtype.val.{succ u3} N (fun (x : N) => Membership.mem.{u3, u3} N (Set.{u3} N) (Set.instMembershipSet.{u3} N) x (SetLike.coe.{u3, u3} (Submodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) N (Submodule.instSetLikeSubmodule.{u2, u3} S N _inst_2 _inst_6 _inst_17) q)) y))
 Case conversion may be inaccurate. Consider using '#align linear_map.dom_restrict₁₂_apply LinearMap.domRestrict₁₂_applyₓ'. -/
 theorem domRestrict₁₂_apply (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (p : Submodule R M) (q : Submodule S N)
     (x : p) (y : q) : f.domRestrict₁₂ p q x y = f x y :=
@@ -378,7 +378,7 @@ def mk₂ (f : M → Nₗ → Pₗ) (H1 : ∀ m₁ m₂ n, f (m₁ + m₂) n = f
 lean 3 declaration is
   forall (R : Type.{u1}) [_inst_1 : CommSemiring.{u1} R] {M : Type.{u2}} {Nₗ : Type.{u3}} {Pₗ : Type.{u4}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_19 : Module.{u1, u3} R Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10] [_inst_20 : Module.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11] (f : M -> Nₗ -> Pₗ) {H1 : forall (m₁ : M) (m₂ : M) (n : Nₗ), Eq.{succ u4} Pₗ (f (HAdd.hAdd.{u2, u2, u2} M M M (instHAdd.{u2} M (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u4, u4, u4} Pₗ Pₗ Pₗ (instHAdd.{u4} Pₗ (AddZeroClass.toHasAdd.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)))) (f m₁ n) (f m₂ n))} {H2 : forall (c : R) (m : M) (n : Nₗ), Eq.{succ u4} Pₗ (f (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_5))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5))) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_14)))) c m) n) (SMul.smul.{u1, u4} R Pₗ (SMulZeroClass.toHasSmul.{u1, u4} R Pₗ (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (SMulWithZero.toSmulZeroClass.{u1, u4} R Pₗ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u4} R Pₗ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (Module.toMulActionWithZero.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11 _inst_20)))) c (f m n))} {H3 : forall (m : M) (n₁ : Nₗ) (n₂ : Nₗ), Eq.{succ u4} Pₗ (f m (HAdd.hAdd.{u3, u3, u3} Nₗ Nₗ Nₗ (instHAdd.{u3} Nₗ (AddZeroClass.toHasAdd.{u3} Nₗ (AddMonoid.toAddZeroClass.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10)))) n₁ n₂)) (HAdd.hAdd.{u4, u4, u4} Pₗ Pₗ Pₗ (instHAdd.{u4} Pₗ (AddZeroClass.toHasAdd.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)))) (f m n₁) (f m n₂))} {H4 : forall (c : R) (m : M) (n : Nₗ), Eq.{succ u4} Pₗ (f m (SMul.smul.{u1, u3} R Nₗ (SMulZeroClass.toHasSmul.{u1, u3} R Nₗ (AddZeroClass.toHasZero.{u3} Nₗ (AddMonoid.toAddZeroClass.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10))) (SMulWithZero.toSmulZeroClass.{u1, u3} R Nₗ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} Nₗ (AddMonoid.toAddZeroClass.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10))) (MulActionWithZero.toSMulWithZero.{u1, u3} R Nₗ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} Nₗ (AddMonoid.toAddZeroClass.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10))) (Module.toMulActionWithZero.{u1, u3} R Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_19)))) c n)) (SMul.smul.{u1, u4} R Pₗ (SMulZeroClass.toHasSmul.{u1, u4} R Pₗ (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (SMulWithZero.toSmulZeroClass.{u1, u4} R Pₗ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u4} R Pₗ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (Module.toMulActionWithZero.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11 _inst_20)))) c (f m n))} (m : M) (n : Nₗ), Eq.{succ u4} Pₗ (coeFn.{max (succ 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_inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.mk₂._proof_1.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20))) => M -> (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20)) (LinearMap.hasCoeToFun.{u1, u1, u2, max u3 u4} R R M (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 (LinearMap.addCommMonoid.{u1, u1, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) 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 but is expected to have type
-  forall (R : Type.{u2}) [_inst_1 : CommSemiring.{u2} R] {M : Type.{u3}} {Nₗ : Type.{u1}} {Pₗ : Type.{u4}} [_inst_5 : AddCommMonoid.{u3} M] [_inst_10 : AddCommMonoid.{u1} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_14 : Module.{u2, u3} R M (CommSemiring.toSemiring.{u2} R _inst_1) _inst_5] [_inst_19 : Module.{u2, u1} R Nₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10] [_inst_20 : Module.{u2, u4} R Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_11] (f : M -> Nₗ -> Pₗ) {H1 : forall (m₁ : M) (m₂ : M) (n : Nₗ), Eq.{succ u4} Pₗ (f (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u4, u4, u4} Pₗ Pₗ Pₗ (instHAdd.{u4} Pₗ (AddZeroClass.toAdd.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)))) (f m₁ n) (f m₂ n))} {H2 : forall (c : R) (m : M) (n : Nₗ), Eq.{succ u4} Pₗ (f (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_5)) (SMulWithZero.toSMulZeroClass.{u2, u3} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_5)) (MulActionWithZero.toSMulWithZero.{u2, u3} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_5)) (Module.toMulActionWithZero.{u2, u3} R M (CommSemiring.toSemiring.{u2} R _inst_1) _inst_5 _inst_14))))) c m) n) (HSMul.hSMul.{u2, u4, u4} R Pₗ Pₗ (instHSMul.{u2, u4} R Pₗ (SMulZeroClass.toSMul.{u2, u4} R Pₗ (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (SMulWithZero.toSMulZeroClass.{u2, u4} R Pₗ (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (MulActionWithZero.toSMulWithZero.{u2, u4} R Pₗ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u2, u4} R Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_11 _inst_20))))) c (f m n))} {H3 : forall (m : M) (n₁ : Nₗ) (n₂ : Nₗ), Eq.{succ u4} Pₗ (f m (HAdd.hAdd.{u1, u1, u1} Nₗ Nₗ Nₗ (instHAdd.{u1} Nₗ (AddZeroClass.toAdd.{u1} Nₗ (AddMonoid.toAddZeroClass.{u1} Nₗ (AddCommMonoid.toAddMonoid.{u1} Nₗ _inst_10)))) n₁ n₂)) (HAdd.hAdd.{u4, u4, u4} Pₗ Pₗ Pₗ (instHAdd.{u4} Pₗ (AddZeroClass.toAdd.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)))) (f m n₁) (f m n₂))} {H4 : forall (c : R) (m : M) (n : Nₗ), Eq.{succ u4} Pₗ (f m (HSMul.hSMul.{u2, u1, u1} R Nₗ Nₗ (instHSMul.{u2, u1} R Nₗ (SMulZeroClass.toSMul.{u2, u1} R Nₗ (AddMonoid.toZero.{u1} Nₗ (AddCommMonoid.toAddMonoid.{u1} Nₗ _inst_10)) (SMulWithZero.toSMulZeroClass.{u2, u1} R Nₗ (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u1} Nₗ (AddCommMonoid.toAddMonoid.{u1} Nₗ _inst_10)) (MulActionWithZero.toSMulWithZero.{u2, u1} R Nₗ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u1} Nₗ (AddCommMonoid.toAddMonoid.{u1} Nₗ _inst_10)) (Module.toMulActionWithZero.{u2, u1} R Nₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_19))))) c n)) (HSMul.hSMul.{u2, u4, u4} R Pₗ Pₗ (instHSMul.{u2, u4} R Pₗ (SMulZeroClass.toSMul.{u2, u4} R Pₗ (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (SMulWithZero.toSMulZeroClass.{u2, u4} R Pₗ (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (MulActionWithZero.toSMulWithZero.{u2, u4} R Pₗ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u2, u4} R Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_11 _inst_20))))) c (f m n))} (m : M) (n : Nₗ), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : Nₗ) => Pₗ) n) (FunLike.coe.{max (succ u1) (succ u4), succ u1, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => LinearMap.{u2, u2, u1, u4} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) m) Nₗ (fun (_x : Nₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : Nₗ) => Pₗ) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u4), succ u3, max (succ u1) (succ u4)} (LinearMap.{u2, u2, u3, max u4 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) M (LinearMap.{u2, u2, u1, u4} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_5 (LinearMap.addCommMonoid.{u2, u2, u1, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_20 (smulCommClass_self.{u2, u4} R Pₗ (CommSemiring.toCommMonoid.{u2} R _inst_1) (MulActionWithZero.toMulAction.{u2, u4} R Pₗ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u2, u4} R Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_11 _inst_20))))) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => LinearMap.{u2, u2, u1, u4} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u3, max u1 u4} R R M (LinearMap.{u2, u2, u1, u4} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_5 (LinearMap.addCommMonoid.{u2, u2, u1, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_20 (smulCommClass_self.{u2, u4} R Pₗ (CommSemiring.toCommMonoid.{u2} R _inst_1) (MulActionWithZero.toMulAction.{u2, u4} R Pₗ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u2, u4} R Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (LinearMap.mk₂.{u2, u3, u1, u4} R _inst_1 M Nₗ Pₗ _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20 f H1 H2 H3 H4) m) n) (f m n)
+  forall (R : Type.{u2}) [_inst_1 : CommSemiring.{u2} R] {M : Type.{u3}} {Nₗ : Type.{u1}} {Pₗ : Type.{u4}} [_inst_5 : AddCommMonoid.{u3} M] [_inst_10 : AddCommMonoid.{u1} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_14 : Module.{u2, u3} R M (CommSemiring.toSemiring.{u2} R _inst_1) _inst_5] [_inst_19 : Module.{u2, u1} R Nₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10] [_inst_20 : Module.{u2, u4} R Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_11] (f : M -> Nₗ -> Pₗ) {H1 : forall (m₁ : M) (m₂ : M) (n : Nₗ), Eq.{succ u4} Pₗ (f (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u4, u4, u4} Pₗ Pₗ Pₗ (instHAdd.{u4} Pₗ (AddZeroClass.toAdd.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)))) (f m₁ n) (f m₂ n))} {H2 : forall (c : R) (m : M) (n : Nₗ), Eq.{succ u4} Pₗ (f (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_5)) (SMulWithZero.toSMulZeroClass.{u2, u3} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_5)) (MulActionWithZero.toSMulWithZero.{u2, u3} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_5)) (Module.toMulActionWithZero.{u2, u3} R M (CommSemiring.toSemiring.{u2} R _inst_1) _inst_5 _inst_14))))) c m) n) (HSMul.hSMul.{u2, u4, u4} R Pₗ Pₗ (instHSMul.{u2, u4} R Pₗ (SMulZeroClass.toSMul.{u2, u4} R Pₗ (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (SMulWithZero.toSMulZeroClass.{u2, u4} R Pₗ (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (MulActionWithZero.toSMulWithZero.{u2, u4} R Pₗ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u2, u4} R Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_11 _inst_20))))) c (f m n))} {H3 : forall (m : M) (n₁ : Nₗ) (n₂ : Nₗ), Eq.{succ u4} Pₗ (f m (HAdd.hAdd.{u1, u1, u1} Nₗ Nₗ Nₗ (instHAdd.{u1} Nₗ (AddZeroClass.toAdd.{u1} Nₗ (AddMonoid.toAddZeroClass.{u1} Nₗ (AddCommMonoid.toAddMonoid.{u1} Nₗ _inst_10)))) n₁ n₂)) (HAdd.hAdd.{u4, u4, u4} Pₗ Pₗ Pₗ (instHAdd.{u4} Pₗ (AddZeroClass.toAdd.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)))) (f m n₁) (f m n₂))} {H4 : forall (c : R) (m : M) (n : Nₗ), Eq.{succ u4} Pₗ (f m (HSMul.hSMul.{u2, u1, u1} R Nₗ Nₗ (instHSMul.{u2, u1} R Nₗ (SMulZeroClass.toSMul.{u2, u1} R Nₗ (AddMonoid.toZero.{u1} Nₗ (AddCommMonoid.toAddMonoid.{u1} Nₗ _inst_10)) (SMulWithZero.toSMulZeroClass.{u2, u1} R Nₗ (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u1} Nₗ (AddCommMonoid.toAddMonoid.{u1} Nₗ _inst_10)) (MulActionWithZero.toSMulWithZero.{u2, u1} R Nₗ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u1} Nₗ (AddCommMonoid.toAddMonoid.{u1} Nₗ _inst_10)) (Module.toMulActionWithZero.{u2, u1} R Nₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_19))))) c n)) (HSMul.hSMul.{u2, u4, u4} R Pₗ Pₗ (instHSMul.{u2, u4} R Pₗ (SMulZeroClass.toSMul.{u2, u4} R Pₗ (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (SMulWithZero.toSMulZeroClass.{u2, u4} R Pₗ (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (MulActionWithZero.toSMulWithZero.{u2, u4} R Pₗ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u2, u4} R Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_11 _inst_20))))) c (f m n))} (m : M) (n : Nₗ), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : Nₗ) => Pₗ) n) (FunLike.coe.{max (succ u1) (succ u4), succ u1, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u2, u1, u4} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) m) Nₗ (fun (_x : Nₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : Nₗ) => Pₗ) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (FunLike.coe.{max (max (succ u3) (succ u1)) (succ u4), succ u3, max (succ u1) (succ u4)} (LinearMap.{u2, u2, u3, max u4 u1} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) M (LinearMap.{u2, u2, u1, u4} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_5 (LinearMap.addCommMonoid.{u2, u2, u1, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_20 (smulCommClass_self.{u2, u4} R Pₗ (CommSemiring.toCommMonoid.{u2} R _inst_1) (MulActionWithZero.toMulAction.{u2, u4} R Pₗ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u2, u4} R Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_11 _inst_20))))) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u2, u2, u1, u4} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u3, max u1 u4} R R M (LinearMap.{u2, u2, u1, u4} R R (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_5 (LinearMap.addCommMonoid.{u2, u2, u1, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1))) (CommSemiring.toSemiring.{u2} R _inst_1) _inst_20 (smulCommClass_self.{u2, u4} R Pₗ (CommSemiring.toCommMonoid.{u2} R _inst_1) (MulActionWithZero.toMulAction.{u2, u4} R Pₗ (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u2, u4} R Pₗ (CommSemiring.toSemiring.{u2} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_1)))) (LinearMap.mk₂.{u2, u3, u1, u4} R _inst_1 M Nₗ Pₗ _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20 f H1 H2 H3 H4) m) n) (f m n)
 Case conversion may be inaccurate. Consider using '#align linear_map.mk₂_apply LinearMap.mk₂_applyₓ'. -/
 @[simp]
 theorem mk₂_apply (f : M → Nₗ → Pₗ) {H1 H2 H3 H4} (m : M) (n : Nₗ) :
@@ -407,7 +407,7 @@ variable (f : M →ₛₗ[σ₁₃] N →ₛₗ[σ₂₃] P)
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {R₂ : Type.{u2}} [_inst_2 : CommSemiring.{u2} R₂] {R₃ : Type.{u3}} [_inst_3 : CommSemiring.{u3} R₃] {M : Type.{u4}} {N : Type.{u5}} {P : Type.{u6}} [_inst_5 : AddCommMonoid.{u4} M] [_inst_6 : AddCommMonoid.{u5} N] [_inst_7 : AddCommMonoid.{u6} P] [_inst_14 : Module.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_15 : Module.{u2, u5} R₂ N (CommSemiring.toSemiring.{u2} R₂ _inst_2) _inst_6] [_inst_16 : Module.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7] {σ₂₃ : RingHom.{u2, u3} R₂ R₃ (Semiring.toNonAssocSemiring.{u2} R₂ (CommSemiring.toSemiring.{u2} R₂ _inst_2)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} {σ₁₃ : RingHom.{u1, u3} R R₃ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} (f : LinearMap.{u1, u3, u4, max u5 u6} R R₃ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M (LinearMap.{u2, u3, u5, u6} R₂ R₃ (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) _inst_5 (LinearMap.addCommMonoid.{u2, u3, u5, u6} R₂ R₃ N P (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) _inst_14 (LinearMap.module.{u2, u3, u3, u5, u6} R₂ R₃ R₃ N P (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_16 (smulCommClass_self.{u3, u6} R₃ P (CommSemiring.toCommMonoid.{u3} R₃ _inst_3) (MulActionWithZero.toMulAction.{u3, u6} R₃ P (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3)) (AddZeroClass.toHasZero.{u6} P (AddMonoid.toAddZeroClass.{u6} P (AddCommMonoid.toAddMonoid.{u6} P _inst_7))) (Module.toMulActionWithZero.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7 _inst_16))))) (m : M) (n : N), Eq.{succ u6} P (coeFn.{max (succ u4) (succ u6), max (succ u4) (succ u6)} (LinearMap.{u1, u3, u4, u6} R R₃ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M P _inst_5 _inst_7 _inst_14 _inst_16) (fun (_x : LinearMap.{u1, u3, u4, u6} R R₃ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M P _inst_5 _inst_7 _inst_14 _inst_16) => M -> P) (LinearMap.hasCoeToFun.{u1, u3, u4, u6} R R₃ M P (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_5 _inst_7 _inst_14 _inst_16 σ₁₃) (coeFn.{max (succ u5) (succ (max u4 u6)), max (succ u5) (succ (max u4 u6))} (LinearMap.{u2, u3, u5, max u4 u6} R₂ R₃ (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N (LinearMap.{u1, u3, u4, u6} R R₃ (CommSemiring.toSemiring.{u1} R _inst_1) 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 but is expected to have type
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(CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_5 (LinearMap.addCommMonoid.{u1, u3, u2, u6} R₂ R₃ N P (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u3, u3, u2, u6} R₂ R₃ R₃ N P (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_16 (smulCommClass_self.{u3, u6} R₃ P (CommSemiring.toCommMonoid.{u3} R₃ _inst_3) (MulActionWithZero.toMulAction.{u3, u6} R₃ P (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3)) (AddMonoid.toZero.{u6} P (AddCommMonoid.toAddMonoid.{u6} P _inst_7)) (Module.toMulActionWithZero.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ 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(CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_5 (LinearMap.addCommMonoid.{u1, u3, u2, u6} R₂ R₃ N P (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u3, u3, u2, u6} R₂ R₃ R₃ N P (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_16 (smulCommClass_self.{u3, u6} R₃ P (CommSemiring.toCommMonoid.{u3} R₃ _inst_3) (MulActionWithZero.toMulAction.{u3, u6} R₃ P (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3)) (AddMonoid.toZero.{u6} P (AddCommMonoid.toAddMonoid.{u6} P _inst_7)) (Module.toMulActionWithZero.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ 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 Case conversion may be inaccurate. Consider using '#align linear_map.lflip_apply LinearMap.lflip_applyₓ'. -/
 @[simp]
 theorem lflip_apply (m : M) (n : N) : lflip R M N P f n m = f m n :=
@@ -429,7 +429,7 @@ variable {R Pₗ}
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {M : Type.{u2}} {Nₗ : Type.{u3}} {Pₗ : Type.{u4}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_19 : Module.{u1, u3} R Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10] [_inst_20 : Module.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11] (f : LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (g : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (x : M), Eq.{succ u4} 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 but is expected to have type
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R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u1} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u1} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u1} Pₗ (AddCommMonoid.toAddMonoid.{u1} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u1} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.lcomp.{u4, u3, u2, u1} R _inst_1 M Nₗ Pₗ _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20 f) g) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u4, u2, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) Nₗ (fun (_x : Nₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : Nₗ) => Pₗ) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u2, u1} R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) g (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => Nₗ) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} 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+  forall {R : Type.{u4}} [_inst_1 : CommSemiring.{u4} R] {M : Type.{u3}} {Nₗ : Type.{u2}} {Pₗ : Type.{u1}} [_inst_5 : AddCommMonoid.{u3} M] [_inst_10 : AddCommMonoid.{u2} Nₗ] [_inst_11 : AddCommMonoid.{u1} Pₗ] [_inst_14 : Module.{u4, u3} R M (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5] [_inst_19 : Module.{u4, u2} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10] [_inst_20 : Module.{u4, u1} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11] (f : LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (g : LinearMap.{u4, u4, u2, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (x : M), Eq.{succ u1} 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 Case conversion may be inaccurate. Consider using '#align linear_map.lcomp_apply LinearMap.lcomp_applyₓ'. -/
 @[simp]
 theorem lcomp_apply (f : M →ₗ[R] Nₗ) (g : Nₗ →ₗ[R] Pₗ) (x : M) : lcomp R Pₗ f g x = g (f x) :=
@@ -440,7 +440,7 @@ theorem lcomp_apply (f : M →ₗ[R] Nₗ) (g : Nₗ →ₗ[R] Pₗ) (x : M) : l
 lean 3 declaration is
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(CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (LinearMap.addCommMonoid.{u1, u1, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.lcomp._proof_1.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.lcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20))) => (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) -> (LinearMap.{u1, u1, u2, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R 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_inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.lcomp._proof_1.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.lcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.lcomp.{u1, u2, u3, u4} R _inst_1 M Nₗ Pₗ _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20 f) g) (LinearMap.comp.{u1, u1, u1, u2, u3, u4} R R R M Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomCompTriple.ids.{u1, u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) g f)
 but is expected to have type
-  forall {R : Type.{u4}} [_inst_1 : CommSemiring.{u4} R] {M : Type.{u3}} {Nₗ : Type.{u2}} {Pₗ : Type.{u1}} [_inst_5 : AddCommMonoid.{u3} M] [_inst_10 : AddCommMonoid.{u2} Nₗ] [_inst_11 : AddCommMonoid.{u1} Pₗ] [_inst_14 : Module.{u4, u3} R M (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5] [_inst_19 : Module.{u4, u2} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10] [_inst_20 : Module.{u4, u1} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11] (f : LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (g : LinearMap.{u4, u4, u2, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20), Eq.{max (succ u3) 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(CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (LinearMap.{u4, u4, u3, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (LinearMap.addCommMonoid.{u4, u4, u2, u1} R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.addCommMonoid.{u4, u4, u3, u1} R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) 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(x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : LinearMap.{u4, u4, u2, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) => LinearMap.{u4, u4, u3, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, max u2 u1, max u3 u1} R R (LinearMap.{u4, u4, u2, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (LinearMap.{u4, u4, u3, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (LinearMap.addCommMonoid.{u4, u4, u2, u1} R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.addCommMonoid.{u4, u4, u3, u1} R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u2, u1} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u1} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u1} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u1} Pₗ (AddCommMonoid.toAddMonoid.{u1} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u1} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u3, u1} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u1} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u1} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u1} Pₗ (AddCommMonoid.toAddMonoid.{u1} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u1} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.lcomp.{u4, u3, u2, u1} R _inst_1 M Nₗ Pₗ _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20 f) g) (LinearMap.comp.{u4, u4, u4, u3, u2, u1} R R R M Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHomCompTriple.ids.{u4, u4} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) g f)
+  forall {R : Type.{u4}} [_inst_1 : CommSemiring.{u4} R] {M : Type.{u3}} {Nₗ : Type.{u2}} {Pₗ : Type.{u1}} [_inst_5 : AddCommMonoid.{u3} M] [_inst_10 : AddCommMonoid.{u2} Nₗ] [_inst_11 : AddCommMonoid.{u1} Pₗ] [_inst_14 : Module.{u4, u3} R M (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5] [_inst_19 : Module.{u4, u2} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10] [_inst_20 : Module.{u4, u1} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11] (f : LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (g : LinearMap.{u4, u4, u2, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20), Eq.{max (succ u3) 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_inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u1} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u1} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u1} Pₗ (AddCommMonoid.toAddMonoid.{u1} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u1} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))))) (LinearMap.{u4, u4, u2, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (fun (_x : LinearMap.{u4, u4, u2, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : LinearMap.{u4, u4, u2, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) => LinearMap.{u4, u4, u3, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, max u2 u1, max u3 u1} R R (LinearMap.{u4, u4, u2, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (LinearMap.{u4, u4, u3, u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) 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(CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u1} Pₗ (AddCommMonoid.toAddMonoid.{u1} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u1} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.lcomp.{u4, u3, u2, u1} R _inst_1 M Nₗ Pₗ _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20 f) g) (LinearMap.comp.{u4, u4, u4, u3, u2, u1} R R R M Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHomCompTriple.ids.{u4, u4} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) g f)
 Case conversion may be inaccurate. Consider using '#align linear_map.lcomp_apply' LinearMap.lcomp_apply'ₓ'. -/
 theorem lcomp_apply' (f : M →ₗ[R] Nₗ) (g : Nₗ →ₗ[R] Pₗ) : lcomp R Pₗ f g = g ∘ₗ f :=
   rfl
@@ -464,7 +464,7 @@ include σ₁₃
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {R₂ : Type.{u2}} [_inst_2 : CommSemiring.{u2} R₂] {R₃ : Type.{u3}} [_inst_3 : CommSemiring.{u3} R₃] {M : Type.{u4}} {N : Type.{u5}} {P : Type.{u6}} [_inst_5 : AddCommMonoid.{u4} M] [_inst_6 : AddCommMonoid.{u5} N] [_inst_7 : AddCommMonoid.{u6} P] [_inst_14 : Module.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_15 : Module.{u2, u5} R₂ N (CommSemiring.toSemiring.{u2} R₂ _inst_2) _inst_6] [_inst_16 : Module.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7] {σ₁₂ : RingHom.{u1, u2} R R₂ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R₂ (CommSemiring.toSemiring.{u2} R₂ _inst_2))} {σ₂₃ : RingHom.{u2, u3} R₂ R₃ (Semiring.toNonAssocSemiring.{u2} R₂ (CommSemiring.toSemiring.{u2} R₂ _inst_2)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} {σ₁₃ : RingHom.{u1, u3} R R₃ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} [_inst_23 : RingHomCompTriple.{u1, u2, u3} R R₂ R₃ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₂ σ₂₃ σ₁₃] (f : LinearMap.{u1, u2, u4, u5} R R₂ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u2} R₂ _inst_2) σ₁₂ M N _inst_5 _inst_6 _inst_14 _inst_15) (g : LinearMap.{u2, u3, u5, u6} R₂ R₃ (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) (x : M), Eq.{succ u6} P (coeFn.{max (succ u4) (succ u6), max (succ u4) (succ u6)} (LinearMap.{u1, u3, u4, u6} R R₃ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M P _inst_5 _inst_7 _inst_14 _inst_16) (fun (_x : LinearMap.{u1, u3, u4, u6} R R₃ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ 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 but is expected to have type
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(CommSemiring.toSemiring.{u6} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3))} [_inst_23 : RingHomCompTriple.{u6, u5, u2} R R₂ R₃ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₁₂ σ₂₃ σ₁₃] (f : LinearMap.{u6, u5, u4, u3} R R₂ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u5} R₂ _inst_2) σ₁₂ M N _inst_5 _inst_6 _inst_14 _inst_15) (g : LinearMap.{u5, u2, u3, u1} R₂ R₃ (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) (x : M), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => P) x) (FunLike.coe.{max (succ u4) (succ u1), succ u4, succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : LinearMap.{u5, u2, u3, u1} R₂ R₃ (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 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(CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_5 _inst_7 _inst_14 _inst_16 σ₁₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_16 (smulCommClass_self.{u2, u1} R₃ P (CommSemiring.toCommMonoid.{u2} R₃ _inst_3) (MulActionWithZero.toMulAction.{u2, u1} R₃ P (Semiring.toMonoidWithZero.{u2} R₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3)) (AddMonoid.toZero.{u1} P (AddCommMonoid.toAddMonoid.{u1} P _inst_7)) (Module.toMulActionWithZero.{u2, u1} R₃ P (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_7 _inst_16)))) (RingHom.id.{u2} R₃ (Semiring.toNonAssocSemiring.{u2} R₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3)))) (LinearMap.lcompₛₗ.{u6, u5, u2, u4, u3, u1} R _inst_1 R₂ _inst_2 R₃ _inst_3 M N P _inst_5 _inst_6 _inst_7 _inst_14 _inst_15 _inst_16 σ₁₂ σ₂₃ σ₁₃ _inst_23 f) g) x) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (LinearMap.{u5, u2, u3, u1} R₂ R₃ (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u5, u2, u3, u1} R₂ R₃ N P (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) g (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearMap.{u6, u5, u4, u3} R R₂ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u5} R₂ _inst_2) σ₁₂ M N _inst_5 _inst_6 _inst_14 _inst_15) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => N) _x) (LinearMap.instFunLikeLinearMap.{u6, u5, u4, u3} R R₂ M N (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u5} R₂ _inst_2) _inst_5 _inst_6 _inst_14 _inst_15 σ₁₂) f x))
+  forall {R : Type.{u6}} [_inst_1 : CommSemiring.{u6} R] {R₂ : Type.{u5}} [_inst_2 : CommSemiring.{u5} R₂] {R₃ : Type.{u2}} [_inst_3 : CommSemiring.{u2} R₃] {M : Type.{u4}} {N : Type.{u3}} {P : Type.{u1}} [_inst_5 : AddCommMonoid.{u4} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u1} P] [_inst_14 : Module.{u6, u4} R M (CommSemiring.toSemiring.{u6} R _inst_1) _inst_5] [_inst_15 : Module.{u5, u3} R₂ N (CommSemiring.toSemiring.{u5} R₂ _inst_2) _inst_6] [_inst_16 : Module.{u2, u1} R₃ P (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_7] {σ₁₂ : RingHom.{u6, u5} R R₂ (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)) (Semiring.toNonAssocSemiring.{u5} R₂ (CommSemiring.toSemiring.{u5} R₂ _inst_2))} {σ₂₃ : RingHom.{u5, u2} R₂ R₃ (Semiring.toNonAssocSemiring.{u5} R₂ (CommSemiring.toSemiring.{u5} R₂ _inst_2)) (Semiring.toNonAssocSemiring.{u2} R₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3))} {σ₁₃ : RingHom.{u6, u2} R R₃ (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)) (Semiring.toNonAssocSemiring.{u2} R₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3))} [_inst_23 : RingHomCompTriple.{u6, u5, u2} R R₂ R₃ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₁₂ σ₂₃ σ₁₃] (f : LinearMap.{u6, u5, u4, u3} R R₂ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u5} R₂ _inst_2) σ₁₂ M N _inst_5 _inst_6 _inst_14 _inst_15) (g : LinearMap.{u5, u2, u3, u1} R₂ R₃ (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) (x : M), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => P) x) (FunLike.coe.{max (succ u4) (succ u1), succ u4, succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : LinearMap.{u5, u2, u3, u1} R₂ R₃ (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) => LinearMap.{u6, u2, u4, u1} R R₃ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₁₃ M P _inst_5 _inst_7 _inst_14 _inst_16) g) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => P) _x) (LinearMap.instFunLikeLinearMap.{u6, u2, u4, u1} R R₃ M P (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_5 _inst_7 _inst_14 _inst_16 σ₁₃) (FunLike.coe.{max (max (succ u4) (succ u3)) (succ u1), max (succ u3) (succ u1), max (succ u4) (succ u1)} (LinearMap.{u2, u2, max u1 u3, max u1 u4} R₃ R₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3) (CommSemiring.toSemiring.{u2} R₃ _inst_3) (RingHom.id.{u2} R₃ (Semiring.toNonAssocSemiring.{u2} R₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3))) (LinearMap.{u5, u2, u3, u1} R₂ R₃ (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) (LinearMap.{u6, u2, u4, u1} R R₃ 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(Module.toMulActionWithZero.{u2, u1} R₃ P (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_7 _inst_16)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u6, u2, u2, u4, u1} R R₃ R₃ M P (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_5 _inst_7 _inst_14 _inst_16 σ₁₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_16 (smulCommClass_self.{u2, u1} R₃ P (CommSemiring.toCommMonoid.{u2} R₃ _inst_3) (MulActionWithZero.toMulAction.{u2, u1} R₃ P (Semiring.toMonoidWithZero.{u2} R₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3)) (AddMonoid.toZero.{u1} P (AddCommMonoid.toAddMonoid.{u1} P _inst_7)) (Module.toMulActionWithZero.{u2, u1} R₃ P (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_7 _inst_16))))) (LinearMap.{u5, u2, u3, u1} R₂ R₃ (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) (fun (_x : LinearMap.{u5, u2, u3, u1} R₂ R₃ (CommSemiring.toSemiring.{u5} R₂ _inst_2) 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(CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) (LinearMap.addCommMonoid.{u6, u2, u4, u1} R R₃ M P (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_5 _inst_7 _inst_14 _inst_16 σ₁₃) (LinearMap.instModuleLinearMapAddCommMonoid.{u5, u2, u2, u3, u1} R₂ R₃ R₃ N P (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_16 (smulCommClass_self.{u2, u1} R₃ P (CommSemiring.toCommMonoid.{u2} R₃ _inst_3) (MulActionWithZero.toMulAction.{u2, u1} R₃ P (Semiring.toMonoidWithZero.{u2} R₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3)) (AddMonoid.toZero.{u1} P (AddCommMonoid.toAddMonoid.{u1} P _inst_7)) (Module.toMulActionWithZero.{u2, u1} R₃ P (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_7 _inst_16)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u6, u2, u2, u4, u1} R R₃ R₃ M P (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_5 _inst_7 _inst_14 _inst_16 σ₁₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_16 (smulCommClass_self.{u2, u1} R₃ P (CommSemiring.toCommMonoid.{u2} R₃ _inst_3) (MulActionWithZero.toMulAction.{u2, u1} R₃ P (Semiring.toMonoidWithZero.{u2} R₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3)) (AddMonoid.toZero.{u1} P (AddCommMonoid.toAddMonoid.{u1} P _inst_7)) (Module.toMulActionWithZero.{u2, u1} R₃ P (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_7 _inst_16)))) (RingHom.id.{u2} R₃ (Semiring.toNonAssocSemiring.{u2} R₃ (CommSemiring.toSemiring.{u2} R₃ _inst_3)))) (LinearMap.lcompₛₗ.{u6, u5, u2, u4, u3, u1} R _inst_1 R₂ _inst_2 R₃ _inst_3 M N P _inst_5 _inst_6 _inst_7 _inst_14 _inst_15 _inst_16 σ₁₂ σ₂₃ σ₁₃ _inst_23 f) g) x) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (LinearMap.{u5, u2, u3, u1} R₂ R₃ (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u5, u2, u3, u1} R₂ R₃ N P (CommSemiring.toSemiring.{u5} R₂ _inst_2) (CommSemiring.toSemiring.{u2} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) g (FunLike.coe.{max (succ u4) (succ u3), succ u4, succ u3} (LinearMap.{u6, u5, u4, u3} R R₂ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u5} R₂ _inst_2) σ₁₂ M N _inst_5 _inst_6 _inst_14 _inst_15) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => N) _x) (LinearMap.instFunLikeLinearMap.{u6, u5, u4, u3} R R₂ M N (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u5} R₂ _inst_2) _inst_5 _inst_6 _inst_14 _inst_15 σ₁₂) f x))
 Case conversion may be inaccurate. Consider using '#align linear_map.lcompₛₗ_apply LinearMap.lcompₛₗ_applyₓ'. -/
 @[simp]
 theorem lcompₛₗ_apply (f : M →ₛₗ[σ₁₂] N) (g : N →ₛₗ[σ₂₃] P) (x : M) :
@@ -494,7 +494,7 @@ section
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {M : Type.{u2}} {Nₗ : Type.{u3}} {Pₗ : Type.{u4}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_19 : Module.{u1, u3} R Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10] [_inst_20 : Module.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11] (f : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (g : LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (x : M), Eq.{succ u4} 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(LinearMap.addCommMonoid.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u2, u3} R R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_19 (LinearMap.llcomp._proof_1.{u1, u3} R _inst_1 Nₗ _inst_10 _inst_19)) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, 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 but is expected to have type
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_inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, max u1 u3, max u1 u2} R R R (LinearMap.{u4, u4, u1, u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u4, u4, u1, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (LinearMap.addCommMonoid.{u4, u4, u1, u3} R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R 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(CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_19)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (LinearMap.instSMulCommClassLinearMapInstSMulLinearMapInstSMulLinearMap.{u4, u4, u4, u4, u1, u2} R R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toDistribMulAction.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toDistribMulAction.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))))) (LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (fun (_x : LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R 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(smulCommClass_self.{u4, u3} R Nₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u3} R Nₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10)) (Module.toMulActionWithZero.{u4, u3} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_19)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))))) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, max u3 u2, max (max u1 u3) u2} R R (LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (LinearMap.{u4, u4, max u3 u1, max u2 u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (LinearMap.{u4, u4, u1, u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u4, u4, u1, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (LinearMap.addCommMonoid.{u4, u4, u1, u3} R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.addCommMonoid.{u4, u4, u1, u2} R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u3} R R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R 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(Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))))) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, max u3 u2, max (max u1 u3) u2} R R (LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (LinearMap.{u4, u4, max u3 u1, max u2 u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (LinearMap.{u4, u4, u1, u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u4, u4, u1, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) 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(AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u3, u2} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, max u1 u3, max u1 u2} R R R (LinearMap.{u4, u4, u1, u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u4, u4, u1, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (LinearMap.addCommMonoid.{u4, u4, u1, u3} R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.addCommMonoid.{u4, u4, u1, u2} R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u3} R R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_19 (smulCommClass_self.{u4, u3} R Nₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u3} R Nₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10)) (Module.toMulActionWithZero.{u4, u3} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_19)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (LinearMap.instSMulCommClassLinearMapInstSMulLinearMapInstSMulLinearMap.{u4, u4, u4, u4, u1, u2} R R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toDistribMulAction.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toDistribMulAction.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.llcomp.{u4, u1, u3, u2} R _inst_1 M Nₗ Pₗ _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20) f) g) x) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) Nₗ (fun (_x : Nₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : Nₗ) => Pₗ) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u3, u2} R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) f (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u4, u4, u1, u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => Nₗ) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, u1, u3} R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) g x))
 Case conversion may be inaccurate. Consider using '#align linear_map.llcomp_apply LinearMap.llcomp_applyₓ'. -/
 @[simp]
 theorem llcomp_apply (f : Nₗ →ₗ[R] Pₗ) (g : M →ₗ[R] Nₗ) (x : M) :
@@ -506,7 +506,7 @@ theorem llcomp_apply (f : Nₗ →ₗ[R] Pₗ) (g : M →ₗ[R] Nₗ) (x : M) :
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {M : Type.{u2}} {Nₗ : Type.{u3}} {Pₗ : Type.{u4}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_19 : Module.{u1, u3} R Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10] [_inst_20 : Module.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11] (f : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (g : LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19), Eq.{max (succ u2) 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(CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u2, u3} R R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_19 (LinearMap.llcomp._proof_1.{u1, u3} R _inst_1 Nₗ _inst_10 _inst_19)) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20))) => (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) -> (LinearMap.{u1, u1, u2, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Pₗ _inst_5 _inst_11 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(LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u2, u3} R R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_19 (LinearMap.llcomp._proof_1.{u1, u3} R _inst_1 Nₗ _inst_10 _inst_19)) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R 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(CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) -> (LinearMap.{u1, u1, max u2 u3, max u2 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u1, u1, u2, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M Nₗ (CommSemiring.toSemiring.{u1} R 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_inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)))) (LinearMap.hasCoeToFun.{u1, u1, max u3 u4, max (max u2 u3) u2 u4} R R (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (LinearMap.{u1, u1, max u2 u3, max u2 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u1, u1, u2, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u2, u3} R R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_19 (LinearMap.llcomp._proof_1.{u1, u3} R _inst_1 Nₗ _inst_10 _inst_19)) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20))) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.addCommMonoid.{u1, u1, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, max u2 u3, max u2 u4} R R (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u1, u1, u2, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R 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_inst_1)))) (LinearMap.module.{u1, u1, u1, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_3.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)) (LinearMap.module.{u1, u1, u1, max u2 u3, max u2 u4} R R R (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u1, u1, u2, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u2, u3} R R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_19 (LinearMap.llcomp._proof_1.{u1, u3} R _inst_1 Nₗ _inst_10 _inst_19)) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)) (LinearMap.llcomp._proof_4.{u1, u4, u2} R _inst_1 M Pₗ _inst_5 _inst_11 _inst_14 _inst_20)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.llcomp.{u1, u2, u3, u4} R _inst_1 M Nₗ Pₗ _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20) f) g) (LinearMap.comp.{u1, u1, u1, u2, u3, u4} R R R M Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (RingHomCompTriple.ids.{u1, u1} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f g)
 but is expected to have type
-  forall {R : Type.{u4}} [_inst_1 : CommSemiring.{u4} R] {M : Type.{u1}} {Nₗ : Type.{u3}} {Pₗ : Type.{u2}} [_inst_5 : AddCommMonoid.{u1} M] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u2} Pₗ] [_inst_14 : Module.{u4, u1} R M (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5] [_inst_19 : Module.{u4, u3} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10] [_inst_20 : Module.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11] (f : LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (g : LinearMap.{u4, u4, u1, u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19), Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : LinearMap.{u4, u4, u1, u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) => LinearMap.{u4, u4, u1, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) g) (FunLike.coe.{max (max (succ u1) (succ u3)) (succ u2), max (succ u1) (succ u3), max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) => 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(CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toDistribMulAction.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))))) (LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (fun (_x : LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) => LinearMap.{u4, u4, max u3 u1, max u2 u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) 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(CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u3} R R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_19 (smulCommClass_self.{u4, u3} R Nₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u3} R Nₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10)) (Module.toMulActionWithZero.{u4, u3} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_19)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u3, u2} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R 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(CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, max u1 u3, max u1 u2} R R R (LinearMap.{u4, u4, u1, u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u4, u4, 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(CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toDistribMulAction.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))))) (LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (fun (_x : LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) => LinearMap.{u4, u4, max u3 u1, max u2 u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (LinearMap.{u4, u4, u1, u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u4, u4, u1, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (LinearMap.addCommMonoid.{u4, u4, u1, u3} R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.addCommMonoid.{u4, u4, u1, u2} R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u3} R R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_19 (smulCommClass_self.{u4, u3} R Nₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u3} R Nₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10)) (Module.toMulActionWithZero.{u4, u3} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_19)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))))) _x) (LinearMap.instFunLikeLinearMap.{u4, u4, max u3 u2, max (max u1 u3) u2} R R (LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (LinearMap.{u4, u4, max u3 u1, max u2 u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (LinearMap.{u4, u4, u1, u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u4, u4, u1, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (LinearMap.addCommMonoid.{u4, u4, u1, u3} R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.addCommMonoid.{u4, u4, u1, u2} R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u3} R R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_19 (smulCommClass_self.{u4, u3} R Nₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u3} R Nₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10)) (Module.toMulActionWithZero.{u4, u3} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_19)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))))) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (LinearMap.addCommMonoid.{u4, u4, u3, u2} R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.addCommMonoid.{u4, u4, max u1 u3, max u1 u2} R R (LinearMap.{u4, u4, u1, u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u4, u4, u1, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (LinearMap.addCommMonoid.{u4, u4, u1, u3} R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.addCommMonoid.{u4, u4, u1, u2} R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u3} R R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_19 (smulCommClass_self.{u4, u3} R Nₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u3} R Nₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10)) (Module.toMulActionWithZero.{u4, u3} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_19)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u3, u2} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, max u1 u3, max u1 u2} R R R (LinearMap.{u4, u4, u1, u3} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u4, u4, u1, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (LinearMap.addCommMonoid.{u4, u4, u1, u3} R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.addCommMonoid.{u4, u4, u1, u2} R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u3} R R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_19 (smulCommClass_self.{u4, u3} R Nₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u3} R Nₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10)) (Module.toMulActionWithZero.{u4, u3} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_19)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (LinearMap.instSMulCommClassLinearMapInstSMulLinearMapInstSMulLinearMap.{u4, u4, u4, u4, u1, u2} R R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toDistribMulAction.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toDistribMulAction.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))) (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20))))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.llcomp.{u4, u1, u3, u2} R _inst_1 M Nₗ Pₗ _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20) f) g) (LinearMap.comp.{u4, u4, u4, u1, u3, u2} R R R M Nₗ Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_11 _inst_14 _inst_19 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (RingHomCompTriple.ids.{u4, u4} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) f g)
 Case conversion may be inaccurate. Consider using '#align linear_map.llcomp_apply' LinearMap.llcomp_apply'ₓ'. -/
 theorem llcomp_apply' (f : Nₗ →ₗ[R] Pₗ) (g : M →ₗ[R] Nₗ) : llcomp R M Nₗ Pₗ f g = f ∘ₗ g :=
   rfl
@@ -528,7 +528,7 @@ include σ₄₃
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {R₂ : Type.{u2}} [_inst_2 : CommSemiring.{u2} R₂] {R₃ : Type.{u3}} [_inst_3 : CommSemiring.{u3} R₃] {R₄ : Type.{u4}} [_inst_4 : CommSemiring.{u4} R₄] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} {Q : Type.{u8}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_8 : AddCommMonoid.{u8} Q] [_inst_14 : Module.{u1, u5} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_15 : Module.{u2, u6} R₂ N (CommSemiring.toSemiring.{u2} R₂ _inst_2) _inst_6] [_inst_16 : Module.{u3, u7} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7] [_inst_17 : Module.{u4, u8} R₄ Q (CommSemiring.toSemiring.{u4} R₄ _inst_4) _inst_8] {σ₂₃ : RingHom.{u2, u3} R₂ R₃ (Semiring.toNonAssocSemiring.{u2} R₂ (CommSemiring.toSemiring.{u2} R₂ _inst_2)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} {σ₁₃ : RingHom.{u1, u3} R R₃ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} {σ₄₂ : RingHom.{u4, u2} R₄ R₂ (Semiring.toNonAssocSemiring.{u4} R₄ (CommSemiring.toSemiring.{u4} R₄ _inst_4)) (Semiring.toNonAssocSemiring.{u2} R₂ (CommSemiring.toSemiring.{u2} R₂ _inst_2))} {σ₄₃ : RingHom.{u4, u3} R₄ R₃ (Semiring.toNonAssocSemiring.{u4} R₄ (CommSemiring.toSemiring.{u4} R₄ _inst_4)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} [_inst_24 : RingHomCompTriple.{u4, u2, u3} R₄ R₂ R₃ (CommSemiring.toSemiring.{u4} R₄ _inst_4) (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₄₂ σ₂₃ σ₄₃] (f : LinearMap.{u1, u3, u5, max u6 u7} R R₃ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M (LinearMap.{u2, u3, u6, u7} R₂ R₃ (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) _inst_5 (LinearMap.addCommMonoid.{u2, u3, u6, u7} R₂ R₃ N P (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) _inst_14 (LinearMap.module.{u2, u3, u3, u6, u7} R₂ R₃ R₃ N P (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_16 (smulCommClass_self.{u3, u7} R₃ P (CommSemiring.toCommMonoid.{u3} R₃ _inst_3) (MulActionWithZero.toMulAction.{u3, u7} R₃ P (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3)) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7 _inst_16))))) (g : LinearMap.{u4, u2, u8, u6} R₄ R₂ (CommSemiring.toSemiring.{u4} R₄ _inst_4) (CommSemiring.toSemiring.{u2} R₂ _inst_2) σ₄₂ Q N _inst_8 _inst_6 _inst_17 _inst_15) (m : M) (q 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 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {R₂ : Type.{u7}} [_inst_2 : CommSemiring.{u7} R₂] {R₃ : Type.{u3}} [_inst_3 : CommSemiring.{u3} R₃] {R₄ : Type.{u8}} [_inst_4 : CommSemiring.{u8} R₄] {M : Type.{u2}} {N : Type.{u5}} {P : Type.{u4}} {Q : Type.{u6}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_6 : AddCommMonoid.{u5} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_8 : AddCommMonoid.{u6} Q] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_15 : Module.{u7, u5} R₂ N (CommSemiring.toSemiring.{u7} R₂ _inst_2) _inst_6] [_inst_16 : Module.{u3, u4} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7] [_inst_17 : Module.{u8, u6} R₄ Q (CommSemiring.toSemiring.{u8} R₄ _inst_4) _inst_8] {σ₂₃ : RingHom.{u7, u3} R₂ R₃ (Semiring.toNonAssocSemiring.{u7} R₂ (CommSemiring.toSemiring.{u7} R₂ _inst_2)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} {σ₁₃ : RingHom.{u1, u3} R R₃ (Semiring.toNonAssocSemiring.{u1} R 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+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {R₂ : Type.{u7}} [_inst_2 : CommSemiring.{u7} R₂] {R₃ : Type.{u3}} [_inst_3 : CommSemiring.{u3} R₃] {R₄ : Type.{u8}} [_inst_4 : CommSemiring.{u8} R₄] {M : Type.{u2}} {N : Type.{u5}} {P : Type.{u4}} {Q : Type.{u6}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_6 : AddCommMonoid.{u5} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_8 : AddCommMonoid.{u6} Q] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_15 : Module.{u7, u5} R₂ N (CommSemiring.toSemiring.{u7} R₂ _inst_2) _inst_6] [_inst_16 : Module.{u3, u4} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7] [_inst_17 : Module.{u8, u6} R₄ Q (CommSemiring.toSemiring.{u8} R₄ _inst_4) _inst_8] {σ₂₃ : RingHom.{u7, u3} R₂ R₃ (Semiring.toNonAssocSemiring.{u7} R₂ (CommSemiring.toSemiring.{u7} R₂ _inst_2)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} {σ₁₃ : RingHom.{u1, u3} R R₃ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} {σ₄₂ : RingHom.{u8, u7} R₄ R₂ (Semiring.toNonAssocSemiring.{u8} R₄ (CommSemiring.toSemiring.{u8} R₄ _inst_4)) (Semiring.toNonAssocSemiring.{u7} R₂ (CommSemiring.toSemiring.{u7} R₂ _inst_2))} {σ₄₃ : RingHom.{u8, u3} R₄ R₃ (Semiring.toNonAssocSemiring.{u8} R₄ (CommSemiring.toSemiring.{u8} R₄ _inst_4)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} [_inst_24 : RingHomCompTriple.{u8, u7, u3} R₄ R₂ R₃ (CommSemiring.toSemiring.{u8} R₄ _inst_4) (CommSemiring.toSemiring.{u7} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₄₂ σ₂₃ σ₄₃] (f : LinearMap.{u1, u3, u2, max u4 u5} R R₃ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M (LinearMap.{u7, u3, u5, u4} R₂ R₃ (CommSemiring.toSemiring.{u7} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) _inst_5 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 Case conversion may be inaccurate. Consider using '#align linear_map.compl₂_apply LinearMap.compl₂_applyₓ'. -/
 @[simp]
 theorem compl₂_apply (g : Q →ₛₗ[σ₄₂] N) (m : M) (q : Q) : f.compl₂ g m q = f m (g q) :=
@@ -563,7 +563,7 @@ def compl₁₂ (f : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ) (g : Qₗ →ₗ[R] M
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {Mₗ : Type.{u2}} {Nₗ : Type.{u3}} {Pₗ : Type.{u4}} {Qₗ : Type.{u5}} {Qₗ' : Type.{u6}} [_inst_9 : AddCommMonoid.{u2} Mₗ] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_12 : AddCommMonoid.{u5} Qₗ] [_inst_13 : AddCommMonoid.{u6} Qₗ'] [_inst_18 : Module.{u1, u2} R Mₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_9] [_inst_19 : Module.{u1, u3} R Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10] [_inst_20 : Module.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11] [_inst_21 : Module.{u1, u5} R Qₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_12] [_inst_22 : Module.{u1, u6} R Qₗ' (CommSemiring.toSemiring.{u1} R _inst_1) _inst_13] (f : LinearMap.{u1, u1, u2, max u3 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Mₗ (LinearMap.{u1, u1, u3, u4} R R 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 but is expected to have type
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+  forall {R : Type.{u6}} [_inst_1 : CommSemiring.{u6} R] {Mₗ : Type.{u5}} {Nₗ : Type.{u3}} {Pₗ : Type.{u4}} {Qₗ : Type.{u2}} {Qₗ' : Type.{u1}} [_inst_9 : AddCommMonoid.{u5} Mₗ] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_12 : AddCommMonoid.{u2} Qₗ] [_inst_13 : AddCommMonoid.{u1} Qₗ'] [_inst_18 : Module.{u6, u5} R Mₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_9] [_inst_19 : Module.{u6, u3} R Nₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10] [_inst_20 : Module.{u6, u4} R Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_11] [_inst_21 : Module.{u6, u2} R Qₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_12] [_inst_22 : Module.{u6, u1} R Qₗ' (CommSemiring.toSemiring.{u6} R _inst_1) _inst_13] (f : LinearMap.{u6, u6, u5, max u4 u3} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Mₗ (LinearMap.{u6, u6, u3, u4} R R 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_inst_1) (MulActionWithZero.toMulAction.{u6, u4} R Pₗ (Semiring.toMonoidWithZero.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u6, u4} R Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_11 _inst_20))))) Mₗ (fun (_x : Mₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : Mₗ) => LinearMap.{u6, u6, u3, u4} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _x) (LinearMap.instFunLikeLinearMap.{u6, u6, u5, max u3 u4} R R Mₗ (LinearMap.{u6, u6, u3, u4} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_9 (LinearMap.addCommMonoid.{u6, u6, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)))) _inst_18 (LinearMap.instModuleLinearMapAddCommMonoid.{u6, u6, u6, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_20 (smulCommClass_self.{u6, u4} R Pₗ (CommSemiring.toCommMonoid.{u6} R _inst_1) (MulActionWithZero.toMulAction.{u6, u4} R Pₗ (Semiring.toMonoidWithZero.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u6, u4} R Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)))) f (FunLike.coe.{max (succ u5) (succ u2), succ u2, succ u5} (LinearMap.{u6, u6, u2, u5} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Qₗ Mₗ _inst_12 _inst_9 _inst_21 _inst_18) Qₗ (fun (_x : Qₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : Qₗ) => Mₗ) _x) (LinearMap.instFunLikeLinearMap.{u6, u6, u2, u5} R R Qₗ Mₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_12 _inst_9 _inst_21 _inst_18 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)))) g x)) (FunLike.coe.{max (succ u3) (succ u1), succ u1, succ u3} (LinearMap.{u6, u6, u1, u3} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Qₗ' Nₗ _inst_13 _inst_10 _inst_22 _inst_19) Qₗ' (fun (_x : Qₗ') => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : Qₗ') => Nₗ) _x) (LinearMap.instFunLikeLinearMap.{u6, u6, u1, u3} R R Qₗ' Nₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_13 _inst_10 _inst_22 _inst_19 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)))) g' y))
 Case conversion may be inaccurate. Consider using '#align linear_map.compl₁₂_apply LinearMap.compl₁₂_applyₓ'. -/
 @[simp]
 theorem compl₁₂_apply (f : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ) (g : Qₗ →ₗ[R] Mₗ) (g' : Qₗ' →ₗ[R] Nₗ) (x : Qₗ)
@@ -588,7 +588,7 @@ theorem compl₁₂_id_id (f : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ) : f.compl₁
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {Mₗ : Type.{u2}} {Nₗ : Type.{u3}} {Pₗ : Type.{u4}} {Qₗ : Type.{u5}} {Qₗ' : Type.{u6}} [_inst_9 : AddCommMonoid.{u2} Mₗ] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_12 : AddCommMonoid.{u5} Qₗ] [_inst_13 : AddCommMonoid.{u6} Qₗ'] [_inst_18 : Module.{u1, u2} R Mₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_9] [_inst_19 : Module.{u1, u3} R Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10] [_inst_20 : Module.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11] [_inst_21 : Module.{u1, u5} R Qₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_12] [_inst_22 : Module.{u1, u6} R Qₗ' (CommSemiring.toSemiring.{u1} R _inst_1) _inst_13] {f₁ : LinearMap.{u1, u1, u2, max u3 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Mₗ (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_9 (LinearMap.addCommMonoid.{u1, u1, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_18 (LinearMap.module.{u1, u1, u1, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (smulCommClass_self.{u1, u4} R Pₗ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u4} R Pₗ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (Module.toMulActionWithZero.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11 _inst_20))))} {f₂ : LinearMap.{u1, u1, u2, max u3 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Mₗ (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_9 (LinearMap.addCommMonoid.{u1, u1, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_18 (LinearMap.module.{u1, u1, u1, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (smulCommClass_self.{u1, u4} R Pₗ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u4} R Pₗ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (Module.toMulActionWithZero.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11 _inst_20))))} {g : LinearMap.{u1, u1, u5, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Qₗ Mₗ _inst_12 _inst_9 _inst_21 _inst_18} {g' : LinearMap.{u1, u1, u6, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Qₗ' Nₗ _inst_13 _inst_10 _inst_22 _inst_19}, (Function.Surjective.{succ u5, succ u2} Qₗ Mₗ (coeFn.{max (succ u5) (succ u2), max (succ u5) (succ u2)} (LinearMap.{u1, u1, u5, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Qₗ Mₗ _inst_12 _inst_9 _inst_21 _inst_18) (fun (_x : LinearMap.{u1, u1, u5, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Qₗ Mₗ _inst_12 _inst_9 _inst_21 _inst_18) => Qₗ -> Mₗ) (LinearMap.hasCoeToFun.{u1, u1, u5, u2} R R Qₗ Mₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_12 _inst_9 _inst_21 _inst_18 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) g)) -> (Function.Surjective.{succ u6, succ u3} Qₗ' Nₗ (coeFn.{max (succ u6) (succ u3), max (succ u6) (succ u3)} (LinearMap.{u1, u1, u6, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Qₗ' Nₗ _inst_13 _inst_10 _inst_22 _inst_19) (fun (_x : LinearMap.{u1, u1, u6, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Qₗ' Nₗ _inst_13 _inst_10 _inst_22 _inst_19) => Qₗ' -> Nₗ) (LinearMap.hasCoeToFun.{u1, u1, u6, u3} R R Qₗ' Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_13 _inst_10 _inst_22 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) g')) -> (Iff (Eq.{max (succ u5) (succ (max u6 u4))} (LinearMap.{u1, u1, u5, max u6 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Qₗ (LinearMap.{u1, u1, u6, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Qₗ' Pₗ _inst_13 _inst_11 _inst_22 _inst_20) _inst_12 (LinearMap.addCommMonoid.{u1, u1, u6, u4} R R Qₗ' Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_13 _inst_11 _inst_22 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_21 (LinearMap.module.{u1, u1, u1, u6, u4} R R R Qₗ' Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_13 _inst_11 _inst_22 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.compl₁₂._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20))) (LinearMap.compl₁₂.{u1, u2, u3, u4, u5, u6} R _inst_1 Mₗ Nₗ Pₗ Qₗ Qₗ' _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 _inst_18 _inst_19 _inst_20 _inst_21 _inst_22 f₁ g g') (LinearMap.compl₁₂.{u1, u2, u3, u4, u5, u6} R _inst_1 Mₗ Nₗ Pₗ Qₗ Qₗ' _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 _inst_18 _inst_19 _inst_20 _inst_21 _inst_22 f₂ g g')) (Eq.{max (succ u2) (succ (max u3 u4))} (LinearMap.{u1, u1, u2, max u3 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Mₗ (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_9 (LinearMap.addCommMonoid.{u1, u1, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_18 (LinearMap.module.{u1, u1, u1, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (smulCommClass_self.{u1, u4} R Pₗ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u4} R Pₗ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (Module.toMulActionWithZero.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11 _inst_20))))) f₁ f₂))
 but is expected to have type
-  forall {R : Type.{u6}} [_inst_1 : CommSemiring.{u6} R] {Mₗ : Type.{u5}} {Nₗ : Type.{u3}} {Pₗ : Type.{u4}} {Qₗ : Type.{u2}} {Qₗ' : Type.{u1}} [_inst_9 : AddCommMonoid.{u5} Mₗ] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_12 : AddCommMonoid.{u2} Qₗ] [_inst_13 : AddCommMonoid.{u1} Qₗ'] [_inst_18 : Module.{u6, u5} R Mₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_9] [_inst_19 : Module.{u6, u3} R Nₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10] [_inst_20 : Module.{u6, u4} R Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_11] [_inst_21 : Module.{u6, u2} R Qₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_12] [_inst_22 : Module.{u6, u1} R Qₗ' (CommSemiring.toSemiring.{u6} R _inst_1) _inst_13] {f₁ : LinearMap.{u6, u6, u5, max u4 u3} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Mₗ (LinearMap.{u6, u6, u3, u4} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_9 (LinearMap.addCommMonoid.{u6, u6, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)))) _inst_18 (LinearMap.instModuleLinearMapAddCommMonoid.{u6, u6, u6, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_20 (smulCommClass_self.{u6, u4} R Pₗ (CommSemiring.toCommMonoid.{u6} R _inst_1) (MulActionWithZero.toMulAction.{u6, u4} R Pₗ (Semiring.toMonoidWithZero.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u6, u4} R Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_11 _inst_20))))} {f₂ : LinearMap.{u6, u6, u5, max u4 u3} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Mₗ (LinearMap.{u6, u6, u3, u4} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_9 (LinearMap.addCommMonoid.{u6, u6, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R 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{g' : LinearMap.{u6, u6, u1, u3} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Qₗ' Nₗ _inst_13 _inst_10 _inst_22 _inst_19}, (Function.Surjective.{succ u2, succ u5} Qₗ Mₗ (FunLike.coe.{max (succ u5) (succ u2), succ u2, succ u5} (LinearMap.{u6, u6, u2, u5} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Qₗ Mₗ _inst_12 _inst_9 _inst_21 _inst_18) Qₗ (fun (_x : Qₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : Qₗ) => Mₗ) _x) (LinearMap.instFunLikeLinearMap.{u6, u6, u2, u5} R R Qₗ Mₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_12 _inst_9 _inst_21 _inst_18 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)))) g)) -> 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+  forall {R : Type.{u6}} [_inst_1 : CommSemiring.{u6} R] {Mₗ : Type.{u5}} {Nₗ : Type.{u3}} {Pₗ : Type.{u4}} {Qₗ : Type.{u2}} {Qₗ' : Type.{u1}} [_inst_9 : AddCommMonoid.{u5} Mₗ] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_12 : AddCommMonoid.{u2} Qₗ] [_inst_13 : AddCommMonoid.{u1} Qₗ'] [_inst_18 : Module.{u6, u5} R Mₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_9] [_inst_19 : Module.{u6, u3} R Nₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10] [_inst_20 : Module.{u6, u4} R Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_11] [_inst_21 : Module.{u6, u2} R Qₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_12] [_inst_22 : Module.{u6, u1} R Qₗ' (CommSemiring.toSemiring.{u6} R _inst_1) _inst_13] {f₁ : LinearMap.{u6, u6, u5, max u4 u3} R R (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Mₗ (LinearMap.{u6, u6, u3, u4} R R 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(CommSemiring.toSemiring.{u6} R _inst_1) (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_9 (LinearMap.addCommMonoid.{u6, u6, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)))) _inst_18 (LinearMap.instModuleLinearMapAddCommMonoid.{u6, u6, u6, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u6} R (Semiring.toNonAssocSemiring.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1))) (CommSemiring.toSemiring.{u6} R _inst_1) _inst_20 (smulCommClass_self.{u6, u4} R Pₗ (CommSemiring.toCommMonoid.{u6} R _inst_1) (MulActionWithZero.toMulAction.{u6, u4} R Pₗ (Semiring.toMonoidWithZero.{u6} R (CommSemiring.toSemiring.{u6} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u6, u4} R Pₗ (CommSemiring.toSemiring.{u6} R _inst_1) _inst_11 _inst_20))))) f₁ f₂))
 Case conversion may be inaccurate. Consider using '#align linear_map.compl₁₂_inj LinearMap.compl₁₂_injₓ'. -/
 theorem compl₁₂_inj {f₁ f₂ : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ} {g : Qₗ →ₗ[R] Mₗ} {g' : Qₗ' →ₗ[R] Nₗ}
     (hₗ : Function.Surjective g) (hᵣ : Function.Surjective g') :
@@ -618,7 +618,7 @@ def compr₂ (f : M →ₗ[R] Nₗ →ₗ[R] Pₗ) (g : Pₗ →ₗ[R] Qₗ) : M
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {M : Type.{u2}} {Nₗ : Type.{u3}} {Pₗ : Type.{u4}} {Qₗ : Type.{u5}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_12 : AddCommMonoid.{u5} Qₗ] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_19 : Module.{u1, u3} R Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10] [_inst_20 : Module.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11] [_inst_21 : Module.{u1, u5} R Qₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_12] (f : LinearMap.{u1, u1, u2, max u3 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_5 (LinearMap.addCommMonoid.{u1, u1, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_14 (LinearMap.module.{u1, u1, u1, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (smulCommClass_self.{u1, u4} R Pₗ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u4} R Pₗ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) 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(LinearMap.addCommMonoid.{u1, u1, u3, u5} R R Nₗ Qₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_14 (LinearMap.module.{u1, u1, u1, u3, u5} R R R Nₗ Qₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_21 (LinearMap.compr₂._proof_2.{u1, u5} R _inst_1 Qₗ _inst_12 _inst_21))) => M -> (LinearMap.{u1, u1, u3, u5} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Qₗ _inst_10 _inst_12 _inst_19 _inst_21)) (LinearMap.hasCoeToFun.{u1, u1, u2, max u3 u5} R R M (LinearMap.{u1, 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_inst_10 _inst_11 _inst_19 _inst_20) _inst_5 (LinearMap.addCommMonoid.{u1, u1, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_14 (LinearMap.module.{u1, u1, u1, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (smulCommClass_self.{u1, u4} R Pₗ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u4} R Pₗ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (Module.toMulActionWithZero.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11 _inst_20))))) => M -> (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20)) (LinearMap.hasCoeToFun.{u1, u1, u2, max u3 u4} R R M (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 (LinearMap.addCommMonoid.{u1, u1, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_14 (LinearMap.module.{u1, u1, u1, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (smulCommClass_self.{u1, u4} R Pₗ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u4} R Pₗ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (Module.toMulActionWithZero.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) f m) n))
 but is expected to have type
-  forall {R : Type.{u5}} [_inst_1 : CommSemiring.{u5} R] {M : Type.{u4}} {Nₗ : Type.{u2}} {Pₗ : Type.{u3}} {Qₗ : Type.{u1}} [_inst_5 : AddCommMonoid.{u4} M] [_inst_10 : AddCommMonoid.{u2} Nₗ] [_inst_11 : AddCommMonoid.{u3} Pₗ] [_inst_12 : AddCommMonoid.{u1} Qₗ] [_inst_14 : Module.{u5, u4} R M (CommSemiring.toSemiring.{u5} R _inst_1) _inst_5] [_inst_19 : Module.{u5, u2} R Nₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10] [_inst_20 : Module.{u5, u3} R Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_11] [_inst_21 : Module.{u5, u1} R Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_12] (f : LinearMap.{u5, u5, u4, max u3 u2} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) M (LinearMap.{u5, u5, u2, u3} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_5 (LinearMap.addCommMonoid.{u5, u5, u2, u3} R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u5, u5, u5, u2, u3} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_20 (smulCommClass_self.{u5, u3} R Pₗ (CommSemiring.toCommMonoid.{u5} R _inst_1) (MulActionWithZero.toMulAction.{u5, u3} R Pₗ (Semiring.toMonoidWithZero.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)) (AddMonoid.toZero.{u3} Pₗ (AddCommMonoid.toAddMonoid.{u3} Pₗ _inst_11)) (Module.toMulActionWithZero.{u5, u3} R Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_11 _inst_20))))) (g : LinearMap.{u5, u5, u3, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Pₗ Qₗ _inst_11 _inst_12 _inst_20 _inst_21) (m : M) (n : Nₗ), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : Nₗ) => Qₗ) n) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => LinearMap.{u5, u5, u2, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Qₗ _inst_10 _inst_12 _inst_19 _inst_21) m) Nₗ (fun (_x : Nₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : Nₗ) => Qₗ) _x) (LinearMap.instFunLikeLinearMap.{u5, u5, u2, u1} R R Nₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u1), succ u4, max (succ u2) (succ u1)} (LinearMap.{u5, u5, u4, max u1 u2} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) M (LinearMap.{u5, u5, u2, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Qₗ _inst_10 _inst_12 _inst_19 _inst_21) _inst_5 (LinearMap.addCommMonoid.{u5, u5, u2, u1} R R Nₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u5, u5, u5, u2, u1} R R R Nₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_21 (smulCommClass_self.{u5, u1} R Qₗ (CommSemiring.toCommMonoid.{u5} R _inst_1) (MulActionWithZero.toMulAction.{u5, u1} R Qₗ (Semiring.toMonoidWithZero.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)) (AddMonoid.toZero.{u1} Qₗ (AddCommMonoid.toAddMonoid.{u1} Qₗ _inst_12)) (Module.toMulActionWithZero.{u5, u1} R Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_12 _inst_21))))) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => LinearMap.{u5, u5, u2, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Qₗ _inst_10 _inst_12 _inst_19 _inst_21) _x) (LinearMap.instFunLikeLinearMap.{u5, u5, u4, max u2 u1} R R M (LinearMap.{u5, u5, u2, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Qₗ _inst_10 _inst_12 _inst_19 _inst_21) (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_5 (LinearMap.addCommMonoid.{u5, u5, u2, u1} R R Nₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u5, u5, u5, u2, u1} R R R Nₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_21 (smulCommClass_self.{u5, u1} R Qₗ (CommSemiring.toCommMonoid.{u5} R _inst_1) (MulActionWithZero.toMulAction.{u5, u1} R Qₗ (Semiring.toMonoidWithZero.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)) (AddMonoid.toZero.{u1} Qₗ (AddCommMonoid.toAddMonoid.{u1} Qₗ _inst_12)) (Module.toMulActionWithZero.{u5, u1} R Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_12 _inst_21)))) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) (LinearMap.compr₂.{u5, u4, u2, u3, u1} R _inst_1 M Nₗ Pₗ Qₗ _inst_5 _inst_10 _inst_11 _inst_12 _inst_14 _inst_19 _inst_20 _inst_21 f g) m) n) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (LinearMap.{u5, u5, u3, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Pₗ Qₗ _inst_11 _inst_12 _inst_20 _inst_21) Pₗ (fun (_x : Pₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : Pₗ) => Qₗ) _x) (LinearMap.instFunLikeLinearMap.{u5, u5, u3, u1} R R Pₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_11 _inst_12 _inst_20 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) g (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => LinearMap.{u5, u5, u2, u3} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) m) Nₗ (fun (_x : Nₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : Nₗ) => Pₗ) _x) (LinearMap.instFunLikeLinearMap.{u5, u5, u2, u3} R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), succ u4, max (succ u2) (succ u3)} (LinearMap.{u5, u5, u4, max u3 u2} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) M (LinearMap.{u5, u5, u2, u3} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_5 (LinearMap.addCommMonoid.{u5, u5, u2, u3} R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u5, u5, u5, u2, u3} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_20 (smulCommClass_self.{u5, u3} R Pₗ (CommSemiring.toCommMonoid.{u5} R _inst_1) (MulActionWithZero.toMulAction.{u5, u3} R Pₗ (Semiring.toMonoidWithZero.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)) (AddMonoid.toZero.{u3} Pₗ (AddCommMonoid.toAddMonoid.{u3} Pₗ _inst_11)) (Module.toMulActionWithZero.{u5, u3} R Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_11 _inst_20))))) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => LinearMap.{u5, u5, u2, u3} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _x) (LinearMap.instFunLikeLinearMap.{u5, u5, u4, max u2 u3} R R M (LinearMap.{u5, u5, u2, u3} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_5 (LinearMap.addCommMonoid.{u5, u5, u2, u3} R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u5, u5, u5, u2, u3} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_20 (smulCommClass_self.{u5, u3} R Pₗ (CommSemiring.toCommMonoid.{u5} R _inst_1) (MulActionWithZero.toMulAction.{u5, u3} R Pₗ (Semiring.toMonoidWithZero.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)) (AddMonoid.toZero.{u3} Pₗ (AddCommMonoid.toAddMonoid.{u3} Pₗ _inst_11)) (Module.toMulActionWithZero.{u5, u3} R Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) f m) n))
+  forall {R : Type.{u5}} [_inst_1 : CommSemiring.{u5} R] {M : Type.{u4}} {Nₗ : Type.{u2}} {Pₗ : Type.{u3}} {Qₗ : Type.{u1}} [_inst_5 : AddCommMonoid.{u4} M] [_inst_10 : AddCommMonoid.{u2} Nₗ] [_inst_11 : AddCommMonoid.{u3} Pₗ] [_inst_12 : AddCommMonoid.{u1} Qₗ] [_inst_14 : Module.{u5, u4} R M (CommSemiring.toSemiring.{u5} R _inst_1) _inst_5] [_inst_19 : Module.{u5, u2} R Nₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10] [_inst_20 : Module.{u5, u3} R Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_11] [_inst_21 : Module.{u5, u1} R Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_12] (f : LinearMap.{u5, u5, u4, max u3 u2} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) M (LinearMap.{u5, u5, u2, u3} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_5 (LinearMap.addCommMonoid.{u5, u5, u2, u3} R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u5, u5, u5, u2, u3} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_20 (smulCommClass_self.{u5, u3} R Pₗ (CommSemiring.toCommMonoid.{u5} R _inst_1) (MulActionWithZero.toMulAction.{u5, u3} R Pₗ (Semiring.toMonoidWithZero.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)) (AddMonoid.toZero.{u3} Pₗ (AddCommMonoid.toAddMonoid.{u3} Pₗ _inst_11)) (Module.toMulActionWithZero.{u5, u3} R Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_11 _inst_20))))) (g : LinearMap.{u5, u5, u3, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Pₗ Qₗ _inst_11 _inst_12 _inst_20 _inst_21) (m : M) (n : Nₗ), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : Nₗ) => Qₗ) n) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u5, u5, u2, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Qₗ _inst_10 _inst_12 _inst_19 _inst_21) m) Nₗ (fun (_x : Nₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : Nₗ) => Qₗ) _x) (LinearMap.instFunLikeLinearMap.{u5, u5, u2, u1} R R Nₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u1), succ u4, max (succ u2) (succ u1)} (LinearMap.{u5, u5, u4, max u1 u2} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) M (LinearMap.{u5, u5, u2, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Qₗ _inst_10 _inst_12 _inst_19 _inst_21) _inst_5 (LinearMap.addCommMonoid.{u5, u5, u2, u1} R R Nₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u5, u5, u5, u2, u1} R R R Nₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_21 (smulCommClass_self.{u5, u1} R Qₗ (CommSemiring.toCommMonoid.{u5} R _inst_1) (MulActionWithZero.toMulAction.{u5, u1} R Qₗ (Semiring.toMonoidWithZero.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)) (AddMonoid.toZero.{u1} Qₗ (AddCommMonoid.toAddMonoid.{u1} Qₗ _inst_12)) (Module.toMulActionWithZero.{u5, u1} R Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_12 _inst_21))))) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u5, u5, u2, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Qₗ _inst_10 _inst_12 _inst_19 _inst_21) _x) (LinearMap.instFunLikeLinearMap.{u5, u5, u4, max u2 u1} R R M (LinearMap.{u5, u5, u2, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Qₗ _inst_10 _inst_12 _inst_19 _inst_21) (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_5 (LinearMap.addCommMonoid.{u5, u5, u2, u1} R R Nₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u5, u5, u5, u2, u1} R R R Nₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_12 _inst_19 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_21 (smulCommClass_self.{u5, u1} R Qₗ (CommSemiring.toCommMonoid.{u5} R _inst_1) (MulActionWithZero.toMulAction.{u5, u1} R Qₗ (Semiring.toMonoidWithZero.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)) (AddMonoid.toZero.{u1} Qₗ (AddCommMonoid.toAddMonoid.{u1} Qₗ _inst_12)) (Module.toMulActionWithZero.{u5, u1} R Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_12 _inst_21)))) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) (LinearMap.compr₂.{u5, u4, u2, u3, u1} R _inst_1 M Nₗ Pₗ Qₗ _inst_5 _inst_10 _inst_11 _inst_12 _inst_14 _inst_19 _inst_20 _inst_21 f g) m) n) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (LinearMap.{u5, u5, u3, u1} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Pₗ Qₗ _inst_11 _inst_12 _inst_20 _inst_21) Pₗ (fun (_x : Pₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : Pₗ) => Qₗ) _x) (LinearMap.instFunLikeLinearMap.{u5, u5, u3, u1} R R Pₗ Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_11 _inst_12 _inst_20 _inst_21 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) g (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u5, u5, u2, u3} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) m) Nₗ (fun (_x : Nₗ) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : Nₗ) => Pₗ) _x) (LinearMap.instFunLikeLinearMap.{u5, u5, u2, u3} R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) (FunLike.coe.{max (max (succ u4) (succ u2)) (succ u3), succ u4, max (succ u2) (succ u3)} (LinearMap.{u5, u5, u4, max u3 u2} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) M (LinearMap.{u5, u5, u2, u3} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_5 (LinearMap.addCommMonoid.{u5, u5, u2, u3} R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u5, u5, u5, u2, u3} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_20 (smulCommClass_self.{u5, u3} R Pₗ (CommSemiring.toCommMonoid.{u5} R _inst_1) (MulActionWithZero.toMulAction.{u5, u3} R Pₗ (Semiring.toMonoidWithZero.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)) (AddMonoid.toZero.{u3} Pₗ (AddCommMonoid.toAddMonoid.{u3} Pₗ _inst_11)) (Module.toMulActionWithZero.{u5, u3} R Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_11 _inst_20))))) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => LinearMap.{u5, u5, u2, u3} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _x) (LinearMap.instFunLikeLinearMap.{u5, u5, u4, max u2 u3} R R M (LinearMap.{u5, u5, u2, u3} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_5 (LinearMap.addCommMonoid.{u5, u5, u2, u3} R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u5, u5, u5, u2, u3} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) (CommSemiring.toSemiring.{u5} R _inst_1) _inst_20 (smulCommClass_self.{u5, u3} R Pₗ (CommSemiring.toCommMonoid.{u5} R _inst_1) (MulActionWithZero.toMulAction.{u5, u3} R Pₗ (Semiring.toMonoidWithZero.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)) (AddMonoid.toZero.{u3} Pₗ (AddCommMonoid.toAddMonoid.{u3} Pₗ _inst_11)) (Module.toMulActionWithZero.{u5, u3} R Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_11 _inst_20)))) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1)))) f m) n))
 Case conversion may be inaccurate. Consider using '#align linear_map.compr₂_apply LinearMap.compr₂_applyₓ'. -/
 @[simp]
 theorem compr₂_apply (f : M →ₗ[R] Nₗ →ₗ[R] Pₗ) (g : Pₗ →ₗ[R] Qₗ) (m : M) (n : Nₗ) :
@@ -642,7 +642,7 @@ variable {R M}
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {M : Type.{u2}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] (r : R) (m : M), Eq.{succ u2} M (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (LinearMap.module.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_14 (LinearMap.lsmul._proof_1.{u1, u2} R _inst_1 M _inst_5 _inst_14))) (fun (_x : LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (LinearMap.module.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_14 (LinearMap.lsmul._proof_1.{u1, u2} R _inst_1 M _inst_5 _inst_14))) => R -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14)) (LinearMap.hasCoeToFun.{u1, u1, u1, u2} R R R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (LinearMap.module.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_14 (LinearMap.lsmul._proof_1.{u1, u2} R _inst_1 M _inst_5 _inst_14)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.lsmul.{u1, u2} R _inst_1 M _inst_5 _inst_14) r) m) (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_5))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5))) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_14)))) r m)
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {M : Type.{u2}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] (r : R) (m : M), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => M) m) (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : R) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) r) 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 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_14 (smulCommClass_self.{u1, u2} R M (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_14))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : R) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u2} R R R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_14 (smulCommClass_self.{u1, u2} R M (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_14)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.lsmul.{u1, u2} R _inst_1 M _inst_5 _inst_14) r) m) (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_14))))) r m)
+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {M : Type.{u2}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] (r : R) (m : M), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M) => M) m) (FunLike.coe.{succ u2, succ u2, succ u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) r) 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 (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_14 (smulCommClass_self.{u1, u2} R M (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_14))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u1, u2} R R R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M M _inst_5 _inst_5 _inst_14 _inst_14) (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_5 _inst_14 _inst_14 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_14 (smulCommClass_self.{u1, u2} R M (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_14)))) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.lsmul.{u1, u2} R _inst_1 M _inst_5 _inst_14) r) m) (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_14))))) r m)
 Case conversion may be inaccurate. Consider using '#align linear_map.lsmul_apply LinearMap.lsmul_applyₓ'. -/
 @[simp]
 theorem lsmul_apply (r : R) (m : M) : lsmul R M r m = r • m :=
@@ -669,7 +669,7 @@ variable [Module R M] [Module S N] [Module R₂ P] [Module S₂ P]
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_5 : AddCommGroup.{u2} M] [_inst_8 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)] [_inst_12 : NoZeroSMulDivisors.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_5))))) (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8))))] {x : R}, (Ne.{succ u1} R x (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))))))))) -> (Function.Injective.{succ u2, succ u2} M M (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) (fun (_x : LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) => M -> M) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (LinearMap.module.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_8 (LinearMap.lsmul._proof_1.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8))) (fun (_x : LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (LinearMap.module.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_8 (LinearMap.lsmul._proof_1.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8))) => R -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8)) (LinearMap.hasCoeToFun.{u1, u1, u1, u2} R R R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (LinearMap.module.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_8 (LinearMap.lsmul._proof_1.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.lsmul.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8) x)))
 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommRing.{u2} R] [_inst_5 : AddCommGroup.{u1} M] [_inst_8 : Module.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5)] [_inst_12 : NoZeroSMulDivisors.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (Module.toMulActionWithZero.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))] {x : R}, (Ne.{succ u2} R x (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))))) -> (Function.Injective.{succ u1, succ u1} M M (FunLike.coe.{succ u1, succ u1, succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : R) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) x) 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 (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u2, u2, u2, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.addCommMonoid.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : R) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, u1} R R R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.addCommMonoid.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.lsmul.{u2, u1} R (CommRing.toCommSemiring.{u2} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) x)))
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommRing.{u2} R] [_inst_5 : AddCommGroup.{u1} M] [_inst_8 : Module.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5)] [_inst_12 : NoZeroSMulDivisors.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (Module.toMulActionWithZero.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))] {x : R}, (Ne.{succ u2} R x (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))))) -> (Function.Injective.{succ u1, succ u1} M M (FunLike.coe.{succ u1, succ u1, succ u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) x) 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 (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u2, u2, u2, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.addCommMonoid.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, u1} R R R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.addCommMonoid.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.lsmul.{u2, u1} R (CommRing.toCommSemiring.{u2} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) x)))
 Case conversion may be inaccurate. Consider using '#align linear_map.lsmul_injective LinearMap.lsmul_injectiveₓ'. -/
 theorem lsmul_injective [NoZeroSMulDivisors R M] {x : R} (hx : x ≠ 0) :
     Function.Injective (lsmul R M x) :=
@@ -680,7 +680,7 @@ theorem lsmul_injective [NoZeroSMulDivisors R M] {x : R} (hx : x ≠ 0) :
 lean 3 declaration is
   forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_5 : AddCommGroup.{u2} M] [_inst_8 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)] [_inst_12 : NoZeroSMulDivisors.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_5))))) (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8))))] {a : R}, (Ne.{succ u1} R a (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))))))))) -> (Eq.{succ u2} (Submodule.{u1, u2} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8) (LinearMap.ker.{u1, u1, u2, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) (LinearMap.semilinearMapClass.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R 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_inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (LinearMap.module.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_8 (LinearMap.lsmul._proof_1.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8))) (fun (_x : LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (LinearMap.module.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_8 (LinearMap.lsmul._proof_1.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8))) => R -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8)) (LinearMap.hasCoeToFun.{u1, u1, u1, u2} R R R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (LinearMap.module.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_8 (LinearMap.lsmul._proof_1.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.lsmul.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8) a)) (Bot.bot.{u2} (Submodule.{u1, u2} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8) (Submodule.hasBot.{u1, u2} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8)))
 but is expected to have type
-  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommRing.{u2} R] [_inst_5 : AddCommGroup.{u1} M] [_inst_8 : Module.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5)] [_inst_12 : NoZeroSMulDivisors.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (Module.toMulActionWithZero.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))] {a : R}, (Ne.{succ u2} R a (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))))) -> (Eq.{succ u1} (Submodule.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) (LinearMap.ker.{u2, u2, u1, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : R) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) a) (LinearMap.instSemilinearMapClassLinearMap.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u2, u2, u2, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R 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(Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : R) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, u1} R R R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.addCommMonoid.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.lsmul.{u2, u1} R (CommRing.toCommSemiring.{u2} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) a)) (Bot.bot.{u1} (Submodule.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) (Submodule.instBotSubmodule.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8)))
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommRing.{u2} R] [_inst_5 : AddCommGroup.{u1} M] [_inst_8 : Module.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5)] [_inst_12 : NoZeroSMulDivisors.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (Module.toMulActionWithZero.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))] {a : R}, (Ne.{succ u2} R a (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))))) -> (Eq.{succ u1} (Submodule.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) (LinearMap.ker.{u2, u2, u1, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) a) (LinearMap.instSemilinearMapClassLinearMap.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u2, u2, u2, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.addCommMonoid.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : R) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, u1} R R R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.addCommMonoid.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.lsmul.{u2, u1} R (CommRing.toCommSemiring.{u2} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) a)) (Bot.bot.{u1} (Submodule.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) (Submodule.instBotSubmodule.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8)))
 Case conversion may be inaccurate. Consider using '#align linear_map.ker_lsmul LinearMap.ker_lsmulₓ'. -/
 theorem ker_lsmul [NoZeroSMulDivisors R M] {a : R} (ha : a ≠ 0) : (LinearMap.lsmul R M a).ker = ⊥ :=
   LinearMap.ker_eq_bot_of_injective (LinearMap.lsmul_injective ha)

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

@@ -82,7 +82,7 @@ variable (ρ₁₂ σ₁₂)
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] (ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) (σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) (f : M -> N -> P), (forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u7} P (f (HAdd.hAdd.{u5, u5, u5} M M M (instHAdd.{u5} M (AddZeroClass.toHasAdd.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u7, u7, u7} P P P (instHAdd.{u7} P (AddZeroClass.toHasAdd.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)))) (f m₁ n) (f m₂ n))) -> (forall (c : R) (m : M) (n : N), Eq.{succ u7} P (f (SMul.smul.{u1, u5} R M (SMulZeroClass.toHasSmul.{u1, u5} R M (AddZeroClass.toHasZero.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))) (SMulWithZero.toSmulZeroClass.{u1, u5} R M 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_inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) => S -> S₂) (RingHom.hasCoeToFun.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) σ₁₂ c) (f m n))) -> (LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30))
 but is expected to have type
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(AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u3, u7} R₂ P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u3, u7} R₂ P (MonoidWithZero.toZero.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] (ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) (σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) (f : M -> N -> P), (forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u7} P (f (HAdd.hAdd.{u5, u5, u5} M M M (instHAdd.{u5} 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(SMulWithZero.toSMulZeroClass.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => S₂) c) P (MonoidWithZero.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => S₂) c) (Semiring.toMonoidWithZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => S₂) c) _inst_4)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => S₂) c) P (Semiring.toMonoidWithZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => S₂) c) _inst_4) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => S₂) c) P _inst_4 _inst_7 _inst_19))))) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) S (fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => S₂) _x) (MulHomClass.toFunLike.{max u2 u4, u2, u4} (RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) S S₂ (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) (NonUnitalNonAssocSemiring.toMul.{u4} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u4, u2, u4} (RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) S S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u4, u2, u4} (RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4) (RingHom.instRingHomClassRingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4))))) σ₁₂ c) (f m n))) -> (LinearMap.{u1, u3, u5, max u7 u6} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30))
+  forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toSMul.{u4, u7} S₂ P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u4, u7} S₂ P (MonoidWithZero.toZero.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u3, u7} R₂ P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u3, u7} R₂ P (MonoidWithZero.toZero.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] (ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) (σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) (f : M -> N -> P), (forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u7} P (f (HAdd.hAdd.{u5, u5, u5} M M M (instHAdd.{u5} M (AddZeroClass.toAdd.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u7, u7, u7} P P P (instHAdd.{u7} P (AddZeroClass.toAdd.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)))) (f m₁ n) (f m₂ n))) -> (forall (c : R) (m : M) (n : N), Eq.{succ u7} P (f (HSMul.hSMul.{u1, u5, u5} R M M (instHSMul.{u1, u5} R M (SMulZeroClass.toSMul.{u1, u5} R M (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u5} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u5} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)) (Module.toMulActionWithZero.{u1, u5} R M _inst_1 _inst_5 _inst_16))))) c m) n) (HSMul.hSMul.{u3, u7, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R₂) c) P P (instHSMul.{u3, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R₂) c) P (SMulZeroClass.toSMul.{u3, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R₂) c) P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u3, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R₂) c) P (MonoidWithZero.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R₂) c) (Semiring.toMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R₂) c) _inst_3)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u3, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R₂) c) P (Semiring.toMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R₂) c) _inst_3) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u3, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R₂) c) P _inst_3 _inst_7 _inst_18))))) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R₂) _x) (MulHomClass.toFunLike.{max u1 u3, u1, u3} (RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) R R₂ (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u3} R₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R₂ (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u1, u3} (RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) R R₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R₂ (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u1, u3} (RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3) (RingHom.instRingHomClassRingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3))))) ρ₁₂ c) (f m n))) -> (forall (m : M) (n₁ : N) (n₂ : N), Eq.{succ u7} P (f m (HAdd.hAdd.{u6, u6, u6} N N N (instHAdd.{u6} N (AddZeroClass.toAdd.{u6} N (AddMonoid.toAddZeroClass.{u6} N (AddCommMonoid.toAddMonoid.{u6} N _inst_6)))) n₁ n₂)) (HAdd.hAdd.{u7, u7, u7} P P P (instHAdd.{u7} P (AddZeroClass.toAdd.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)))) (f m n₁) (f m n₂))) -> (forall (c : S) (m : M) (n : N), Eq.{succ u7} P (f m (HSMul.hSMul.{u2, u6, u6} S N N (instHSMul.{u2, u6} S N (SMulZeroClass.toSMul.{u2, u6} S N (AddMonoid.toZero.{u6} N (AddCommMonoid.toAddMonoid.{u6} N _inst_6)) (SMulWithZero.toSMulZeroClass.{u2, u6} S N (MonoidWithZero.toZero.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)) (AddMonoid.toZero.{u6} N (AddCommMonoid.toAddMonoid.{u6} N _inst_6)) (MulActionWithZero.toSMulWithZero.{u2, u6} S N (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddMonoid.toZero.{u6} N (AddCommMonoid.toAddMonoid.{u6} N _inst_6)) (Module.toMulActionWithZero.{u2, u6} S N _inst_2 _inst_6 _inst_17))))) c n)) (HSMul.hSMul.{u4, u7, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => S₂) c) P P (instHSMul.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => S₂) c) P (SMulZeroClass.toSMul.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => S₂) c) P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => S₂) c) P (MonoidWithZero.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => S₂) c) (Semiring.toMonoidWithZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => S₂) c) _inst_4)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => S₂) c) P (Semiring.toMonoidWithZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => S₂) c) _inst_4) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => S₂) c) P _inst_4 _inst_7 _inst_19))))) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) S (fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => S₂) _x) (MulHomClass.toFunLike.{max u2 u4, u2, u4} (RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) S S₂ (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) (NonUnitalNonAssocSemiring.toMul.{u4} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u4, u2, u4} (RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) S S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u4, u2, u4} (RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4) (RingHom.instRingHomClassRingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4))))) σ₁₂ c) (f m n))) -> (LinearMap.{u1, u3, u5, max u7 u6} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30))
 Case conversion may be inaccurate. Consider using '#align linear_map.mk₂'ₛₗ LinearMap.mk₂'ₛₗₓ'. -/
 /-- Create a bilinear map from a function that is semilinear in each component.
 See `mk₂'` and `mk₂` for the linear case. -/
@@ -105,7 +105,7 @@ variable {ρ₁₂ σ₁₂}
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} (f : M -> N -> P) {H1 : forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u7} P (f (HAdd.hAdd.{u5, u5, u5} M M M (instHAdd.{u5} M (AddZeroClass.toHasAdd.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u7, u7, u7} P P P (instHAdd.{u7} P (AddZeroClass.toHasAdd.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)))) (f m₁ n) (f m₂ n))} {H2 : forall (c : R) (m : M) (n : N), Eq.{succ u7} P (f (SMul.smul.{u1, u5} R M (SMulZeroClass.toHasSmul.{u1, u5} R M (AddZeroClass.toHasZero.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))) (SMulWithZero.toSmulZeroClass.{u1, u5} R 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 but is expected to have type
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_inst_18 _inst_30) ρ₁₂) (LinearMap.mk₂'ₛₗ.{u5, u2, u4, u1, u6, u3, u7} R _inst_1 S _inst_2 R₂ _inst_3 S₂ _inst_4 M N P _inst_5 _inst_6 _inst_7 _inst_16 _inst_17 _inst_18 _inst_19 _inst_30 ρ₁₂ σ₁₂ f H1 H2 H3 H4) m) n) (f m n)
+  forall {R : Type.{u5}} [_inst_1 : Semiring.{u5} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u4}} [_inst_3 : Semiring.{u4} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u6}} {N : Type.{u3}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u6} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u5, u6} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u4, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u4, u7} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u7} S₂ P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u7} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u7} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u1, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u4, u7} R₂ P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u4, u7} R₂ P (MonoidWithZero.toZero.{u4} R₂ (Semiring.toMonoidWithZero.{u4} R₂ _inst_3)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u4, u7} R₂ P (Semiring.toMonoidWithZero.{u4} R₂ _inst_3) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u4, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u5, u4} R R₂ (Semiring.toNonAssocSemiring.{u5} R _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : M -> N -> P) {H1 : forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u7} P (f (HAdd.hAdd.{u6, u6, u6} M M M 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(fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : S) => S₂) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) S S₂ (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) (NonUnitalNonAssocSemiring.toMul.{u1} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S₂ (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) S S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} S₂ (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)) S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4) (RingHom.instRingHomClassRingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4))))) σ₁₂ c) (f m n))} (m : M) (n : N), Eq.{succ u7} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P) n) (FunLike.coe.{max (succ u3) (succ u7), succ u3, succ u7} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) m) N (fun (_x : N) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u6) (succ u3)) (succ u7), succ u6, max (succ u3) (succ u7)} (LinearMap.{u5, u4, u6, max u7 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u4, u3, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u5, u4, u6, max u3 u7} R R₂ M (LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u4, u3, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) (LinearMap.mk₂'ₛₗ.{u5, u2, u4, u1, u6, u3, u7} R _inst_1 S _inst_2 R₂ _inst_3 S₂ _inst_4 M N P _inst_5 _inst_6 _inst_7 _inst_16 _inst_17 _inst_18 _inst_19 _inst_30 ρ₁₂ σ₁₂ f H1 H2 H3 H4) m) n) (f m n)
 Case conversion may be inaccurate. Consider using '#align linear_map.mk₂'ₛₗ_apply LinearMap.mk₂'ₛₗ_applyₓ'. -/
 @[simp]
 theorem mk₂'ₛₗ_apply (f : M → N → P) {H1 H2 H3 H4} (m : M) (n : N) :
@@ -270,7 +270,7 @@ theorem map_smul₂ (f : M₂ →ₗ[R] N₂ →ₛₗ[σ₁₂] P₂) (r : R) (
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} (f : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (r : R) (x : M) (y : N), Eq.{succ u7} P (coeFn.{max (succ u6) (succ u7), max (succ u6) (succ u7)} (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (fun (_x : LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) => N -> P) (LinearMap.hasCoeToFun.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (coeFn.{max (succ u5) (succ (max u6 u7)), max (succ u5) (succ (max u6 u7))} (LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (fun (_x : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) => M -> (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19)) (LinearMap.hasCoeToFun.{u1, u3, u5, max u6 u7} R R₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f (SMul.smul.{u1, u5} R M (SMulZeroClass.toHasSmul.{u1, u5} R M (AddZeroClass.toHasZero.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))) (SMulWithZero.toSmulZeroClass.{u1, u5} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))) (MulActionWithZero.toSMulWithZero.{u1, u5} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))) (Module.toMulActionWithZero.{u1, u5} R M _inst_1 _inst_5 _inst_16)))) r x)) y) (SMul.smul.{u3, u7} R₂ P (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18)))) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) (fun (_x : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) => R -> R₂) (RingHom.hasCoeToFun.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) ρ₁₂ r) (coeFn.{max (succ u6) (succ u7), max (succ u6) (succ u7)} (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (fun (_x : LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) => N -> P) (LinearMap.hasCoeToFun.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (coeFn.{max (succ u5) (succ (max u6 u7)), max (succ u5) (succ (max u6 u7))} (LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (fun (_x : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) => M -> (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19)) (LinearMap.hasCoeToFun.{u1, u3, u5, max u6 u7} R R₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f x) y))
 but is expected to have type
-  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (f : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) (r : R) (x : M) (y : N), Eq.{succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P) y) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) (HSMul.hSMul.{u7, u5, u5} R M M (instHSMul.{u7, u5} R M (SMulZeroClass.toSMul.{u7, u5} R M (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)) (SMulWithZero.toSMulZeroClass.{u7, u5} R M (MonoidWithZero.toZero.{u7} R (Semiring.toMonoidWithZero.{u7} R _inst_1)) (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)) 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+  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P 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(x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R₂) r) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P) y) (MonoidWithZero.toZero.{u6} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R₂) r) (Semiring.toMonoidWithZero.{u6} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R₂) r) _inst_3)) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P) y) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P) y) _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R₂) r) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P) y) (Semiring.toMonoidWithZero.{u6} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R₂) r) _inst_3) (AddMonoid.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P) y) (AddCommMonoid.toAddMonoid.{u4} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P) y) _inst_7)) (Module.toMulActionWithZero.{u6, u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R₂) r) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P) y) _inst_3 _inst_7 _inst_18))))) (FunLike.coe.{max (succ u7) (succ u6), succ u7, succ u6} (RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : R) => R₂) _x) (MulHomClass.toFunLike.{max u7 u6, u7, u6} (RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)) R R₂ (NonUnitalNonAssocSemiring.toMul.{u7} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u7} R (Semiring.toNonAssocSemiring.{u7} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u6} R₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u6} R₂ (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u7 u6, u7, u6} (RingHom.{u7, u6} R R₂ 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(x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : N) => P) _x) (LinearMap.instFunLikeLinearMap.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) (FunLike.coe.{max (max (succ u5) (succ u3)) (succ u4), succ u5, max (succ u3) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u7, u6, u5, max u3 u4} R R₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) f x) y))
 Case conversion may be inaccurate. Consider using '#align linear_map.map_smulₛₗ₂ LinearMap.map_smulₛₗ₂ₓ'. -/
 theorem map_smulₛₗ₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (r : R) (x y) : f (r • x) y = ρ₁₂ r • f x y :=
   (flip f y).map_smulₛₗ _ _

mathlib commit https://github.com/leanprover-community/mathlib/commit/195fcd60ff2bfe392543bceb0ec2adcdb472db4c

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Mario Carneiro
 
 ! This file was ported from Lean 3 source module linear_algebra.bilinear_map
-! leanprover-community/mathlib commit 87c54600fe3cdc7d32ff5b50873ac724d86aef8d
+! leanprover-community/mathlib commit ee05e9ce1322178f0c12004eb93c00d2c8c00ed2
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -13,6 +13,9 @@ import Mathbin.LinearAlgebra.Basic
 /-!
 # Basics on bilinear maps
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This file provides basics on bilinear maps. The most general form considered are maps that are
 semilinear in both arguments. They are of type `M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P`, where `M` and `N`
 are modules over `R` and `S` respectively, `P` is a module over both `R₂` and `S₂` with

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

@@ -75,6 +75,12 @@ variable {ρ₁₂ : R →+* R₂} {σ₁₂ : S →+* S₂}
 
 variable (ρ₁₂ σ₁₂)
 
+/- warning: linear_map.mk₂'ₛₗ -> LinearMap.mk₂'ₛₗ is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toSMul.{u4, u7} S₂ P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u4, u7} S₂ P (MonoidWithZero.toZero.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u3, u7} R₂ P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u3, u7} R₂ P (MonoidWithZero.toZero.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] (ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) (σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) (f : M -> N -> P), (forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u7} P (f (HAdd.hAdd.{u5, u5, u5} M M M (instHAdd.{u5} M (AddZeroClass.toAdd.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u7, u7, u7} P P P (instHAdd.{u7} P (AddZeroClass.toAdd.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)))) (f m₁ n) (f m₂ n))) -> (forall (c : R) (m : M) (n : N), Eq.{succ u7} P (f (HSMul.hSMul.{u1, u5, u5} R M M (instHSMul.{u1, u5} R M (SMulZeroClass.toSMul.{u1, u5} R M (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u5} R M (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u5} R M (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddMonoid.toZero.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)) (Module.toMulActionWithZero.{u1, u5} R M _inst_1 _inst_5 _inst_16))))) c m) n) (HSMul.hSMul.{u3, u7, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R₂) c) P P (instHSMul.{u3, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R₂) c) P (SMulZeroClass.toSMul.{u3, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R₂) c) P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u3, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R₂) c) P (MonoidWithZero.toZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R₂) c) (Semiring.toMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R₂) c) _inst_3)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u3, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R₂) c) P (Semiring.toMonoidWithZero.{u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R₂) c) _inst_3) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u3, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R₂) c) P _inst_3 _inst_7 _inst_18))))) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : R) => R₂) _x) (MulHomClass.toFunLike.{max u1 u3, u1, u3} (RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) R R₂ (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1))) (NonUnitalNonAssocSemiring.toMul.{u3} R₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R₂ (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u1, u3} (RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) R R₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} R₂ (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u1, u3} (RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)) R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3) (RingHom.instRingHomClassRingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3))))) ρ₁₂ c) (f m n))) -> (forall (m : M) (n₁ : N) (n₂ : N), Eq.{succ u7} P (f m (HAdd.hAdd.{u6, u6, u6} N N N (instHAdd.{u6} N (AddZeroClass.toAdd.{u6} N (AddMonoid.toAddZeroClass.{u6} N (AddCommMonoid.toAddMonoid.{u6} N _inst_6)))) n₁ n₂)) (HAdd.hAdd.{u7, u7, u7} P P P (instHAdd.{u7} P (AddZeroClass.toAdd.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)))) (f m n₁) (f m n₂))) -> (forall (c : S) (m : M) (n : N), Eq.{succ u7} P (f m (HSMul.hSMul.{u2, u6, u6} S N N (instHSMul.{u2, u6} S N (SMulZeroClass.toSMul.{u2, u6} S N (AddMonoid.toZero.{u6} N (AddCommMonoid.toAddMonoid.{u6} N _inst_6)) (SMulWithZero.toSMulZeroClass.{u2, u6} S N (MonoidWithZero.toZero.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)) (AddMonoid.toZero.{u6} N (AddCommMonoid.toAddMonoid.{u6} N _inst_6)) (MulActionWithZero.toSMulWithZero.{u2, u6} S N (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddMonoid.toZero.{u6} N (AddCommMonoid.toAddMonoid.{u6} N _inst_6)) (Module.toMulActionWithZero.{u2, u6} S N _inst_2 _inst_6 _inst_17))))) c n)) (HSMul.hSMul.{u4, u7, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => S₂) c) P P (instHSMul.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => S₂) c) P (SMulZeroClass.toSMul.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => S₂) c) P (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => S₂) c) P (MonoidWithZero.toZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => S₂) c) (Semiring.toMonoidWithZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => S₂) c) _inst_4)) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => S₂) c) P (Semiring.toMonoidWithZero.{u4} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => S₂) c) _inst_4) (AddMonoid.toZero.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)) (Module.toMulActionWithZero.{u4, u7} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => S₂) c) P _inst_4 _inst_7 _inst_19))))) (FunLike.coe.{max (succ u2) (succ u4), succ u2, succ u4} (RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) S (fun (_x : S) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : S) => S₂) _x) (MulHomClass.toFunLike.{max u2 u4, u2, u4} (RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) S S₂ (NonUnitalNonAssocSemiring.toMul.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) (NonUnitalNonAssocSemiring.toMul.{u4} S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u4, u2, u4} (RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) S S₂ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} S₂ (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) (RingHomClass.toNonUnitalRingHomClass.{max u2 u4, u2, u4} (RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)) S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4) (RingHom.instRingHomClassRingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4))))) σ₁₂ c) (f m n))) -> (LinearMap.{u1, u3, u5, max u7 u6} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30))
+Case conversion may be inaccurate. Consider using '#align linear_map.mk₂'ₛₗ LinearMap.mk₂'ₛₗₓ'. -/
 /-- Create a bilinear map from a function that is semilinear in each component.
 See `mk₂'` and `mk₂` for the linear case. -/
 def mk₂'ₛₗ (f : M → N → P) (H1 : ∀ m₁ m₂ n, f (m₁ + m₂) n = f m₁ n + f m₂ n)
@@ -92,6 +98,12 @@ def mk₂'ₛₗ (f : M → N → P) (H1 : ∀ m₁ m₂ n, f (m₁ + m₂) n =
 
 variable {ρ₁₂ σ₁₂}
 
+/- warning: linear_map.mk₂'ₛₗ_apply -> LinearMap.mk₂'ₛₗ_apply is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} (f : M -> N -> P) {H1 : forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u7} P (f (HAdd.hAdd.{u5, u5, u5} M M M (instHAdd.{u5} M (AddZeroClass.toHasAdd.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u7, u7, u7} P P P (instHAdd.{u7} P (AddZeroClass.toHasAdd.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7)))) (f m₁ n) (f m₂ n))} {H2 : forall (c : R) (m : M) (n : N), Eq.{succ u7} P (f (SMul.smul.{u1, u5} R M (SMulZeroClass.toHasSmul.{u1, u5} R M (AddZeroClass.toHasZero.{u5} M (AddMonoid.toAddZeroClass.{u5} M (AddCommMonoid.toAddMonoid.{u5} M _inst_5))) (SMulWithZero.toSmulZeroClass.{u1, u5} R 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+but is expected to have type
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_inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u4, u3, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : M) => LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _x) (LinearMap.instFunLikeLinearMap.{u5, u4, u6, max u3 u7} R R₂ M (LinearMap.{u2, u1, u3, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_1 _inst_3 _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u4, u3, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30) ρ₁₂) (LinearMap.mk₂'ₛₗ.{u5, u2, u4, u1, u6, u3, u7} R _inst_1 S _inst_2 R₂ _inst_3 S₂ _inst_4 M N P _inst_5 _inst_6 _inst_7 _inst_16 _inst_17 _inst_18 _inst_19 _inst_30 ρ₁₂ σ₁₂ f H1 H2 H3 H4) m) n) (f m n)
+Case conversion may be inaccurate. Consider using '#align linear_map.mk₂'ₛₗ_apply LinearMap.mk₂'ₛₗ_applyₓ'. -/
 @[simp]
 theorem mk₂'ₛₗ_apply (f : M → N → P) {H1 H2 H3 H4} (m : M) (n : N) :
     (mk₂'ₛₗ ρ₁₂ σ₁₂ f H1 H2 H3 H4 : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) m n = f m n :=
@@ -100,6 +112,12 @@ theorem mk₂'ₛₗ_apply (f : M → N → P) {H1 H2 H3 H4} (m : M) (n : N) :
 
 variable (R S)
 
+/- warning: linear_map.mk₂' -> LinearMap.mk₂' is a dubious translation:
+lean 3 declaration is
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(f m n))) -> (forall (m : M) (n₁ : N) (n₂ : N), Eq.{succ u5} Pₗ (f m (HAdd.hAdd.{u4, u4, u4} N N N (instHAdd.{u4} N (AddZeroClass.toHasAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_6)))) n₁ n₂)) (HAdd.hAdd.{u5, u5, u5} Pₗ Pₗ Pₗ (instHAdd.{u5} Pₗ (AddZeroClass.toHasAdd.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)))) (f m n₁) (f m n₂))) -> (forall (c : S) (m : M) (n : N), Eq.{succ u5} Pₗ (f m (SMul.smul.{u2, u4} S N (SMulZeroClass.toHasSmul.{u2, u4} S N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_6))) (SMulWithZero.toSmulZeroClass.{u2, u4} S N (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_6))) (MulActionWithZero.toSMulWithZero.{u2, u4} S N 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m n))) -> (LinearMap.{u1, u1, u3, max u4 u5} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M (LinearMap.{u2, u2, u4, u5} S S _inst_2 _inst_2 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) _inst_5 (LinearMap.addCommMonoid.{u2, u2, u4, u5} S S N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) _inst_16 (LinearMap.module.{u2, u2, u1, u4, u5} S S R N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) _inst_1 _inst_24 _inst_31))
+but is expected to have type
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_inst_2 _inst_12 _inst_25)))) (SMulZeroClass.toSMul.{u1, u5} R Pₗ (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (SMulWithZero.toSMulZeroClass.{u1, u5} R Pₗ (MonoidWithZero.toZero.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (MulActionWithZero.toSMulWithZero.{u1, u5} R Pₗ (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (Module.toMulActionWithZero.{u1, u5} R Pₗ _inst_1 _inst_12 _inst_24))))] (f : M -> N -> Pₗ), (forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u5} Pₗ (f (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u5, u5, u5} Pₗ Pₗ Pₗ (instHAdd.{u5} Pₗ (AddZeroClass.toAdd.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)))) (f m₁ n) (f m₂ n))) -> (forall (c : R) 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(AddMonoid.toZero.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_6)) (MulActionWithZero.toSMulWithZero.{u2, u4} S N (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddMonoid.toZero.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_6)) (Module.toMulActionWithZero.{u2, u4} S N _inst_2 _inst_6 _inst_17))))) c n)) (HSMul.hSMul.{u2, u5, u5} S Pₗ Pₗ (instHSMul.{u2, u5} S Pₗ (SMulZeroClass.toSMul.{u2, u5} S Pₗ (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (SMulWithZero.toSMulZeroClass.{u2, u5} S Pₗ (MonoidWithZero.toZero.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (MulActionWithZero.toSMulWithZero.{u2, u5} S Pₗ (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddMonoid.toZero.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)) (Module.toMulActionWithZero.{u2, u5} S Pₗ _inst_2 _inst_12 _inst_25))))) c (f m n))) -> (LinearMap.{u1, u1, u3, max u5 u4} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M (LinearMap.{u2, u2, u4, u5} S S _inst_2 _inst_2 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) _inst_5 (LinearMap.addCommMonoid.{u2, u2, u4, u5} S S N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u1, u4, u5} S S R N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) _inst_1 _inst_24 _inst_31))
+Case conversion may be inaccurate. Consider using '#align linear_map.mk₂' LinearMap.mk₂'ₓ'. -/
 /-- Create a bilinear map from a function that is linear in each component.
 See `mk₂` for the special case where both arguments come from modules over the same ring. -/
 def mk₂' (f : M → N → Pₗ) (H1 : ∀ m₁ m₂ n, f (m₁ + m₂) n = f m₁ n + f m₂ n)
@@ -111,16 +129,34 @@ def mk₂' (f : M → N → Pₗ) (H1 : ∀ m₁ m₂ n, f (m₁ + m₂) n = f m
 
 variable {R S}
 
+/- warning: linear_map.mk₂'_apply -> LinearMap.mk₂'_apply is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {M : Type.{u3}} {N : Type.{u4}} {Pₗ : Type.{u5}} [_inst_5 : AddCommMonoid.{u3} M] [_inst_6 : AddCommMonoid.{u4} N] [_inst_12 : AddCommMonoid.{u5} Pₗ] [_inst_16 : Module.{u1, u3} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u4} S N _inst_2 _inst_6] [_inst_24 : Module.{u1, u5} R Pₗ _inst_1 _inst_12] [_inst_25 : Module.{u2, u5} S Pₗ _inst_2 _inst_12] [_inst_31 : SMulCommClass.{u2, u1, u5} S R Pₗ (SMulZeroClass.toHasSmul.{u2, u5} S Pₗ (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (SMulWithZero.toSmulZeroClass.{u2, u5} S Pₗ (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)))) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (MulActionWithZero.toSMulWithZero.{u2, u5} S Pₗ (Semiring.toMonoidWithZero.{u2} S _inst_2) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (Module.toMulActionWithZero.{u2, u5} S Pₗ _inst_2 _inst_12 _inst_25)))) (SMulZeroClass.toHasSmul.{u1, u5} R Pₗ (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (SMulWithZero.toSmulZeroClass.{u1, u5} R Pₗ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R _inst_1)))) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (MulActionWithZero.toSMulWithZero.{u1, u5} R Pₗ (Semiring.toMonoidWithZero.{u1} R _inst_1) (AddZeroClass.toHasZero.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12))) (Module.toMulActionWithZero.{u1, u5} R Pₗ _inst_1 _inst_12 _inst_24))))] (f : M -> N -> Pₗ) {H1 : forall (m₁ : M) (m₂ : M) (n : N), Eq.{succ u5} Pₗ (f (HAdd.hAdd.{u3, u3, u3} M M M (instHAdd.{u3} M (AddZeroClass.toHasAdd.{u3} M (AddMonoid.toAddZeroClass.{u3} M (AddCommMonoid.toAddMonoid.{u3} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u5, u5, u5} Pₗ Pₗ Pₗ (instHAdd.{u5} Pₗ (AddZeroClass.toHasAdd.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)))) (f m₁ n) (f m₂ n))} {H2 : forall (c : R) (m : M) (n : N), Eq.{succ u5} Pₗ (f (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_5))) (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_5))) (MulActionWithZero.toSMulWithZero.{u1, u3} R M 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(f m n))} {H3 : forall (m : M) (n₁ : N) (n₂ : N), Eq.{succ u5} Pₗ (f m (HAdd.hAdd.{u4, u4, u4} N N N (instHAdd.{u4} N (AddZeroClass.toHasAdd.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_6)))) n₁ n₂)) (HAdd.hAdd.{u5, u5, u5} Pₗ Pₗ Pₗ (instHAdd.{u5} Pₗ (AddZeroClass.toHasAdd.{u5} Pₗ (AddMonoid.toAddZeroClass.{u5} Pₗ (AddCommMonoid.toAddMonoid.{u5} Pₗ _inst_12)))) (f m n₁) (f m n₂))} {H4 : forall (c : S) (m : M) (n : N), Eq.{succ u5} Pₗ (f m (SMul.smul.{u2, u4} S N (SMulZeroClass.toHasSmul.{u2, u4} S N (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_6))) (SMulWithZero.toSmulZeroClass.{u2, u4} S N (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S _inst_2)))) (AddZeroClass.toHasZero.{u4} N (AddMonoid.toAddZeroClass.{u4} N (AddCommMonoid.toAddMonoid.{u4} N _inst_6))) (MulActionWithZero.toSMulWithZero.{u2, u4} 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(f m n))} (m : M) (n : N), Eq.{succ u5} Pₗ (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (LinearMap.{u2, u2, u4, u5} S S _inst_2 _inst_2 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) (fun (_x : LinearMap.{u2, u2, u4, u5} S S _inst_2 _inst_2 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) => N -> Pₗ) (LinearMap.hasCoeToFun.{u2, u2, u4, u5} S S N Pₗ _inst_2 _inst_2 _inst_6 _inst_12 _inst_17 _inst_25 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2))) (coeFn.{max (succ u3) (succ (max u4 u5)), max (succ u3) (succ (max u4 u5))} (LinearMap.{u1, u1, u3, max u4 u5} R R _inst_1 _inst_1 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R _inst_1)) M (LinearMap.{u2, u2, u4, u5} S S _inst_2 _inst_2 (RingHom.id.{u2} S (Semiring.toNonAssocSemiring.{u2} S _inst_2)) N Pₗ _inst_6 _inst_12 _inst_17 _inst_25) _inst_5 (LinearMap.addCommMonoid.{u2, u2, u4, u5} S 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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align linear_map.mk₂'_apply LinearMap.mk₂'_applyₓ'. -/
 @[simp]
 theorem mk₂'_apply (f : M → N → Pₗ) {H1 H2 H3 H4} (m : M) (n : N) :
     (mk₂' R S f H1 H2 H3 H4 : M →ₗ[R] N →ₗ[S] Pₗ) m n = f m n :=
   rfl
 #align linear_map.mk₂'_apply LinearMap.mk₂'_apply
 
+/- warning: linear_map.ext₂ -> LinearMap.ext₂ is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align linear_map.ext₂ LinearMap.ext₂ₓ'. -/
 theorem ext₂ {f g : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P} (H : ∀ m n, f m n = g m n) : f = g :=
   LinearMap.ext fun m => LinearMap.ext fun n => H m n
 #align linear_map.ext₂ LinearMap.ext₂
 
+/- warning: linear_map.congr_fun₂ -> LinearMap.congr_fun₂ is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align linear_map.congr_fun₂ LinearMap.congr_fun₂ₓ'. -/
 theorem congr_fun₂ {f g : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P} (h : f = g) (x y) : f x y = g x y :=
   LinearMap.congr_fun (LinearMap.congr_fun h x) y
 #align linear_map.congr_fun₂ LinearMap.congr_fun₂
@@ -129,6 +165,7 @@ section
 
 attribute [local instance] SMulCommClass.symm
 
+#print LinearMap.flip /-
 /-- Given a linear map from `M` to linear maps from `N` to `P`, i.e., a bilinear map from `M × N` to
 `P`, change the order of variables and get a linear map from `N` to linear maps from `M` to `P`. -/
 def flip (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) : N →ₛₗ[σ₁₂] M →ₛₗ[ρ₁₂] P :=
@@ -136,14 +173,27 @@ def flip (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) : N →ₛₗ[σ₁
     (fun c n m => (f m).map_smulₛₗ _ _) (fun n m₁ m₂ => by rw [f.map_add] <;> rfl) fun c n m => by
     rw [f.map_smulₛₗ] <;> rfl
 #align linear_map.flip LinearMap.flip
+-/
 
 end
 
+/- warning: linear_map.flip_apply -> LinearMap.flip_apply is a dubious translation:
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u1, u5, u4} R R₂ S₂ M P _inst_1 _inst_3 _inst_5 _inst_7 _inst_16 _inst_18 ρ₁₂ _inst_4 _inst_19 (SMulCommClass.symm.{u4, u6, u1} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} 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+Case conversion may be inaccurate. Consider using '#align linear_map.flip_apply LinearMap.flip_applyₓ'. -/
 @[simp]
 theorem flip_apply (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (m : M) (n : N) : flip f n m = f m n :=
   rfl
 #align linear_map.flip_apply LinearMap.flip_apply
 
+/- warning: linear_map.flip_flip -> LinearMap.flip_flip is a dubious translation:
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_inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)), Eq.{max (succ u5) (succ (max u6 u7))} (LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 (LinearMap.flip._proof_1.{u4, u3, u7} S₂ _inst_4 R₂ _inst_3 P _inst_7 _inst_19 _inst_18 _inst_34))) (LinearMap.flip.{u2, u1, u4, u3, u6, u5, u7} S _inst_2 R _inst_1 S₂ _inst_4 R₂ _inst_3 N M P _inst_6 _inst_5 _inst_7 _inst_17 _inst_16 _inst_19 _inst_18 _inst_34 σ₁₂ ρ₁₂ (LinearMap.flip.{u1, u2, u3, u4, u5, u6, u7} R _inst_1 S _inst_2 R₂ _inst_3 S₂ _inst_4 M N P _inst_5 _inst_6 _inst_7 _inst_16 _inst_17 _inst_18 _inst_19 _inst_30 ρ₁₂ σ₁₂ f)) f
+but is expected to have type
+  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u7, u6} R R₂ (Semiring.toNonAssocSemiring.{u7} R _inst_1) (Semiring.toNonAssocSemiring.{u6} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u1} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u1} S₂ _inst_4)} (_inst_34 : LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)), Eq.{max (max (succ u5) (succ u3)) (succ u4)} (LinearMap.{u7, u6, u5, max u4 u3} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u1, u3, u4} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u1, u3, u4} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u1, u6, u3, u4} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 (SMulCommClass.symm.{u4, u1, u6} R₂ S₂ P (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18)))) (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulCommClass.symm.{u4, u6, u1} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18)))) _inst_30)))) (LinearMap.flip.{u2, u7, u1, u6, u3, u5, u4} S _inst_2 R _inst_1 S₂ _inst_4 R₂ _inst_3 N M P _inst_6 _inst_5 _inst_7 _inst_17 _inst_16 _inst_19 _inst_18 (SMulCommClass.symm.{u4, u6, u1} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u1, u4} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toSMul.{u6, u4} R₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u6, u4} R₂ P (MonoidWithZero.toZero.{u6} R₂ (Semiring.toMonoidWithZero.{u6} R₂ _inst_3)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u6, u4} R₂ P (Semiring.toMonoidWithZero.{u6} R₂ _inst_3) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (Module.toMulActionWithZero.{u6, u4} R₂ P _inst_3 _inst_7 _inst_18)))) _inst_30) σ₁₂ ρ₁₂ (LinearMap.flip.{u7, u2, u6, u1, u5, u3, u4} R _inst_1 S _inst_2 R₂ _inst_3 S₂ _inst_4 M N P _inst_5 _inst_6 _inst_7 _inst_16 _inst_17 _inst_18 _inst_19 _inst_30 ρ₁₂ σ₁₂ _inst_34)) _inst_34
+Case conversion may be inaccurate. Consider using '#align linear_map.flip_flip LinearMap.flip_flipₓ'. -/
 @[simp]
 theorem flip_flip [SMulCommClass R₂ S₂ P] (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) : f.flip.flip = f :=
   LinearMap.ext₂ fun x y => (f.flip.flip_apply _ _).trans (f.flip_apply _ _)
@@ -153,39 +203,88 @@ open BigOperators
 
 variable {R}
 
+/- warning: linear_map.flip_inj -> LinearMap.flip_inj is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} [_inst_1 : Semiring.{u1} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u3}} [_inst_3 : Semiring.{u3} R₂] {S₂ : Type.{u4}} [_inst_4 : Semiring.{u4} S₂] {M : Type.{u5}} {N : Type.{u6}} {P : Type.{u7}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u6} N] [_inst_7 : AddCommMonoid.{u7} P] [_inst_16 : Module.{u1, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u6} S N _inst_2 _inst_6] [_inst_18 : Module.{u3, u7} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u4, u7} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u4, u3, u7} S₂ R₂ P (SMulZeroClass.toHasSmul.{u4, u7} S₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u4, u7} S₂ P (MulZeroClass.toHasZero.{u4} S₂ (MulZeroOneClass.toMulZeroClass.{u4} S₂ (MonoidWithZero.toMulZeroOneClass.{u4} S₂ (Semiring.toMonoidWithZero.{u4} S₂ _inst_4)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u4, u7} S₂ P (Semiring.toMonoidWithZero.{u4} S₂ _inst_4) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u4, u7} S₂ P _inst_4 _inst_7 _inst_19)))) (SMulZeroClass.toHasSmul.{u3, u7} R₂ P (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (SMulWithZero.toSmulZeroClass.{u3, u7} R₂ P (MulZeroClass.toHasZero.{u3} R₂ (MulZeroOneClass.toMulZeroClass.{u3} R₂ (MonoidWithZero.toMulZeroOneClass.{u3} R₂ (Semiring.toMonoidWithZero.{u3} R₂ _inst_3)))) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u7} R₂ P (Semiring.toMonoidWithZero.{u3} R₂ _inst_3) (AddZeroClass.toHasZero.{u7} P (AddMonoid.toAddZeroClass.{u7} P (AddCommMonoid.toAddMonoid.{u7} P _inst_7))) (Module.toMulActionWithZero.{u3, u7} R₂ P _inst_3 _inst_7 _inst_18))))] {ρ₁₂ : RingHom.{u1, u3} R R₂ (Semiring.toNonAssocSemiring.{u1} R _inst_1) (Semiring.toNonAssocSemiring.{u3} R₂ _inst_3)} {σ₁₂ : RingHom.{u2, u4} S S₂ (Semiring.toNonAssocSemiring.{u2} S _inst_2) (Semiring.toNonAssocSemiring.{u4} S₂ _inst_4)} {f : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)} {g : LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)}, (Eq.{max (succ u6) (succ (max u5 u7))} (LinearMap.{u2, u4, u6, max u5 u7} S S₂ _inst_2 _inst_4 σ₁₂ N (LinearMap.{u1, u3, u5, u7} R R₂ _inst_1 _inst_3 ρ₁₂ M P _inst_5 _inst_7 _inst_16 _inst_18) _inst_6 (LinearMap.addCommMonoid.{u1, u3, u5, u7} R R₂ M P _inst_1 _inst_3 _inst_5 _inst_7 _inst_16 _inst_18 ρ₁₂) _inst_17 (LinearMap.module.{u1, u3, u4, u5, u7} R R₂ S₂ M P _inst_1 _inst_3 _inst_5 _inst_7 _inst_16 _inst_18 ρ₁₂ _inst_4 _inst_19 (LinearMap.flip._proof_1.{u3, u4, u7} R₂ _inst_3 S₂ _inst_4 P _inst_7 _inst_18 _inst_19 _inst_30))) (LinearMap.flip.{u1, u2, u3, u4, u5, u6, u7} R _inst_1 S _inst_2 R₂ _inst_3 S₂ _inst_4 M N P _inst_5 _inst_6 _inst_7 _inst_16 _inst_17 _inst_18 _inst_19 _inst_30 ρ₁₂ σ₁₂ f) (LinearMap.flip.{u1, u2, u3, u4, u5, u6, u7} R _inst_1 S _inst_2 R₂ _inst_3 S₂ _inst_4 M N P _inst_5 _inst_6 _inst_7 _inst_16 _inst_17 _inst_18 _inst_19 _inst_30 ρ₁₂ σ₁₂ g)) -> (Eq.{max (succ u5) (succ (max u6 u7))} (LinearMap.{u1, u3, u5, max u6 u7} R R₂ _inst_1 _inst_3 ρ₁₂ M (LinearMap.{u2, u4, u6, u7} S S₂ _inst_2 _inst_4 σ₁₂ N P _inst_6 _inst_7 _inst_17 _inst_19) _inst_5 (LinearMap.addCommMonoid.{u2, u4, u6, u7} S S₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂) _inst_16 (LinearMap.module.{u2, u4, u3, u6, u7} S S₂ R₂ N P _inst_2 _inst_4 _inst_6 _inst_7 _inst_17 _inst_19 σ₁₂ _inst_3 _inst_18 _inst_30)) f g)
+but is expected to have type
+  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {M : Type.{u5}} {N : Type.{u3}} {P : Type.{u4}} [_inst_5 : AddCommMonoid.{u5} M] [_inst_6 : AddCommMonoid.{u3} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_16 : Module.{u7, u5} R M _inst_1 _inst_5] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_18 : Module.{u6, u4} R₂ P _inst_3 _inst_7] [_inst_19 : Module.{u1, u4} S₂ P _inst_4 _inst_7] [_inst_30 : SMulCommClass.{u1, u6, u4} S₂ R₂ P (SMulZeroClass.toSMul.{u1, u4} S₂ P (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (SMulWithZero.toSMulZeroClass.{u1, u4} S₂ P (MonoidWithZero.toZero.{u1} S₂ (Semiring.toMonoidWithZero.{u1} S₂ _inst_4)) (AddMonoid.toZero.{u4} P (AddCommMonoid.toAddMonoid.{u4} P _inst_7)) (MulActionWithZero.toSMulWithZero.{u1, u4} S₂ P (Semiring.toMonoidWithZero.{u1} S₂ _inst_4) (AddMonoid.toZero.{u4} P 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+Case conversion may be inaccurate. Consider using '#align linear_map.flip_inj LinearMap.flip_injₓ'. -/
 theorem flip_inj {f g : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P} (H : flip f = flip g) : f = g :=
   ext₂ fun m n => show flip f n m = flip g n m by rw [H]
 #align linear_map.flip_inj LinearMap.flip_inj
 
+/- warning: linear_map.map_zero₂ -> LinearMap.map_zero₂ is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align linear_map.map_zero₂ LinearMap.map_zero₂ₓ'. -/
 theorem map_zero₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (y) : f 0 y = 0 :=
   (flip f y).map_zero
 #align linear_map.map_zero₂ LinearMap.map_zero₂
 
+/- warning: linear_map.map_neg₂ -> LinearMap.map_neg₂ is a dubious translation:
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align linear_map.map_neg₂ LinearMap.map_neg₂ₓ'. -/
 theorem map_neg₂ (f : M' →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P') (x y) : f (-x) y = -f x y :=
   (flip f y).map_neg _
 #align linear_map.map_neg₂ LinearMap.map_neg₂
 
+/- warning: linear_map.map_sub₂ -> LinearMap.map_sub₂ is a dubious translation:
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+  forall {R : Type.{u7}} [_inst_1 : Semiring.{u7} R] {S : Type.{u2}} [_inst_2 : Semiring.{u2} S] {R₂ : Type.{u6}} [_inst_3 : Semiring.{u6} R₂] {S₂ : Type.{u1}} [_inst_4 : Semiring.{u1} S₂] {N : Type.{u3}} {M' : Type.{u5}} {P' : Type.{u4}} [_inst_6 : AddCommMonoid.{u3} N] [_inst_13 : AddCommGroup.{u5} M'] [_inst_15 : AddCommGroup.{u4} P'] [_inst_17 : Module.{u2, u3} S N _inst_2 _inst_6] [_inst_26 : Module.{u7, u5} R M' _inst_1 (AddCommGroup.toAddCommMonoid.{u5} M' _inst_13)] [_inst_28 : Module.{u6, u4} R₂ P' _inst_3 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15)] [_inst_29 : Module.{u1, u4} S₂ P' _inst_4 (AddCommGroup.toAddCommMonoid.{u4} P' _inst_15)] [_inst_32 : SMulCommClass.{u1, u6, u4} S₂ R₂ P' (SMulZeroClass.toSMul.{u1, u4} S₂ P' (NegZeroClass.toZero.{u4} P' (SubNegZeroMonoid.toNegZeroClass.{u4} P' (SubtractionMonoid.toSubNegZeroMonoid.{u4} P' (SubtractionCommMonoid.toSubtractionMonoid.{u4} P' (AddCommGroup.toDivisionAddCommMonoid.{u4} P' _inst_15))))) 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+Case conversion may be inaccurate. Consider using '#align linear_map.map_sub₂ LinearMap.map_sub₂ₓ'. -/
 theorem map_sub₂ (f : M' →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P') (x y z) : f (x - y) z = f x z - f y z :=
   (flip f z).map_sub _ _
 #align linear_map.map_sub₂ LinearMap.map_sub₂
 
+/- warning: linear_map.map_add₂ -> LinearMap.map_add₂ is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align linear_map.map_add₂ LinearMap.map_add₂ₓ'. -/
 theorem map_add₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (x₁ x₂ y) : f (x₁ + x₂) y = f x₁ y + f x₂ y :=
   (flip f y).map_add _ _
 #align linear_map.map_add₂ LinearMap.map_add₂
 
+/- warning: linear_map.map_smul₂ -> LinearMap.map_smul₂ is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align linear_map.map_smul₂ LinearMap.map_smul₂ₓ'. -/
 theorem map_smul₂ (f : M₂ →ₗ[R] N₂ →ₛₗ[σ₁₂] P₂) (r : R) (x y) : f (r • x) y = r • f x y :=
   (flip f y).map_smul _ _
 #align linear_map.map_smul₂ LinearMap.map_smul₂
 
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+Case conversion may be inaccurate. Consider using '#align linear_map.map_smulₛₗ₂ LinearMap.map_smulₛₗ₂ₓ'. -/
 theorem map_smulₛₗ₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (r : R) (x y) : f (r • x) y = ρ₁₂ r • f x y :=
   (flip f y).map_smulₛₗ _ _
 #align linear_map.map_smulₛₗ₂ LinearMap.map_smulₛₗ₂
 
+/- warning: linear_map.map_sum₂ -> LinearMap.map_sum₂ is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align linear_map.map_sum₂ LinearMap.map_sum₂ₓ'. -/
 theorem map_sum₂ {ι : Type _} (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (t : Finset ι) (x : ι → M) (y) :
     f (∑ i in t, x i) y = ∑ i in t, f (x i) y :=
   (flip f y).map_sum
 #align linear_map.map_sum₂ LinearMap.map_sum₂
 
+#print LinearMap.domRestrict₂ /-
 /-- Restricting a bilinear map in the second entry -/
 def domRestrict₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (q : Submodule S N) : M →ₛₗ[ρ₁₂] q →ₛₗ[σ₁₂] P
     where
@@ -194,18 +293,33 @@ def domRestrict₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (q : Subm
   map_smul' c m :=
     LinearMap.ext fun _ => by simp only [f.map_smulₛₗ, dom_restrict_apply, smul_apply]
 #align linear_map.dom_restrict₂ LinearMap.domRestrict₂
+-/
 
+/- warning: linear_map.dom_restrict₂_apply -> LinearMap.domRestrict₂_apply is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align linear_map.dom_restrict₂_apply LinearMap.domRestrict₂_applyₓ'. -/
 theorem domRestrict₂_apply (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (q : Submodule S N) (x : M) (y : q) :
     f.domRestrict₂ q x y = f x y :=
   rfl
 #align linear_map.dom_restrict₂_apply LinearMap.domRestrict₂_apply
 
+#print LinearMap.domRestrict₁₂ /-
 /-- Restricting a bilinear map in both components -/
 def domRestrict₁₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (p : Submodule R M) (q : Submodule S N) :
     p →ₛₗ[ρ₁₂] q →ₛₗ[σ₁₂] P :=
   (f.domRestrict p).domRestrict₂ q
 #align linear_map.dom_restrict₁₂ LinearMap.domRestrict₁₂
+-/
 
+/- warning: linear_map.dom_restrict₁₂_apply -> LinearMap.domRestrict₁₂_apply is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align linear_map.dom_restrict₁₂_apply LinearMap.domRestrict₁₂_applyₓ'. -/
 theorem domRestrict₁₂_apply (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (p : Submodule R M) (q : Submodule S N)
     (x : p) (y : q) : f.domRestrict₁₂ p q x y = f x y :=
   rfl
@@ -241,6 +355,12 @@ variable [RingHomCompTriple σ₁₂ σ₂₃ σ₁₃] [RingHomCompTriple σ₄
 
 variable (R)
 
+/- warning: linear_map.mk₂ -> LinearMap.mk₂ is a dubious translation:
+lean 3 declaration is
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(CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_19)))) c n)) (SMul.smul.{u1, u4} R Pₗ (SMulZeroClass.toHasSmul.{u1, u4} R Pₗ (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (SMulWithZero.toSmulZeroClass.{u1, u4} R Pₗ (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (MulActionWithZero.toSMulWithZero.{u1, u4} R Pₗ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (Module.toMulActionWithZero.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11 _inst_20)))) c (f m n))) -> (LinearMap.{u1, u1, u2, max u3 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_5 (LinearMap.addCommMonoid.{u1, u1, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_14 (LinearMap.module.{u1, u1, u1, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.mk₂._proof_1.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)))
+but is expected to have type
+  forall (R : Type.{u1}) [_inst_1 : CommSemiring.{u1} R] {M : Type.{u2}} {Nₗ : Type.{u3}} {Pₗ : Type.{u4}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_19 : Module.{u1, u3} R Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10] [_inst_20 : Module.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11] (f : M -> Nₗ -> Pₗ), (forall (m₁ : M) (m₂ : M) (n : Nₗ), Eq.{succ u4} Pₗ (f (HAdd.hAdd.{u2, u2, u2} M M M (instHAdd.{u2} M (AddZeroClass.toAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u4, u4, u4} Pₗ Pₗ Pₗ (instHAdd.{u4} Pₗ (AddZeroClass.toAdd.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)))) (f m₁ n) (f m₂ n))) -> (forall (c : R) (m : M) (n : Nₗ), Eq.{succ u4} Pₗ (f (HSMul.hSMul.{u1, u2, u2} R M M (instHSMul.{u1, u2} R M (SMulZeroClass.toSMul.{u1, u2} R M (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_14))))) c m) n) (HSMul.hSMul.{u1, u4, u4} R Pₗ Pₗ (instHSMul.{u1, u4} R Pₗ (SMulZeroClass.toSMul.{u1, u4} R Pₗ (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (SMulWithZero.toSMulZeroClass.{u1, u4} R Pₗ (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (MulActionWithZero.toSMulWithZero.{u1, u4} R Pₗ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11 _inst_20))))) c (f m n))) -> (forall (m : M) (n₁ : Nₗ) (n₂ : Nₗ), Eq.{succ u4} Pₗ (f m (HAdd.hAdd.{u3, u3, u3} Nₗ Nₗ Nₗ (instHAdd.{u3} Nₗ (AddZeroClass.toAdd.{u3} Nₗ (AddMonoid.toAddZeroClass.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10)))) n₁ n₂)) (HAdd.hAdd.{u4, u4, u4} Pₗ Pₗ Pₗ (instHAdd.{u4} Pₗ (AddZeroClass.toAdd.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)))) (f m n₁) (f m n₂))) -> (forall (c : R) (m : M) (n : Nₗ), Eq.{succ u4} Pₗ (f m (HSMul.hSMul.{u1, u3, u3} R Nₗ Nₗ (instHSMul.{u1, u3} R Nₗ (SMulZeroClass.toSMul.{u1, u3} R Nₗ (AddMonoid.toZero.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10)) (SMulWithZero.toSMulZeroClass.{u1, u3} R Nₗ (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10)) (MulActionWithZero.toSMulWithZero.{u1, u3} R Nₗ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10)) (Module.toMulActionWithZero.{u1, u3} R Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_19))))) c n)) (HSMul.hSMul.{u1, u4, u4} R Pₗ Pₗ (instHSMul.{u1, u4} R Pₗ (SMulZeroClass.toSMul.{u1, u4} R Pₗ (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (SMulWithZero.toSMulZeroClass.{u1, u4} R Pₗ (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (MulActionWithZero.toSMulWithZero.{u1, u4} R Pₗ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11 _inst_20))))) c (f m n))) -> (LinearMap.{u1, u1, u2, max u4 u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) _inst_5 (LinearMap.addCommMonoid.{u1, u1, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u1, u1, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (smulCommClass_self.{u1, u4} R Pₗ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u4} R Pₗ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)) (Module.toMulActionWithZero.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11 _inst_20)))))
+Case conversion may be inaccurate. Consider using '#align linear_map.mk₂ LinearMap.mk₂ₓ'. -/
 /-- Create a bilinear map from a function that is linear in each component.
 
 This is a shorthand for `mk₂'` for the common case when `R = S`. -/
@@ -251,6 +371,12 @@ def mk₂ (f : M → Nₗ → Pₗ) (H1 : ∀ m₁ m₂ n, f (m₁ + m₂) n = f
   mk₂' R R f H1 H2 H3 H4
 #align linear_map.mk₂ LinearMap.mk₂
 
+/- warning: linear_map.mk₂_apply -> LinearMap.mk₂_apply is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) [_inst_1 : CommSemiring.{u1} R] {M : Type.{u2}} {Nₗ : Type.{u3}} {Pₗ : Type.{u4}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_19 : Module.{u1, u3} R Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10] [_inst_20 : Module.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11] (f : M -> Nₗ -> Pₗ) {H1 : forall (m₁ : M) (m₂ : M) (n : Nₗ), Eq.{succ u4} Pₗ (f (HAdd.hAdd.{u2, u2, u2} M M M (instHAdd.{u2} M (AddZeroClass.toHasAdd.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)))) m₁ m₂) n) (HAdd.hAdd.{u4, u4, u4} Pₗ Pₗ Pₗ (instHAdd.{u4} Pₗ (AddZeroClass.toHasAdd.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11)))) (f m₁ n) (f m₂ n))} {H2 : forall (c : R) (m : M) (n : Nₗ), Eq.{succ u4} Pₗ (f (SMul.smul.{u1, u2} R M 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+Case conversion may be inaccurate. Consider using '#align linear_map.mk₂_apply LinearMap.mk₂_applyₓ'. -/
 @[simp]
 theorem mk₂_apply (f : M → Nₗ → Pₗ) {H1 H2 H3 H4} (m : M) (n : Nₗ) :
     (mk₂ R f H1 H2 H3 H4 : M →ₗ[R] Nₗ →ₗ[R] Pₗ) m n = f m n :=
@@ -259,6 +385,7 @@ theorem mk₂_apply (f : M → Nₗ → Pₗ) {H1 H2 H3 H4} (m : M) (n : Nₗ) :
 
 variable (R M N P)
 
+#print LinearMap.lflip /-
 /-- Given a linear map from `M` to linear maps from `N` to `P`, i.e., a bilinear map `M → N → P`,
 change the order of variables and get a linear map from `N` to linear maps from `M` to `P`. -/
 def lflip : (M →ₛₗ[σ₁₃] N →ₛₗ[σ₂₃] P) →ₗ[R₃] N →ₛₗ[σ₂₃] M →ₛₗ[σ₁₃] P
@@ -267,11 +394,18 @@ def lflip : (M →ₛₗ[σ₁₃] N →ₛₗ[σ₂₃] P) →ₗ[R₃] N →
   map_add' _ _ := rfl
   map_smul' _ _ := rfl
 #align linear_map.lflip LinearMap.lflip
+-/
 
 variable {R M N P}
 
 variable (f : M →ₛₗ[σ₁₃] N →ₛₗ[σ₂₃] P)
 
+/- warning: linear_map.lflip_apply -> LinearMap.lflip_apply is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {R₂ : Type.{u2}} [_inst_2 : CommSemiring.{u2} R₂] {R₃ : Type.{u3}} [_inst_3 : CommSemiring.{u3} R₃] {M : Type.{u4}} {N : Type.{u5}} {P : Type.{u6}} [_inst_5 : AddCommMonoid.{u4} M] [_inst_6 : AddCommMonoid.{u5} N] [_inst_7 : AddCommMonoid.{u6} P] [_inst_14 : Module.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_15 : Module.{u2, u5} R₂ N (CommSemiring.toSemiring.{u2} R₂ _inst_2) _inst_6] [_inst_16 : Module.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7] {σ₂₃ : RingHom.{u2, u3} R₂ R₃ (Semiring.toNonAssocSemiring.{u2} R₂ (CommSemiring.toSemiring.{u2} R₂ _inst_2)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} {σ₁₃ : RingHom.{u1, u3} R R₃ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} (f : LinearMap.{u1, u3, u4, max u5 u6} R R₃ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M (LinearMap.{u2, u3, u5, u6} R₂ R₃ (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) _inst_5 (LinearMap.addCommMonoid.{u2, u3, u5, u6} R₂ R₃ N P (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) _inst_14 (LinearMap.module.{u2, u3, u3, u5, u6} R₂ R₃ R₃ N P (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_16 (smulCommClass_self.{u3, u6} R₃ P (CommSemiring.toCommMonoid.{u3} R₃ _inst_3) (MulActionWithZero.toMulAction.{u3, u6} R₃ P (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3)) (AddZeroClass.toHasZero.{u6} P (AddMonoid.toAddZeroClass.{u6} P (AddCommMonoid.toAddMonoid.{u6} P _inst_7))) 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+but is expected to have type
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(CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_5 _inst_7 _inst_14 _inst_16 σ₁₃ (MonoidWithZero.toMonoid.{u3} R₃ (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))) (Module.toDistribMulAction.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7 _inst_16) (smulCommClass_self.{u3, u6} R₃ P (CommSemiring.toCommMonoid.{u3} R₃ _inst_3) (MulActionWithZero.toMulAction.{u3, u6} R₃ P (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3)) (AddMonoid.toZero.{u6} P (AddCommMonoid.toAddMonoid.{u6} P _inst_7)) (Module.toMulActionWithZero.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7 _inst_16))) (MonoidWithZero.toMonoid.{u3} R₃ (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))) (Module.toDistribMulAction.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7 _inst_16) (smulCommClass_self.{u3, u6} R₃ P (CommSemiring.toCommMonoid.{u3} R₃ _inst_3) (MulActionWithZero.toMulAction.{u3, u6} R₃ 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(CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) _inst_5 (LinearMap.addCommMonoid.{u1, u3, u2, u6} R₂ R₃ N P (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u3, u3, u2, u6} R₂ R₃ R₃ N P (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_16 (smulCommClass_self.{u3, u6} R₃ P (CommSemiring.toCommMonoid.{u3} R₃ _inst_3) (MulActionWithZero.toMulAction.{u3, u6} R₃ P (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3)) (AddMonoid.toZero.{u6} P (AddCommMonoid.toAddMonoid.{u6} P _inst_7)) (Module.toMulActionWithZero.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7 _inst_16))))) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : LinearMap.{u4, u3, u5, max u6 u2} R R₃ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M (LinearMap.{u1, u3, u2, u6} R₂ R₃ (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) _inst_5 (LinearMap.addCommMonoid.{u1, u3, u2, u6} R₂ R₃ N P (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u3, u3, u2, u6} R₂ R₃ R₃ N P (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_16 (smulCommClass_self.{u3, u6} R₃ P (CommSemiring.toCommMonoid.{u3} R₃ _inst_3) (MulActionWithZero.toMulAction.{u3, u6} R₃ P (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3)) (AddMonoid.toZero.{u6} P (AddCommMonoid.toAddMonoid.{u6} P _inst_7)) (Module.toMulActionWithZero.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7 _inst_16))))) => LinearMap.{u1, u3, u2, max u6 u5} R₂ R₃ (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N (LinearMap.{u4, u3, u5, u6} R R₃ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M P _inst_5 _inst_7 _inst_14 _inst_16) _inst_6 (LinearMap.addCommMonoid.{u4, u3, u5, u6} R R₃ M P (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_5 _inst_7 _inst_14 _inst_16 σ₁₃) _inst_15 (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u3, u3, u5, u6} R R₃ R₃ M P (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_5 _inst_7 _inst_14 _inst_16 σ₁₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_16 (smulCommClass_self.{u3, u6} R₃ P (CommSemiring.toCommMonoid.{u3} R₃ _inst_3) (MulActionWithZero.toMulAction.{u3, u6} R₃ P (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3)) (AddMonoid.toZero.{u6} P (AddCommMonoid.toAddMonoid.{u6} P _inst_7)) (Module.toMulActionWithZero.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7 _inst_16))))) _x) (LinearMap.instFunLikeLinearMap.{u3, u3, max (max u6 u2) u5, max (max u6 u2) u5} R₃ R₃ (LinearMap.{u4, u3, u5, max u6 u2} R R₃ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M (LinearMap.{u1, u3, u2, u6} R₂ R₃ (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) _inst_5 (LinearMap.addCommMonoid.{u1, u3, u2, u6} R₂ R₃ N P (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) _inst_14 (LinearMap.instModuleLinearMapAddCommMonoid.{u1, u3, u3, u2, u6} R₂ R₃ R₃ N P (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_16 (smulCommClass_self.{u3, u6} R₃ P (CommSemiring.toCommMonoid.{u3} R₃ _inst_3) (MulActionWithZero.toMulAction.{u3, u6} R₃ P (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3)) (AddMonoid.toZero.{u6} P (AddCommMonoid.toAddMonoid.{u6} P _inst_7)) (Module.toMulActionWithZero.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7 _inst_16))))) (LinearMap.{u1, u3, u2, max u6 u5} R₂ R₃ (CommSemiring.toSemiring.{u1} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N (LinearMap.{u4, u3, u5, u6} R R₃ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M P _inst_5 _inst_7 _inst_14 _inst_16) _inst_6 (LinearMap.addCommMonoid.{u4, u3, u5, u6} R R₃ M P (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_5 _inst_7 _inst_14 _inst_16 σ₁₃) _inst_15 (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u3, u3, u5, u6} R R₃ R₃ M P (CommSemiring.toSemiring.{u4} R _inst_1) 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+Case conversion may be inaccurate. Consider using '#align linear_map.lflip_apply LinearMap.lflip_applyₓ'. -/
 @[simp]
 theorem lflip_apply (m : M) (n : N) : lflip R M N P f n m = f m n :=
   rfl
@@ -279,34 +413,56 @@ theorem lflip_apply (m : M) (n : N) : lflip R M N P f n m = f m n :=
 
 variable (R Pₗ)
 
+#print LinearMap.lcomp /-
 /-- Composing a linear map `M → N` and a linear map `N → P` to form a linear map `M → P`. -/
 def lcomp (f : M →ₗ[R] Nₗ) : (Nₗ →ₗ[R] Pₗ) →ₗ[R] M →ₗ[R] Pₗ :=
   flip <| LinearMap.comp (flip id) f
 #align linear_map.lcomp LinearMap.lcomp
+-/
 
 variable {R Pₗ}
 
+/- warning: linear_map.lcomp_apply -> LinearMap.lcomp_apply is a dubious translation:
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align linear_map.lcomp_apply LinearMap.lcomp_applyₓ'. -/
 @[simp]
 theorem lcomp_apply (f : M →ₗ[R] Nₗ) (g : Nₗ →ₗ[R] Pₗ) (x : M) : lcomp R Pₗ f g x = g (f x) :=
   rfl
 #align linear_map.lcomp_apply LinearMap.lcomp_apply
 
+/- warning: linear_map.lcomp_apply' -> LinearMap.lcomp_apply' is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align linear_map.lcomp_apply' LinearMap.lcomp_apply'ₓ'. -/
 theorem lcomp_apply' (f : M →ₗ[R] Nₗ) (g : Nₗ →ₗ[R] Pₗ) : lcomp R Pₗ f g = g ∘ₗ f :=
   rfl
 #align linear_map.lcomp_apply' LinearMap.lcomp_apply'
 
 variable (P σ₂₃)
 
+#print LinearMap.lcompₛₗ /-
 /-- Composing a semilinear map `M → N` and a semilinear map `N → P` to form a semilinear map
 `M → P` is itself a linear map. -/
 def lcompₛₗ (f : M →ₛₗ[σ₁₂] N) : (N →ₛₗ[σ₂₃] P) →ₗ[R₃] M →ₛₗ[σ₁₃] P :=
   flip <| LinearMap.comp (flip id) f
 #align linear_map.lcompₛₗ LinearMap.lcompₛₗ
+-/
 
 variable {P σ₂₃}
 
 include σ₁₃
 
+/- warning: linear_map.lcompₛₗ_apply -> LinearMap.lcompₛₗ_apply is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align linear_map.lcompₛₗ_apply LinearMap.lcompₛₗ_applyₓ'. -/
 @[simp]
 theorem lcompₛₗ_apply (f : M →ₛₗ[σ₁₂] N) (g : N →ₛₗ[σ₂₃] P) (x : M) :
     lcompₛₗ P σ₂₃ f g x = g (f x) :=
@@ -317,6 +473,7 @@ omit σ₁₃
 
 variable (R M Nₗ Pₗ)
 
+#print LinearMap.llcomp /-
 /-- Composing a linear map `M → N` and a linear map `N → P` to form a linear map `M → P`. -/
 def llcomp : (Nₗ →ₗ[R] Pₗ) →ₗ[R] (M →ₗ[R] Nₗ) →ₗ[R] M →ₗ[R] Pₗ :=
   flip
@@ -324,31 +481,52 @@ def llcomp : (Nₗ →ₗ[R] Pₗ) →ₗ[R] (M →ₗ[R] Nₗ) →ₗ[R] M →
       map_add' := fun f f' => ext₂ fun g x => g.map_add _ _
       map_smul' := fun (c : R) f => ext₂ fun g x => g.map_smul _ _ }
 #align linear_map.llcomp LinearMap.llcomp
+-/
 
 variable {R M Nₗ Pₗ}
 
 section
 
+/- warning: linear_map.llcomp_apply -> LinearMap.llcomp_apply is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {M : Type.{u2}} {Nₗ : Type.{u3}} {Pₗ : Type.{u4}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_19 : Module.{u1, u3} R Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10] [_inst_20 : Module.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11] (f : LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (g : LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (x : M), Eq.{succ u4} 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(Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u2, u3} R R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_19 (LinearMap.llcomp._proof_1.{u1, u3} R _inst_1 Nₗ _inst_10 _inst_19)) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)) (LinearMap.llcomp._proof_4.{u1, u4, u2} R _inst_1 M Pₗ _inst_5 _inst_11 _inst_14 _inst_20))) => (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) -> (LinearMap.{u1, u1, max u2 u3, max u2 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u1, u1, u2, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u2, u3} R R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_19 (LinearMap.llcomp._proof_1.{u1, u3} R _inst_1 Nₗ _inst_10 _inst_19)) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (LinearMap.llcomp._proof_2.{u1, u4} R _inst_1 Pₗ _inst_11 _inst_20)))) (LinearMap.hasCoeToFun.{u1, u1, max u3 u4, max (max u2 u3) u2 u4} R R (LinearMap.{u1, u1, u3, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R 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(Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_20 (smulCommClass_self.{u4, u2} R Pₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u2} R Pₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u2} Pₗ (AddCommMonoid.toAddMonoid.{u2} Pₗ _inst_11)) (Module.toMulActionWithZero.{u4, u2} R Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_11 _inst_20)))) (LinearMap.instSMulCommClassLinearMapInstSMulLinearMapInstSMulLinearMap.{u4, u4, u4, u4, u1, u2} R R R R M Pₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (MonoidWithZero.toMonoid.{u4} R (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (Module.toDistribMulAction.{u4, u2} R Pₗ 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+Case conversion may be inaccurate. Consider using '#align linear_map.llcomp_apply LinearMap.llcomp_applyₓ'. -/
 @[simp]
 theorem llcomp_apply (f : Nₗ →ₗ[R] Pₗ) (g : M →ₗ[R] Nₗ) (x : M) :
     llcomp R M Nₗ Pₗ f g x = f (g x) :=
   rfl
 #align linear_map.llcomp_apply LinearMap.llcomp_apply
 
+/- warning: linear_map.llcomp_apply' -> LinearMap.llcomp_apply' is a dubious translation:
+lean 3 declaration is
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(LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.addCommMonoid.{u1, u1, u2, u4} R R M Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) (LinearMap.module.{u1, u1, u1, u2, u3} R R R M Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_19 (LinearMap.llcomp._proof_1.{u1, u3} R _inst_1 Nₗ _inst_10 _inst_19)) (LinearMap.module.{u1, u1, u1, u2, u4} R R R M Pₗ (CommSemiring.toSemiring.{u1} R 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(CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) -> (LinearMap.{u1, u1, max u2 u3, max u2 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (LinearMap.{u1, u1, u2, u3} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Nₗ _inst_5 _inst_10 _inst_14 _inst_19) (LinearMap.{u1, u1, u2, u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) M Pₗ _inst_5 _inst_11 _inst_14 _inst_20) (LinearMap.addCommMonoid.{u1, u1, u2, u3} R R M Nₗ (CommSemiring.toSemiring.{u1} R 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+but is expected to have type
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_inst_11 _inst_20)))))) (LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) (fun (_x : LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : LinearMap.{u4, u4, u3, u2} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) Nₗ Pₗ _inst_10 _inst_11 _inst_19 _inst_20) => LinearMap.{u4, u4, max u3 u1, max u2 u1} R R (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) 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(CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_11 _inst_14 _inst_20 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u3} R R R M Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_5 _inst_10 _inst_14 _inst_19 (RingHom.id.{u4} R (Semiring.toNonAssocSemiring.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1))) (CommSemiring.toSemiring.{u4} R _inst_1) _inst_19 (smulCommClass_self.{u4, u3} R Nₗ (CommSemiring.toCommMonoid.{u4} R _inst_1) (MulActionWithZero.toMulAction.{u4, u3} R Nₗ (Semiring.toMonoidWithZero.{u4} R (CommSemiring.toSemiring.{u4} R _inst_1)) (AddMonoid.toZero.{u3} Nₗ (AddCommMonoid.toAddMonoid.{u3} Nₗ _inst_10)) (Module.toMulActionWithZero.{u4, u3} R Nₗ (CommSemiring.toSemiring.{u4} R _inst_1) _inst_10 _inst_19)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u4, u4, u4, u1, u2} R R 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+Case conversion may be inaccurate. Consider using '#align linear_map.llcomp_apply' LinearMap.llcomp_apply'ₓ'. -/
 theorem llcomp_apply' (f : Nₗ →ₗ[R] Pₗ) (g : M →ₗ[R] Nₗ) : llcomp R M Nₗ Pₗ f g = f ∘ₗ g :=
   rfl
 #align linear_map.llcomp_apply' LinearMap.llcomp_apply'
 
 end
 
+#print LinearMap.compl₂ /-
 /-- Composing a linear map `Q → N` and a bilinear map `M → N → P` to
 form a bilinear map `M → Q → P`. -/
 def compl₂ (g : Q →ₛₗ[σ₄₂] N) : M →ₛₗ[σ₁₃] Q →ₛₗ[σ₄₃] P :=
   (lcompₛₗ _ _ g).comp f
 #align linear_map.compl₂ LinearMap.compl₂
+-/
 
 include σ₄₃
 
+/- warning: linear_map.compl₂_apply -> LinearMap.compl₂_apply is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {R₂ : Type.{u7}} [_inst_2 : CommSemiring.{u7} R₂] {R₃ : Type.{u3}} [_inst_3 : CommSemiring.{u3} R₃] {R₄ : Type.{u8}} [_inst_4 : CommSemiring.{u8} R₄] {M : Type.{u2}} {N : Type.{u5}} {P : Type.{u4}} {Q : Type.{u6}} [_inst_5 : AddCommMonoid.{u2} M] [_inst_6 : AddCommMonoid.{u5} N] [_inst_7 : AddCommMonoid.{u4} P] [_inst_8 : AddCommMonoid.{u6} Q] [_inst_14 : Module.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_15 : Module.{u7, u5} R₂ N (CommSemiring.toSemiring.{u7} R₂ _inst_2) _inst_6] [_inst_16 : Module.{u3, u4} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7] [_inst_17 : Module.{u8, u6} R₄ Q (CommSemiring.toSemiring.{u8} R₄ _inst_4) _inst_8] {σ₂₃ : RingHom.{u7, u3} R₂ R₃ (Semiring.toNonAssocSemiring.{u7} R₂ (CommSemiring.toSemiring.{u7} R₂ _inst_2)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} {σ₁₃ : RingHom.{u1, u3} R R₃ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} {σ₄₂ : RingHom.{u8, u7} R₄ R₂ (Semiring.toNonAssocSemiring.{u8} R₄ (CommSemiring.toSemiring.{u8} R₄ _inst_4)) (Semiring.toNonAssocSemiring.{u7} R₂ (CommSemiring.toSemiring.{u7} R₂ _inst_2))} {σ₄₃ : RingHom.{u8, u3} R₄ R₃ (Semiring.toNonAssocSemiring.{u8} R₄ (CommSemiring.toSemiring.{u8} R₄ _inst_4)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} [_inst_24 : RingHomCompTriple.{u8, u7, u3} R₄ R₂ R₃ (CommSemiring.toSemiring.{u8} R₄ _inst_4) (CommSemiring.toSemiring.{u7} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₄₂ σ₂₃ σ₄₃] (f : LinearMap.{u1, u3, u2, max u4 u5} R R₃ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M (LinearMap.{u7, u3, u5, u4} R₂ R₃ (CommSemiring.toSemiring.{u7} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) _inst_5 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+Case conversion may be inaccurate. Consider using '#align linear_map.compl₂_apply LinearMap.compl₂_applyₓ'. -/
 @[simp]
 theorem compl₂_apply (g : Q →ₛₗ[σ₄₂] N) (m : M) (q : Q) : f.compl₂ g m q = f m (g q) :=
   rfl
@@ -356,6 +534,12 @@ theorem compl₂_apply (g : Q →ₛₗ[σ₄₂] N) (m : M) (q : Q) : f.compl
 
 omit σ₄₃
 
+/- warning: linear_map.compl₂_id -> LinearMap.compl₂_id is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {R₂ : Type.{u2}} [_inst_2 : CommSemiring.{u2} R₂] {R₃ : Type.{u3}} [_inst_3 : CommSemiring.{u3} R₃] {M : Type.{u4}} {N : Type.{u5}} {P : Type.{u6}} [_inst_5 : AddCommMonoid.{u4} M] [_inst_6 : AddCommMonoid.{u5} N] [_inst_7 : AddCommMonoid.{u6} P] [_inst_14 : Module.{u1, u4} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5] [_inst_15 : Module.{u2, u5} R₂ N (CommSemiring.toSemiring.{u2} R₂ _inst_2) _inst_6] [_inst_16 : Module.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7] {σ₂₃ : RingHom.{u2, u3} R₂ R₃ (Semiring.toNonAssocSemiring.{u2} R₂ (CommSemiring.toSemiring.{u2} R₂ _inst_2)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} {σ₁₃ : RingHom.{u1, u3} R R₃ (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (Semiring.toNonAssocSemiring.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3))} (f : LinearMap.{u1, u3, u4, max u5 u6} R R₃ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M (LinearMap.{u2, u3, u5, u6} R₂ R₃ (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) _inst_5 (LinearMap.addCommMonoid.{u2, u3, u5, u6} R₂ R₃ N P (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) _inst_14 (LinearMap.module.{u2, u3, u3, u5, u6} R₂ R₃ R₃ N P (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_16 (smulCommClass_self.{u3, u6} R₃ P (CommSemiring.toCommMonoid.{u3} R₃ _inst_3) (MulActionWithZero.toMulAction.{u3, u6} R₃ P (Semiring.toMonoidWithZero.{u3} R₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3)) (AddZeroClass.toHasZero.{u6} P (AddMonoid.toAddZeroClass.{u6} P (AddCommMonoid.toAddMonoid.{u6} P _inst_7))) (Module.toMulActionWithZero.{u3, u6} R₃ P (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_7 _inst_16))))), Eq.{max (succ u4) (succ (max u5 u6))} (LinearMap.{u1, u3, u4, max u5 u6} R R₃ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₁₃ M (LinearMap.{u2, u3, u5, u6} R₂ R₃ (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃ N P _inst_6 _inst_7 _inst_15 _inst_16) _inst_5 (LinearMap.addCommMonoid.{u2, u3, u5, u6} R₂ R₃ N P (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃) _inst_14 (LinearMap.module.{u2, u3, u3, u5, u6} R₂ R₃ R₃ N P (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_6 _inst_7 _inst_15 _inst_16 σ₂₃ (CommSemiring.toSemiring.{u3} R₃ _inst_3) _inst_16 (LinearMap.compl₂._proof_2.{u3, u6} R₃ _inst_3 P _inst_7 _inst_16))) (LinearMap.compl₂.{u1, u2, u3, u2, u4, u5, u6, u5} R _inst_1 R₂ _inst_2 R₃ _inst_3 R₂ _inst_2 M N P N _inst_5 _inst_6 _inst_7 _inst_6 _inst_14 _inst_15 _inst_16 _inst_15 σ₂₃ σ₁₃ (RingHom.id.{u2} R₂ (Semiring.toNonAssocSemiring.{u2} R₂ (CommSemiring.toSemiring.{u2} R₂ _inst_2))) σ₂₃ (RingHomCompTriple.ids.{u2, u3} R₂ R₃ (CommSemiring.toSemiring.{u2} R₂ _inst_2) (CommSemiring.toSemiring.{u3} R₃ _inst_3) σ₂₃) f (LinearMap.id.{u2, u5} R₂ N (CommSemiring.toSemiring.{u2} R₂ _inst_2) _inst_6 _inst_15)) f
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align linear_map.compl₂_id LinearMap.compl₂_idₓ'. -/
 @[simp]
 theorem compl₂_id : f.compl₂ LinearMap.id = f :=
   by
@@ -363,19 +547,33 @@ theorem compl₂_id : f.compl₂ LinearMap.id = f :=
   rw [compl₂_apply, id_coe, id.def]
 #align linear_map.compl₂_id LinearMap.compl₂_id
 
+#print LinearMap.compl₁₂ /-
 /-- Composing linear maps `Q → M` and `Q' → N` with a bilinear map `M → N → P` to
 form a bilinear map `Q → Q' → P`. -/
 def compl₁₂ (f : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ) (g : Qₗ →ₗ[R] Mₗ) (g' : Qₗ' →ₗ[R] Nₗ) :
     Qₗ →ₗ[R] Qₗ' →ₗ[R] Pₗ :=
   (f.comp g).compl₂ g'
 #align linear_map.compl₁₂ LinearMap.compl₁₂
+-/
 
+/- warning: linear_map.compl₁₂_apply -> LinearMap.compl₁₂_apply is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} [_inst_1 : CommSemiring.{u1} R] {Mₗ : Type.{u2}} {Nₗ : Type.{u3}} {Pₗ : Type.{u4}} {Qₗ : Type.{u5}} {Qₗ' : Type.{u6}} [_inst_9 : AddCommMonoid.{u2} Mₗ] [_inst_10 : AddCommMonoid.{u3} Nₗ] [_inst_11 : AddCommMonoid.{u4} Pₗ] [_inst_12 : AddCommMonoid.{u5} Qₗ] [_inst_13 : AddCommMonoid.{u6} Qₗ'] [_inst_18 : Module.{u1, u2} R Mₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_9] [_inst_19 : Module.{u1, u3} R Nₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10] [_inst_20 : Module.{u1, u4} R Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_11] [_inst_21 : Module.{u1, u5} R Qₗ (CommSemiring.toSemiring.{u1} R _inst_1) _inst_12] [_inst_22 : Module.{u1, u6} R Qₗ' (CommSemiring.toSemiring.{u1} R _inst_1) _inst_13] (f : LinearMap.{u1, u1, u2, max u3 u4} R R (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) Mₗ (LinearMap.{u1, u1, u3, u4} R R 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+Case conversion may be inaccurate. Consider using '#align linear_map.compl₁₂_apply LinearMap.compl₁₂_applyₓ'. -/
 @[simp]
 theorem compl₁₂_apply (f : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ) (g : Qₗ →ₗ[R] Mₗ) (g' : Qₗ' →ₗ[R] Nₗ) (x : Qₗ)
     (y : Qₗ') : f.compl₁₂ g g' x y = f (g x) (g' y) :=
   rfl
 #align linear_map.compl₁₂_apply LinearMap.compl₁₂_apply
 
+/- warning: linear_map.compl₁₂_id_id -> LinearMap.compl₁₂_id_id is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align linear_map.compl₁₂_id_id LinearMap.compl₁₂_id_idₓ'. -/
 @[simp]
 theorem compl₁₂_id_id (f : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ) : f.compl₁₂ LinearMap.id LinearMap.id = f :=
   by
@@ -383,6 +581,12 @@ theorem compl₁₂_id_id (f : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ) : f.compl₁
   simp_rw [compl₁₂_apply, id_coe, id.def]
 #align linear_map.compl₁₂_id_id LinearMap.compl₁₂_id_id
 
+/- warning: linear_map.compl₁₂_inj -> LinearMap.compl₁₂_inj is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align linear_map.compl₁₂_inj LinearMap.compl₁₂_injₓ'. -/
 theorem compl₁₂_inj {f₁ f₂ : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ} {g : Qₗ →ₗ[R] Mₗ} {g' : Qₗ' →ₗ[R] Nₗ}
     (hₗ : Function.Surjective g) (hᵣ : Function.Surjective g') :
     f₁.compl₁₂ g g' = f₂.compl₁₂ g g' ↔ f₁ = f₂ :=
@@ -399,12 +603,20 @@ theorem compl₁₂_inj {f₁ f₂ : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ} {g : Q
     subst h
 #align linear_map.compl₁₂_inj LinearMap.compl₁₂_inj
 
+#print LinearMap.compr₂ /-
 /-- Composing a linear map `P → Q` and a bilinear map `M → N → P` to
 form a bilinear map `M → N → Q`. -/
 def compr₂ (f : M →ₗ[R] Nₗ →ₗ[R] Pₗ) (g : Pₗ →ₗ[R] Qₗ) : M →ₗ[R] Nₗ →ₗ[R] Qₗ :=
   llcomp R Nₗ Pₗ Qₗ g ∘ₗ f
 #align linear_map.compr₂ LinearMap.compr₂
+-/
 
+/- warning: linear_map.compr₂_apply -> LinearMap.compr₂_apply is a dubious translation:
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_inst_10 _inst_11 _inst_19 _inst_20) _inst_5 (LinearMap.addCommMonoid.{u1, u1, u3, u4} R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)))) _inst_14 (LinearMap.module.{u1, u1, u1, u3, u4} R R R Nₗ Pₗ (CommSemiring.toSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_10 _inst_11 _inst_19 _inst_20 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))) (CommSemiring.toSemiring.{u1} R _inst_1) _inst_20 (smulCommClass_self.{u1, u4} R Pₗ (CommSemiring.toCommMonoid.{u1} R _inst_1) (MulActionWithZero.toMulAction.{u1, u4} R Pₗ (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} Pₗ (AddMonoid.toAddZeroClass.{u4} Pₗ (AddCommMonoid.toAddMonoid.{u4} Pₗ _inst_11))) (Module.toMulActionWithZero.{u1, u4} R Pₗ 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+but is expected to have type
+  forall {R : Type.{u5}} [_inst_1 : CommSemiring.{u5} R] {M : Type.{u4}} {Nₗ : Type.{u2}} {Pₗ : Type.{u3}} {Qₗ : Type.{u1}} [_inst_5 : AddCommMonoid.{u4} M] [_inst_10 : AddCommMonoid.{u2} Nₗ] [_inst_11 : AddCommMonoid.{u3} Pₗ] [_inst_12 : AddCommMonoid.{u1} Qₗ] [_inst_14 : Module.{u5, u4} R M (CommSemiring.toSemiring.{u5} R _inst_1) _inst_5] [_inst_19 : Module.{u5, u2} R Nₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_10] [_inst_20 : Module.{u5, u3} R Pₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_11] [_inst_21 : Module.{u5, u1} R Qₗ (CommSemiring.toSemiring.{u5} R _inst_1) _inst_12] (f : LinearMap.{u5, u5, u4, max u3 u2} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R (CommSemiring.toSemiring.{u5} R _inst_1))) M (LinearMap.{u5, u5, u2, u3} R R (CommSemiring.toSemiring.{u5} R _inst_1) (CommSemiring.toSemiring.{u5} R _inst_1) (RingHom.id.{u5} R (Semiring.toNonAssocSemiring.{u5} R 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+Case conversion may be inaccurate. Consider using '#align linear_map.compr₂_apply LinearMap.compr₂_applyₓ'. -/
 @[simp]
 theorem compr₂_apply (f : M →ₗ[R] Nₗ →ₗ[R] Pₗ) (g : Pₗ →ₗ[R] Qₗ) (m : M) (n : Nₗ) :
     f.compr₂ g m n = g (f m n) :=
@@ -413,14 +625,22 @@ theorem compr₂_apply (f : M →ₗ[R] Nₗ →ₗ[R] Pₗ) (g : Pₗ →ₗ[R]
 
 variable (R M)
 
+#print LinearMap.lsmul /-
 /-- Scalar multiplication as a bilinear map `R → M → M`. -/
 def lsmul : R →ₗ[R] M →ₗ[R] M :=
   mk₂ R (· • ·) add_smul (fun _ _ _ => mul_smul _ _ _) smul_add fun r s m => by
     simp only [smul_smul, smul_eq_mul, mul_comm]
 #align linear_map.lsmul LinearMap.lsmul
+-/
 
 variable {R M}
 
+/- warning: linear_map.lsmul_apply -> LinearMap.lsmul_apply is a dubious translation:
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(AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (SMulWithZero.toSMulZeroClass.{u1, u2} R M (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddMonoid.toZero.{u2} M (AddCommMonoid.toAddMonoid.{u2} M _inst_5)) (Module.toMulActionWithZero.{u1, u2} R M (CommSemiring.toSemiring.{u1} R _inst_1) _inst_5 _inst_14))))) r m)
+Case conversion may be inaccurate. Consider using '#align linear_map.lsmul_apply LinearMap.lsmul_applyₓ'. -/
 @[simp]
 theorem lsmul_apply (r : R) (m : M) : lsmul R M r m = r • m :=
   rfl
@@ -442,11 +662,23 @@ variable [AddCommGroup M] [AddCommGroup N] [AddCommGroup P]
 
 variable [Module R M] [Module S N] [Module R₂ P] [Module S₂ P]
 
+/- warning: linear_map.lsmul_injective -> LinearMap.lsmul_injective is a dubious translation:
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u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R 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(CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8)) (LinearMap.hasCoeToFun.{u1, u1, u1, u2} R R R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R 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_inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_8 (LinearMap.lsmul._proof_1.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.lsmul.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8) x)))
+but is expected to have type
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommRing.{u2} R] [_inst_5 : AddCommGroup.{u1} M] [_inst_8 : Module.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5)] [_inst_12 : NoZeroSMulDivisors.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (Module.toMulActionWithZero.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))] {x : R}, (Ne.{succ u2} R x (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))))) -> 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_inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, u1} R R R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.addCommMonoid.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.lsmul.{u2, u1} R (CommRing.toCommSemiring.{u2} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) x)))
+Case conversion may be inaccurate. Consider using '#align linear_map.lsmul_injective LinearMap.lsmul_injectiveₓ'. -/
 theorem lsmul_injective [NoZeroSMulDivisors R M] {x : R} (hx : x ≠ 0) :
     Function.Injective (lsmul R M x) :=
   smul_right_injective _ hx
 #align linear_map.lsmul_injective LinearMap.lsmul_injective
 
+/- warning: linear_map.ker_lsmul -> LinearMap.ker_lsmul is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {M : Type.{u2}} [_inst_1 : CommRing.{u1} R] [_inst_5 : AddCommGroup.{u2} M] [_inst_8 : Module.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)] [_inst_12 : NoZeroSMulDivisors.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (SubNegMonoid.toAddMonoid.{u2} M (AddGroup.toSubNegMonoid.{u2} M (AddCommGroup.toAddGroup.{u2} M _inst_5))))) (SMulZeroClass.toHasSmul.{u1, u2} R M (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u2} R M (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u2} R M (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (AddZeroClass.toHasZero.{u2} M (AddMonoid.toAddZeroClass.{u2} M (AddCommMonoid.toAddMonoid.{u2} M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5)))) (Module.toMulActionWithZero.{u1, u2} R M (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8))))] {a : R}, (Ne.{succ u1} R a (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1)))))))))) -> (Eq.{succ u2} (Submodule.{u1, u2} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8) (LinearMap.ker.{u1, u1, u2, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) (LinearMap.semilinearMapClass.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (LinearMap.module.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_8 (LinearMap.lsmul._proof_1.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8))) (fun (_x : LinearMap.{u1, u1, u1, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (LinearMap.module.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_8 (LinearMap.lsmul._proof_1.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8))) => R -> (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8)) (LinearMap.hasCoeToFun.{u1, u1, u1, u2} R R R (LinearMap.{u1, u1, u2, u2} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.addCommMonoid.{u1, u1, u2, u2} R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (LinearMap.module.{u1, u1, u1, u2, u2} R R R M M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) _inst_8 (LinearMap.lsmul._proof_1.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8)) (RingHom.id.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (LinearMap.lsmul.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8) a)) (Bot.bot.{u2} (Submodule.{u1, u2} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8) (Submodule.hasBot.{u1, u2} R M (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} M _inst_5) _inst_8)))
+but is expected to have type
+  forall {R : Type.{u2}} {M : Type.{u1}} [_inst_1 : CommRing.{u2} R] [_inst_5 : AddCommGroup.{u1} M] [_inst_8 : Module.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5)] [_inst_12 : NoZeroSMulDivisors.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulZeroClass.toSMul.{u2, u1} R M (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (SMulWithZero.toSMulZeroClass.{u2, u1} R M (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1))) (NegZeroClass.toZero.{u1} M (SubNegZeroMonoid.toNegZeroClass.{u1} M (SubtractionMonoid.toSubNegZeroMonoid.{u1} M (SubtractionCommMonoid.toSubtractionMonoid.{u1} M (AddCommGroup.toDivisionAddCommMonoid.{u1} M _inst_5))))) (Module.toMulActionWithZero.{u2, u1} R M (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))] {a : R}, (Ne.{succ u2} R a (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))))) -> (Eq.{succ u1} (Submodule.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) (LinearMap.ker.{u2, u2, u1, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : R) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) a) (LinearMap.instSemilinearMapClassLinearMap.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u2, u2, u2, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.addCommMonoid.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8))))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6178 : R) => LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u2, u1} R R R (LinearMap.{u2, u2, u1, u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) M M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.addCommMonoid.{u2, u2, u1, u1} R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, u1, u1} R R R M M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8 _inst_8 (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) _inst_8 (smulCommClass_self.{u2, u1} R M (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (MulActionWithZero.toMulAction.{u2, u1} R M (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (AddMonoid.toZero.{u1} M (AddCommMonoid.toAddMonoid.{u1} M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5))) (Module.toMulActionWithZero.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (LinearMap.lsmul.{u2, u1} R (CommRing.toCommSemiring.{u2} R _inst_1) M (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) a)) (Bot.bot.{u1} (Submodule.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8) (Submodule.instBotSubmodule.{u2, u1} R M (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} M _inst_5) _inst_8)))
+Case conversion may be inaccurate. Consider using '#align linear_map.ker_lsmul LinearMap.ker_lsmulₓ'. -/
 theorem ker_lsmul [NoZeroSMulDivisors R M] {a : R} (ha : a ≠ 0) : (LinearMap.lsmul R M a).ker = ⊥ :=
   LinearMap.ker_eq_bot_of_injective (LinearMap.lsmul_injective ha)
 #align linear_map.ker_lsmul LinearMap.ker_lsmul

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

@@ -4,12 +4,11 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Mario Carneiro
 
 ! This file was ported from Lean 3 source module linear_algebra.bilinear_map
-! leanprover-community/mathlib commit 075b3f7d19b9da85a0b54b3e33055a74fc388dec
+! leanprover-community/mathlib commit 87c54600fe3cdc7d32ff5b50873ac724d86aef8d
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
 import Mathbin.LinearAlgebra.Basic
-import Mathbin.LinearAlgebra.Basis
 
 /-!
 # Basics on bilinear maps
@@ -35,8 +34,6 @@ bilinear
 -/
 
 
-variable {ι₁ ι₂ : Type _}
-
 namespace LinearMap
 
 section Semiring
@@ -439,54 +436,6 @@ variable {Mₗ Nₗ Pₗ : Type _}
 
 variable [CommRing R] [CommRing S] [CommRing R₂] [CommRing S₂]
 
-section AddCommMonoid
-
-variable [AddCommMonoid M] [AddCommMonoid N] [AddCommMonoid P]
-
-variable [AddCommMonoid Mₗ] [AddCommMonoid Nₗ] [AddCommMonoid Pₗ]
-
-variable [Module R M] [Module S N] [Module R₂ P] [Module S₂ P]
-
-variable [Module R Mₗ] [Module R Nₗ] [Module R Pₗ]
-
-variable [SMulCommClass S₂ R₂ P]
-
-variable {ρ₁₂ : R →+* R₂} {σ₁₂ : S →+* S₂}
-
-variable (b₁ : Basis ι₁ R M) (b₂ : Basis ι₂ S N) (b₁' : Basis ι₁ R Mₗ) (b₂' : Basis ι₂ R Nₗ)
-
-/-- Two bilinear maps are equal when they are equal on all basis vectors. -/
-theorem ext_basis {B B' : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P} (h : ∀ i j, B (b₁ i) (b₂ j) = B' (b₁ i) (b₂ j)) :
-    B = B' :=
-  b₁.ext fun i => b₂.ext fun j => h i j
-#align linear_map.ext_basis LinearMap.ext_basis
-
-/-- Write out `B x y` as a sum over `B (b i) (b j)` if `b` is a basis.
-
-Version for semi-bilinear maps, see `sum_repr_mul_repr_mul` for the bilinear version. -/
-theorem sum_repr_mul_repr_mulₛₗ {B : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P} (x y) :
-    ((b₁.repr x).Sum fun i xi => (b₂.repr y).Sum fun j yj => ρ₁₂ xi • σ₁₂ yj • B (b₁ i) (b₂ j)) =
-      B x y :=
-  by
-  conv_rhs => rw [← b₁.total_repr x, ← b₂.total_repr y]
-  simp_rw [Finsupp.total_apply, Finsupp.sum, map_sum₂, map_sum, LinearMap.map_smulₛₗ₂,
-    LinearMap.map_smulₛₗ]
-#align linear_map.sum_repr_mul_repr_mulₛₗ LinearMap.sum_repr_mul_repr_mulₛₗ
-
-/-- Write out `B x y` as a sum over `B (b i) (b j)` if `b` is a basis.
-
-Version for bilinear maps, see `sum_repr_mul_repr_mulₛₗ` for the semi-bilinear version. -/
-theorem sum_repr_mul_repr_mul {B : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ} (x y) :
-    ((b₁'.repr x).Sum fun i xi => (b₂'.repr y).Sum fun j yj => xi • yj • B (b₁' i) (b₂' j)) =
-      B x y :=
-  by
-  conv_rhs => rw [← b₁'.total_repr x, ← b₂'.total_repr y]
-  simp_rw [Finsupp.total_apply, Finsupp.sum, map_sum₂, map_sum, LinearMap.map_smul₂,
-    LinearMap.map_smul]
-#align linear_map.sum_repr_mul_repr_mul LinearMap.sum_repr_mul_repr_mul
-
-end AddCommMonoid
-
 section AddCommGroup
 
 variable [AddCommGroup M] [AddCommGroup N] [AddCommGroup P]

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

These are changes from #11997, the latest adaptation PR for nightly-2024-04-07, which can be made directly on master.

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

@@ -341,7 +341,7 @@ theorem compl₂_apply (g : Q →ₛₗ[σ₄₂] N) (m : M) (q : Q) : f.compl
 @[simp]
 theorem compl₂_id : f.compl₂ LinearMap.id = f := by
   ext
-  rw [compl₂_apply, id_coe, id.def]
+  rw [compl₂_apply, id_coe, _root_.id]
 #align linear_map.compl₂_id LinearMap.compl₂_id
 
 /-- Composing linear maps `Q → M` and `Q' → N` with a bilinear map `M → N → P` to
@@ -359,7 +359,7 @@ theorem compl₁₂_apply (f : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ) (g : Qₗ →
 @[simp]
 theorem compl₁₂_id_id (f : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ) : f.compl₁₂ LinearMap.id LinearMap.id = f := by
   ext
-  simp_rw [compl₁₂_apply, id_coe, id.def]
+  simp_rw [compl₁₂_apply, id_coe, _root_.id]
 #align linear_map.compl₁₂_id_id LinearMap.compl₁₂_id_id
 
 theorem compl₁₂_inj {f₁ f₂ : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ} {g : Qₗ →ₗ[R] Mₗ} {g' : Qₗ' →ₗ[R] Nₗ}

As discussed in this thread, there were 3 different definitions for the restriction of a bilinear form to a subspace. This PR deletes the definition Submodule.restrictBilinear, and replaces all its occurrences by the LinearMap.BilinForm.restrict one.

@@ -403,16 +403,9 @@ theorem lsmul_apply (r : R) (m : M) : lsmul R M r m = r • m := rfl
 #align linear_map.lsmul_apply LinearMap.lsmul_apply
 
 variable (R M) in
-/-- For convenience, a shorthand for the type of bilinear forms from `M` to `R`.
-
-This should eventually replace `_root_.BilinForm`. -/
+/-- For convenience, a shorthand for the type of bilinear forms from `M` to `R`. -/
 protected abbrev BilinForm : Type _ := M →ₗ[R] M →ₗ[R] R
 
-/-- The restriction of a bilinear form to a submodule. -/
-abbrev _root_.Submodule.restrictBilinear (p : Submodule R M) (f : LinearMap.BilinForm R M) :
-    LinearMap.BilinForm R p :=
-  f.compl₁₂ p.subtype p.subtype
-
 end CommSemiring
 
 section CommRing

Purely automatic replacement. If this is in any way controversial; I'm happy to just close this PR.

@@ -200,7 +200,7 @@ variable [SMul S' S] [IsScalarTower S' S N] [IsScalarTower S' S Pₗ]
 variable [SMul R' R] [IsScalarTower R' R M] [IsScalarTower R' R Pₗ]
 
 /-- If `B : M → N → Pₗ` is `R`-`S` bilinear and `R'` and `S'` are compatible scalar multiplications,
-then the restriction of scalars is a `R'`-`S'` bilinear map.-/
+then the restriction of scalars is a `R'`-`S'` bilinear map. -/
 @[simps!]
 def restrictScalars₁₂ (B : M →ₗ[R] N →ₗ[S] Pₗ) : M →ₗ[R'] N →ₗ[S'] Pₗ :=
   LinearMap.mk₂' R' S'

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)

@@ -36,39 +36,22 @@ section Semiring
 
 -- the `ₗ` subscript variables are for special cases about linear (as opposed to semilinear) maps
 variable {R : Type*} [Semiring R] {S : Type*} [Semiring S]
-
 variable {R₂ : Type*} [Semiring R₂] {S₂ : Type*} [Semiring S₂]
-
 variable {M : Type*} {N : Type*} {P : Type*}
-
 variable {M₂ : Type*} {N₂ : Type*} {P₂ : Type*}
-
 variable {Nₗ : Type*} {Pₗ : Type*}
-
 variable {M' : Type*} {N' : Type*} {P' : Type*}
-
 variable [AddCommMonoid M] [AddCommMonoid N] [AddCommMonoid P]
-
 variable [AddCommMonoid M₂] [AddCommMonoid N₂] [AddCommMonoid P₂]
-
 variable [AddCommMonoid Nₗ] [AddCommMonoid Pₗ]
-
 variable [AddCommGroup M'] [AddCommGroup N'] [AddCommGroup P']
-
 variable [Module R M] [Module S N] [Module R₂ P] [Module S₂ P]
-
 variable [Module R M₂] [Module S N₂] [Module R P₂] [Module S₂ P₂]
-
 variable [Module R Pₗ] [Module S Pₗ]
-
 variable [Module R M'] [Module S N'] [Module R₂ P'] [Module S₂ P']
-
 variable [SMulCommClass S₂ R₂ P] [SMulCommClass S R Pₗ] [SMulCommClass S₂ R₂ P']
-
 variable [SMulCommClass S₂ R P₂]
-
 variable {ρ₁₂ : R →+* R₂} {σ₁₂ : S →+* S₂}
-
 variable (ρ₁₂ σ₁₂)
 
 /-- Create a bilinear map from a function that is semilinear in each component.
@@ -211,13 +194,9 @@ theorem domRestrict₁₂_apply (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂]
 section restrictScalars
 
 variable (R' S' : Type*)
-
 variable [Semiring R'] [Semiring S'] [Module R' M] [Module S' N] [Module R' Pₗ] [Module S' Pₗ]
-
 variable [SMulCommClass S' R' Pₗ]
-
 variable [SMul S' S] [IsScalarTower S' S N] [IsScalarTower S' S Pₗ]
-
 variable [SMul R' R] [IsScalarTower R' R M] [IsScalarTower R' R Pₗ]
 
 /-- If `B : M → N → Pₗ` is `R`-`S` bilinear and `R'` and `S'` are compatible scalar multiplications,
@@ -249,29 +228,17 @@ end Semiring
 section CommSemiring
 
 variable {R : Type*} [CommSemiring R] {R₂ : Type*} [CommSemiring R₂]
-
 variable {R₃ : Type*} [CommSemiring R₃] {R₄ : Type*} [CommSemiring R₄]
-
 variable {M : Type*} {N : Type*} {P : Type*} {Q : Type*}
-
 variable {Mₗ : Type*} {Nₗ : Type*} {Pₗ : Type*} {Qₗ Qₗ' : Type*}
-
 variable [AddCommMonoid M] [AddCommMonoid N] [AddCommMonoid P] [AddCommMonoid Q]
-
 variable [AddCommMonoid Mₗ] [AddCommMonoid Nₗ] [AddCommMonoid Pₗ]
-
 variable [AddCommMonoid Qₗ] [AddCommMonoid Qₗ']
-
 variable [Module R M] [Module R₂ N] [Module R₃ P] [Module R₄ Q]
-
 variable [Module R Mₗ] [Module R Nₗ] [Module R Pₗ] [Module R Qₗ] [Module R Qₗ']
-
 variable {σ₁₂ : R →+* R₂} {σ₂₃ : R₂ →+* R₃} {σ₁₃ : R →+* R₃}
-
 variable {σ₄₂ : R₄ →+* R₂} {σ₄₃ : R₄ →+* R₃}
-
 variable [RingHomCompTriple σ₁₂ σ₂₃ σ₁₃] [RingHomCompTriple σ₄₂ σ₂₃ σ₄₃]
-
 variable (R)
 
 /-- Create a bilinear map from a function that is linear in each component.
@@ -451,15 +418,12 @@ end CommSemiring
 section CommRing
 
 variable {R R₂ S S₂ M N P : Type*}
-
 variable {Mₗ Nₗ Pₗ : Type*}
-
 variable [CommRing R] [CommRing S] [CommRing R₂] [CommRing S₂]
 
 section AddCommGroup
 
 variable [AddCommGroup M] [AddCommGroup N] [AddCommGroup P]
-
 variable [Module R M] [Module S N] [Module R₂ P] [Module S₂ P]
 
 theorem lsmul_injective [NoZeroSMulDivisors R M] {x : R} (hx : x ≠ 0) :

Generalizes the previous definition and moves it into LinearAlgebra/BilinearMap.

Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Anne Baanen <Vierkantor@users.noreply.github.com>

@@ -208,6 +208,42 @@ theorem domRestrict₁₂_apply (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂]
     (x : p) (y : q) : f.domRestrict₁₂ p q x y = f x y := rfl
 #align linear_map.dom_restrict₁₂_apply LinearMap.domRestrict₁₂_apply
 
+section restrictScalars
+
+variable (R' S' : Type*)
+
+variable [Semiring R'] [Semiring S'] [Module R' M] [Module S' N] [Module R' Pₗ] [Module S' Pₗ]
+
+variable [SMulCommClass S' R' Pₗ]
+
+variable [SMul S' S] [IsScalarTower S' S N] [IsScalarTower S' S Pₗ]
+
+variable [SMul R' R] [IsScalarTower R' R M] [IsScalarTower R' R Pₗ]
+
+/-- If `B : M → N → Pₗ` is `R`-`S` bilinear and `R'` and `S'` are compatible scalar multiplications,
+then the restriction of scalars is a `R'`-`S'` bilinear map.-/
+@[simps!]
+def restrictScalars₁₂ (B : M →ₗ[R] N →ₗ[S] Pₗ) : M →ₗ[R'] N →ₗ[S'] Pₗ :=
+  LinearMap.mk₂' R' S'
+    (B · ·)
+    B.map_add₂
+    (fun r' m _ ↦ by
+      dsimp only
+      rw [← smul_one_smul R r' m, map_smul₂, smul_one_smul])
+    (fun _ ↦ map_add _)
+    (fun _ x ↦ (B x).map_smul_of_tower _)
+
+theorem restrictScalars₁₂_injective : Function.Injective
+    (LinearMap.restrictScalars₁₂ R' S' : (M →ₗ[R] N →ₗ[S] Pₗ) → (M →ₗ[R'] N →ₗ[S'] Pₗ)) :=
+  fun _ _ h ↦ ext₂ (congr_fun₂ h : _)
+
+@[simp]
+theorem restrictScalars₁₂_inj {B B' : M →ₗ[R] N →ₗ[S] Pₗ} :
+    B.restrictScalars₁₂ R' S' = B'.restrictScalars₁₂ R' S' ↔ B = B' :=
+  (restrictScalars₁₂_injective R' S').eq_iff
+
+end restrictScalars
+
 end Semiring
 
 section CommSemiring

This is one of the steps in #10553.

Once we eliminate _root_.BilinForm, we can drop the LinearMap. prefix.

Requested on Zulip by me (2021), [by @kmill](https://leanprover.zulipchat.com/#narrow/stream/116395-maths/topic/.60bilinear_form.60/near/310675731) (2022), and perhaps one or two other places.

Co-authored-by: Christopher Hoskin <christopher.hoskin@gmail.com>

@@ -399,9 +399,15 @@ variable {R M}
 theorem lsmul_apply (r : R) (m : M) : lsmul R M r m = r • m := rfl
 #align linear_map.lsmul_apply LinearMap.lsmul_apply
 
+variable (R M) in
+/-- For convenience, a shorthand for the type of bilinear forms from `M` to `R`.
+
+This should eventually replace `_root_.BilinForm`. -/
+protected abbrev BilinForm : Type _ := M →ₗ[R] M →ₗ[R] R
+
 /-- The restriction of a bilinear form to a submodule. -/
-abbrev _root_.Submodule.restrictBilinear (p : Submodule R M) (f : M →ₗ[R] M →ₗ[R] R) :
-    p →ₗ[R] p →ₗ[R] R :=
+abbrev _root_.Submodule.restrictBilinear (p : Submodule R M) (f : LinearMap.BilinForm R M) :
+    LinearMap.BilinForm R p :=
   f.compl₁₂ p.subtype p.subtype
 
 end CommSemiring

This shortens Mathlib.LinearAlgebra.Basic, which is both longer than we like and doesn't have a clear scope.

@@ -3,7 +3,7 @@ Copyright (c) 2018 Kenny Lau. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Mario Carneiro
 -/
-import Mathlib.LinearAlgebra.Basic
+import Mathlib.Algebra.Module.Submodule.Ker
 
 #align_import linear_algebra.bilinear_map from "leanprover-community/mathlib"@"87c54600fe3cdc7d32ff5b50873ac724d86aef8d"
 

I didn't get a chance to review #10097 before it was merged; this contains some minor fixups.

This removes LinearMap.linMulLin, as it can be recovered easily via LinearMap.mul.

@@ -404,13 +404,6 @@ abbrev _root_.Submodule.restrictBilinear (p : Submodule R M) (f : M →ₗ[R] M
     p →ₗ[R] p →ₗ[R] R :=
   f.compl₁₂ p.subtype p.subtype
 
-/-- `linMulLin f g` is the bilinear form mapping `x` and `y` to `f x * g y` -/
-def linMulLin (f g : M →ₗ[R] R) : M →ₗ[R] M →ₗ[R] R :=
-  LinearMap.mk₂ R (fun x y => f x * g y) (fun x y z => by simp only [map_add, add_mul])
-  (fun _ _ => by simp only [SMulHomClass.map_smul, smul_eq_mul, mul_assoc, forall_const])
-  (fun _ _ _ => by simp only [map_add, mul_add])
-  (fun _ _ => by simp only [SMulHomClass.map_smul, smul_eq_mul, mul_left_comm, forall_const])
-
 end CommSemiring
 
 section CommRing

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>

@@ -132,7 +132,9 @@ def flip (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) : N →ₛₗ[σ₁
   mk₂'ₛₗ σ₁₂ ρ₁₂ (fun n m => f m n) (fun n₁ n₂ m => (f m).map_add _ _)
     (fun c n  m  => (f m).map_smulₛₗ _ _)
     (fun n m₁ m₂ => by simp only [map_add, add_apply])
-    (fun c n  m  => by simp only [map_smulₛₗ, smul_apply])
+    -- Note: #8386 changed `map_smulₛₗ` into `map_smulₛₗ _`.
+    -- It looks like we now run out of assignable metavariables.
+    (fun c n  m  => by simp only [map_smulₛₗ _, smul_apply])
 #align linear_map.flip LinearMap.flip
 
 end

This PR replaces the companion (B : BilinForm R M) of a quadratic form with a bilinear map (B : M →ₗ[R] M →ₗ[R] R).

This is intended as a baby step towards generalising quadratic forms to quadratic maps. In the future we could allow for companion bilinear or even sesquilinear maps into an R-module.

Co-authored-by: Christopher Hoskin <mans0954@users.noreply.github.com> Co-authored-by: Christopher Hoskin <christopher.hoskin@overleaf.com>

@@ -402,6 +402,13 @@ abbrev _root_.Submodule.restrictBilinear (p : Submodule R M) (f : M →ₗ[R] M
     p →ₗ[R] p →ₗ[R] R :=
   f.compl₁₂ p.subtype p.subtype
 
+/-- `linMulLin f g` is the bilinear form mapping `x` and `y` to `f x * g y` -/
+def linMulLin (f g : M →ₗ[R] R) : M →ₗ[R] M →ₗ[R] R :=
+  LinearMap.mk₂ R (fun x y => f x * g y) (fun x y z => by simp only [map_add, add_mul])
+  (fun _ _ => by simp only [SMulHomClass.map_smul, smul_eq_mul, mul_assoc, forall_const])
+  (fun _ _ _ => by simp only [map_add, mul_add])
+  (fun _ _ => by simp only [SMulHomClass.map_smul, smul_eq_mul, mul_left_comm, forall_const])
+
 end CommSemiring
 
 section CommRing

They key addition is the lemma LieAlgebra.IsKilling.ker_restrictBilinear_of_isCartanSubalgebra_eq_bot.

@@ -397,6 +397,11 @@ variable {R M}
 theorem lsmul_apply (r : R) (m : M) : lsmul R M r m = r • m := rfl
 #align linear_map.lsmul_apply LinearMap.lsmul_apply
 
+/-- The restriction of a bilinear form to a submodule. -/
+abbrev _root_.Submodule.restrictBilinear (p : Submodule R M) (f : M →ₗ[R] M →ₗ[R] R) :
+    p →ₗ[R] p →ₗ[R] R :=
+  f.compl₁₂ p.subtype p.subtype
+
 end CommSemiring
 
 section CommRing

This adds LinearMap.map_mul_iff to match AddMonoidHom.map_mul_iff and uses it (along with AlgHom.ofLinearMap) to golf away some induction proof in favor of ext. The main motivation is the map_mul_iff lemma itself, not the golfing.

Also fixes some incorrect docstrings that were mangled during porting, and adds an explicit name to an instance.

@@ -119,6 +119,9 @@ theorem congr_fun₂ {f g : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P} (h :
   LinearMap.congr_fun (LinearMap.congr_fun h x) y
 #align linear_map.congr_fun₂ LinearMap.congr_fun₂
 
+theorem ext_iff₂ {f g : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P} : f = g ↔ ∀ m n, f m n = g m n :=
+  ⟨congr_fun₂, ext₂⟩
+
 section
 
 attribute [local instance] SMulCommClass.symm

Co-authored-by: Junyan Xu <junyanxu.math@gmail.com> Co-authored-by: Eric Wieser <wieser.eric@gmail.com>

@@ -30,7 +30,6 @@ commuting actions, and `ρ₁₂ : R →+* R₂` and `σ₁₂ : S →+* S₂`.
 bilinear
 -/
 
-
 namespace LinearMap
 
 section Semiring

Co-authored-by: Moritz Firsching <firsching@google.com>

@@ -417,7 +417,7 @@ theorem lsmul_injective [NoZeroSMulDivisors R M] {x : R} (hx : x ≠ 0) :
 #align linear_map.lsmul_injective LinearMap.lsmul_injective
 
 theorem ker_lsmul [NoZeroSMulDivisors R M] {a : R} (ha : a ≠ 0) :
-  LinearMap.ker (LinearMap.lsmul R M a) = ⊥ :=
+    LinearMap.ker (LinearMap.lsmul R M a) = ⊥ :=
   LinearMap.ker_eq_bot_of_injective (LinearMap.lsmul_injective ha)
 #align linear_map.ker_lsmul LinearMap.ker_lsmul
 

Also _root_.map_smul when in the neighbourhood.

@@ -178,7 +178,7 @@ theorem map_smulₛₗ₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (r
 
 theorem map_sum₂ {ι : Type*} (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (t : Finset ι) (x : ι → M) (y) :
     f (∑ i in t, x i) y = ∑ i in t, f (x i) y :=
-  (flip f y).map_sum
+  _root_.map_sum (flip f y) _ _
 #align linear_map.map_sum₂ LinearMap.map_sum₂
 
 /-- Restricting a bilinear map in the second entry -/

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

This has nice performance benefits.

@@ -36,17 +36,17 @@ namespace LinearMap
 section Semiring
 
 -- the `ₗ` subscript variables are for special cases about linear (as opposed to semilinear) maps
-variable {R : Type _} [Semiring R] {S : Type _} [Semiring S]
+variable {R : Type*} [Semiring R] {S : Type*} [Semiring S]
 
-variable {R₂ : Type _} [Semiring R₂] {S₂ : Type _} [Semiring S₂]
+variable {R₂ : Type*} [Semiring R₂] {S₂ : Type*} [Semiring S₂]
 
-variable {M : Type _} {N : Type _} {P : Type _}
+variable {M : Type*} {N : Type*} {P : Type*}
 
-variable {M₂ : Type _} {N₂ : Type _} {P₂ : Type _}
+variable {M₂ : Type*} {N₂ : Type*} {P₂ : Type*}
 
-variable {Nₗ : Type _} {Pₗ : Type _}
+variable {Nₗ : Type*} {Pₗ : Type*}
 
-variable {M' : Type _} {N' : Type _} {P' : Type _}
+variable {M' : Type*} {N' : Type*} {P' : Type*}
 
 variable [AddCommMonoid M] [AddCommMonoid N] [AddCommMonoid P]
 
@@ -176,7 +176,7 @@ theorem map_smulₛₗ₂ (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (r
   (flip f y).map_smulₛₗ _ _
 #align linear_map.map_smulₛₗ₂ LinearMap.map_smulₛₗ₂
 
-theorem map_sum₂ {ι : Type _} (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (t : Finset ι) (x : ι → M) (y) :
+theorem map_sum₂ {ι : Type*} (f : M →ₛₗ[ρ₁₂] N →ₛₗ[σ₁₂] P) (t : Finset ι) (x : ι → M) (y) :
     f (∑ i in t, x i) y = ∑ i in t, f (x i) y :=
   (flip f y).map_sum
 #align linear_map.map_sum₂ LinearMap.map_sum₂
@@ -208,13 +208,13 @@ end Semiring
 
 section CommSemiring
 
-variable {R : Type _} [CommSemiring R] {R₂ : Type _} [CommSemiring R₂]
+variable {R : Type*} [CommSemiring R] {R₂ : Type*} [CommSemiring R₂]
 
-variable {R₃ : Type _} [CommSemiring R₃] {R₄ : Type _} [CommSemiring R₄]
+variable {R₃ : Type*} [CommSemiring R₃] {R₄ : Type*} [CommSemiring R₄]
 
-variable {M : Type _} {N : Type _} {P : Type _} {Q : Type _}
+variable {M : Type*} {N : Type*} {P : Type*} {Q : Type*}
 
-variable {Mₗ : Type _} {Nₗ : Type _} {Pₗ : Type _} {Qₗ Qₗ' : Type _}
+variable {Mₗ : Type*} {Nₗ : Type*} {Pₗ : Type*} {Qₗ Qₗ' : Type*}
 
 variable [AddCommMonoid M] [AddCommMonoid N] [AddCommMonoid P] [AddCommMonoid Q]
 
@@ -399,9 +399,9 @@ end CommSemiring
 
 section CommRing
 
-variable {R R₂ S S₂ M N P : Type _}
+variable {R R₂ S S₂ M N P : Type*}
 
-variable {Mₗ Nₗ Pₗ : Type _}
+variable {Mₗ Nₗ Pₗ : Type*}
 
 variable [CommRing R] [CommRing S] [CommRing R₂] [CommRing S₂]
 

• depends on: #5966

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

@@ -2,14 +2,11 @@
 Copyright (c) 2018 Kenny Lau. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Mario Carneiro
-
-! This file was ported from Lean 3 source module linear_algebra.bilinear_map
-! leanprover-community/mathlib commit 87c54600fe3cdc7d32ff5b50873ac724d86aef8d
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.LinearAlgebra.Basic
 
+#align_import linear_algebra.bilinear_map from "leanprover-community/mathlib"@"87c54600fe3cdc7d32ff5b50873ac724d86aef8d"
+
 /-!
 # Basics on bilinear maps
 

Co-authored-by: Xavier Roblot <46200072+xroblot@users.noreply.github.com> Co-authored-by: Joël Riou <joel.riou@universite-paris-saclay.fr> Co-authored-by: Riccardo Brasca <riccardo.brasca@gmail.com> Co-authored-by: Yury G. Kudryashov <urkud@urkud.name> Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com> Co-authored-by: Pol'tta / Miyahara Kō <pol_tta@outlook.jp> Co-authored-by: Jason Yuen <jason_yuen2007@hotmail.com> Co-authored-by: Mario Carneiro <di.gama@gmail.com> Co-authored-by: Jireh Loreaux <loreaujy@gmail.com> Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com> Co-authored-by: Kyle Miller <kmill31415@gmail.com> Co-authored-by: Heather Macbeth <25316162+hrmacbeth@users.noreply.github.com> Co-authored-by: Jujian Zhang <jujian.zhang1998@outlook.com> Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>

@@ -363,7 +363,7 @@ theorem compl₁₂_inj {f₁ f₂ : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ} {g : Q
     f₁.compl₁₂ g g' = f₂.compl₁₂ g g' ↔ f₁ = f₂ := by
   constructor <;> intro h
   · -- B₁.comp l r = B₂.comp l r → B₁ = B₂
-    ext (x y)
+    ext x y
     cases' hₗ x with x' hx
     subst hx
     cases' hᵣ y with y' hy

• There is now configuration for congr!, convert, and convert_to to control parts of the congruence algorithm, in particular transparency settings when applying congruence lemmas.
• congr! now applies congruence lemmas with reducible transparency by default. This prevents it from unfolding definitions when applying congruence lemmas. It also now tries both the LHS-biased and RHS-biased simp congruence lemmas, with a configuration option to set which it should try first.
• There is now a new HEq congruence lemma generator that gives each hypothesis access to the proofs of previous hypotheses. This means that if you have an equality ⊢ ⟨a, x⟩ = ⟨b, y⟩ of sigma types, congr! turns this into goals ⊢ a = b and ⊢ a = b → HEq x y (note that congr! will also auto-introduce a = b for you in the second goal). This congruence lemma generator applies to more cases than the simp congruence lemma generator does.
• congr! (and hence convert) are more careful about applying lemmas that don't force definitions to unfold. There were a number of cases in mathlib where the implementation of congr was being abused to unfold definitions.
• With set_option trace.congr! true you can see what congr! sees when it is deciding on congruence lemmas.
• There is also a bug fix in convert_to to do using 1 when there is no using clause, to match its documentation.

Note that congr! is more capable than congr at finding a way to equate left-hand sides and right-hand sides, so you will frequently need to limit its depth with a using clause. However, there is also a new heuristic to prevent considering unlikely-to-be-provable type equalities (controlled by the typeEqs option), which can help limit the depth automatically.

There is also a predefined configuration that you can invoke with, for example, convert (config := .unfoldSameFun) h, that causes it to behave more like congr, including using default transparency when unfolding.

@@ -368,7 +368,7 @@ theorem compl₁₂_inj {f₁ f₂ : Mₗ →ₗ[R] Nₗ →ₗ[R] Pₗ} {g : Q
     subst hx
     cases' hᵣ y with y' hy
     subst hy
-    convert LinearMap.congr_fun₂ h x' y'
+    convert LinearMap.congr_fun₂ h x' y' using 0
   · -- B₁ = B₂ → B₁.comp l r = B₂.comp l r
     subst h; rfl
 #align linear_map.compl₁₂_inj LinearMap.compl₁₂_inj

Co-authored-by: casavaca <96765450+casavaca@users.noreply.github.com>