linear_algebra.matrix.special_linear_group ⟷ Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup

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

@@ -328,7 +328,7 @@ theorem SL2_inv_expl_det (A : SL(2, R)) : det ![![A.1 1 1, -A.1 0 1], ![-A.1 1 0
   rw [Matrix.det_fin_two, mul_comm]
   simp only [Subtype.val_eq_coe, cons_val_zero, cons_val_one, head_cons, mul_neg, neg_mul, neg_neg]
   have := A.2
-  rw [Matrix.det_fin_two] at this 
+  rw [Matrix.det_fin_two] at this
   convert this
 #align matrix.special_linear_group.SL2_inv_expl_det Matrix.SpecialLinearGroup.SL2_inv_expl_det
 -/
@@ -339,7 +339,7 @@ theorem SL2_inv_expl (A : SL(2, R)) :
   by
   ext
   have := Matrix.adjugate_fin_two A.1
-  simp only [Subtype.val_eq_coe] at this 
+  simp only [Subtype.val_eq_coe] at this
   rw [coe_inv, this]
   rfl
 #align matrix.special_linear_group.SL2_inv_expl Matrix.SpecialLinearGroup.SL2_inv_expl
@@ -350,7 +350,7 @@ theorem fin_two_induction (P : SL(2, R) → Prop)
     (h : ∀ (a b c d : R) (hdet : a * d - b * c = 1), P ⟨!![a, b; c, d], by rwa [det_fin_two_of]⟩)
     (g : SL(2, R)) : P g := by
   obtain ⟨m, hm⟩ := g
-  convert h (m 0 0) (m 0 1) (m 1 0) (m 1 1) (by rwa [det_fin_two] at hm )
+  convert h (m 0 0) (m 0 1) (m 1 0) (m 1 1) (by rwa [det_fin_two] at hm)
   ext i j; fin_cases i <;> fin_cases j <;> rfl
 #align matrix.special_linear_group.fin_two_induction Matrix.SpecialLinearGroup.fin_two_induction
 -/
@@ -362,7 +362,7 @@ theorem fin_two_exists_eq_mk_of_apply_zero_one_eq_zero {R : Type _} [Field R] (g
   by
   induction' g using Matrix.SpecialLinearGroup.fin_two_induction with a b c d h_det
   replace hg : c = 0 := by simpa using hg
-  have had : a * d = 1 := by rwa [hg, MulZeroClass.mul_zero, sub_zero] at h_det 
+  have had : a * d = 1 := by rwa [hg, MulZeroClass.mul_zero, sub_zero] at h_det
   refine' ⟨a, b, left_ne_zero_of_mul_eq_one had, _⟩
   simp_rw [eq_inv_of_mul_eq_one_right had, hg]
 #align matrix.special_linear_group.fin_two_exists_eq_mk_of_apply_zero_one_eq_zero Matrix.SpecialLinearGroup.fin_two_exists_eq_mk_of_apply_zero_one_eq_zero

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

@@ -3,9 +3,9 @@ Copyright (c) 2020 Anne Baanen. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Anne Baanen
 -/
-import Mathbin.LinearAlgebra.GeneralLinearGroup
-import Mathbin.LinearAlgebra.Matrix.Adjugate
-import Mathbin.LinearAlgebra.Matrix.ToLin
+import LinearAlgebra.GeneralLinearGroup
+import LinearAlgebra.Matrix.Adjugate
+import LinearAlgebra.Matrix.ToLin
 
 #align_import linear_algebra.matrix.special_linear_group from "leanprover-community/mathlib"@"61db041ab8e4aaf8cb5c7dc10a7d4ff261997536"
 

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

@@ -196,7 +196,7 @@ instance : Monoid (SpecialLinearGroup n R) :=
 
 instance : Group (SpecialLinearGroup n R) :=
   { SpecialLinearGroup.monoid, SpecialLinearGroup.hasInv with
-    mul_left_inv := fun A => by ext1; simp [adjugate_mul] }
+    hMul_left_inv := fun A => by ext1; simp [adjugate_mul] }
 
 #print Matrix.SpecialLinearGroup.toLin' /-
 /-- A version of `matrix.to_lin' A` that produces linear equivalences. -/
@@ -269,7 +269,7 @@ def map (f : R →+* S) : SpecialLinearGroup n R →* SpecialLinearGroup n S
     where
   toFun g := ⟨f.mapMatrix ↑g, by rw [← f.map_det]; simp [g.2]⟩
   map_one' := Subtype.ext <| f.mapMatrix.map_one
-  map_mul' x y := Subtype.ext <| f.mapMatrix.map_mul x y
+  map_mul' x y := Subtype.ext <| f.mapMatrix.map_hMul x y
 #align matrix.special_linear_group.map Matrix.SpecialLinearGroup.map
 -/
 
@@ -452,7 +452,7 @@ theorem coe_T_zpow (n : ℤ) : ↑ₘ(T ^ n) = !![1, n; 0, 1] :=
 #print ModularGroup.T_pow_mul_apply_one /-
 @[simp]
 theorem T_pow_mul_apply_one (n : ℤ) (g : SL(2, ℤ)) : ↑ₘ(T ^ n * g) 1 = ↑ₘg 1 := by
-  simp [coe_T_zpow, Matrix.mul, Matrix.dotProduct, Fin.sum_univ_succ]
+  simp [coe_T_zpow, HMul.hMul, Matrix.dotProduct, Fin.sum_univ_succ]
 #align modular_group.T_pow_mul_apply_one ModularGroup.T_pow_mul_apply_one
 -/
 

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

@@ -2,16 +2,13 @@
 Copyright (c) 2020 Anne Baanen. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Anne Baanen
-
-! This file was ported from Lean 3 source module linear_algebra.matrix.special_linear_group
-! leanprover-community/mathlib commit 61db041ab8e4aaf8cb5c7dc10a7d4ff261997536
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.LinearAlgebra.GeneralLinearGroup
 import Mathbin.LinearAlgebra.Matrix.Adjugate
 import Mathbin.LinearAlgebra.Matrix.ToLin
 
+#align_import linear_algebra.matrix.special_linear_group from "leanprover-community/mathlib"@"61db041ab8e4aaf8cb5c7dc10a7d4ff261997536"
+
 /-!
 # The Special Linear group $SL(n, R)$
 

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

@@ -354,7 +354,7 @@ theorem fin_two_induction (P : SL(2, R) → Prop)
     (g : SL(2, R)) : P g := by
   obtain ⟨m, hm⟩ := g
   convert h (m 0 0) (m 0 1) (m 1 0) (m 1 1) (by rwa [det_fin_two] at hm )
-  ext (i j); fin_cases i <;> fin_cases j <;> rfl
+  ext i j; fin_cases i <;> fin_cases j <;> rfl
 #align matrix.special_linear_group.fin_two_induction Matrix.SpecialLinearGroup.fin_two_induction
 -/
 

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

@@ -78,7 +78,6 @@ def SpecialLinearGroup :=
 
 end
 
--- mathport name: special_linear_group.fin
 scoped[MatrixGroups] notation "SL(" n ", " R ")" => Matrix.SpecialLinearGroup (Fin n) R
 
 namespace SpecialLinearGroup
@@ -91,7 +90,6 @@ instance hasCoeToMatrix : Coe (SpecialLinearGroup n R) (Matrix n n R) :=
 #align matrix.special_linear_group.has_coe_to_matrix Matrix.SpecialLinearGroup.hasCoeToMatrix
 -/
 
--- mathport name: «expr↑ₘ »
 /- In this file, Lean often has a hard time working out the values of `n` and `R` for an expression
 like `det ↑A`. Rather than writing `(A : matrix n n R)` everywhere in this file which is annoyingly
 verbose, or `A.val` which is not the simp-normal form for subtypes, we create a local notation
@@ -140,10 +138,12 @@ section CoeLemmas
 
 variable (A B : SpecialLinearGroup n R)
 
+#print Matrix.SpecialLinearGroup.coe_mk /-
 @[simp]
 theorem coe_mk (A : Matrix n n R) (h : det A = 1) : ↑(⟨A, h⟩ : SpecialLinearGroup n R) = A :=
   rfl
 #align matrix.special_linear_group.coe_mk Matrix.SpecialLinearGroup.coe_mk
+-/
 
 #print Matrix.SpecialLinearGroup.coe_inv /-
 @[simp]
@@ -152,33 +152,45 @@ theorem coe_inv : ↑ₘA⁻¹ = adjugate A :=
 #align matrix.special_linear_group.coe_inv Matrix.SpecialLinearGroup.coe_inv
 -/
 
+#print Matrix.SpecialLinearGroup.coe_mul /-
 @[simp]
 theorem coe_mul : ↑ₘ(A * B) = ↑ₘA ⬝ ↑ₘB :=
   rfl
 #align matrix.special_linear_group.coe_mul Matrix.SpecialLinearGroup.coe_mul
+-/
 
+#print Matrix.SpecialLinearGroup.coe_one /-
 @[simp]
 theorem coe_one : ↑ₘ(1 : SpecialLinearGroup n R) = (1 : Matrix n n R) :=
   rfl
 #align matrix.special_linear_group.coe_one Matrix.SpecialLinearGroup.coe_one
+-/
 
+#print Matrix.SpecialLinearGroup.det_coe /-
 @[simp]
 theorem det_coe : det ↑ₘA = 1 :=
   A.2
 #align matrix.special_linear_group.det_coe Matrix.SpecialLinearGroup.det_coe
+-/
 
+#print Matrix.SpecialLinearGroup.coe_pow /-
 @[simp]
 theorem coe_pow (m : ℕ) : ↑ₘ(A ^ m) = ↑ₘA ^ m :=
   rfl
 #align matrix.special_linear_group.coe_pow Matrix.SpecialLinearGroup.coe_pow
+-/
 
+#print Matrix.SpecialLinearGroup.det_ne_zero /-
 theorem det_ne_zero [Nontrivial R] (g : SpecialLinearGroup n R) : det ↑ₘg ≠ 0 := by rw [g.det_coe];
   norm_num
 #align matrix.special_linear_group.det_ne_zero Matrix.SpecialLinearGroup.det_ne_zero
+-/
 
+#print Matrix.SpecialLinearGroup.row_ne_zero /-
 theorem row_ne_zero [Nontrivial R] (g : SpecialLinearGroup n R) (i : n) : ↑ₘg i ≠ 0 := fun h =>
   g.det_ne_zero <| det_eq_zero_of_row_eq_zero i <| by simp [h]
 #align matrix.special_linear_group.row_ne_zero Matrix.SpecialLinearGroup.row_ne_zero
+-/
 
 end CoeLemmas
 
@@ -202,39 +214,53 @@ def toLin' : SpecialLinearGroup n R →* (n → R) ≃ₗ[R] n → R
 #align matrix.special_linear_group.to_lin' Matrix.SpecialLinearGroup.toLin'
 -/
 
+#print Matrix.SpecialLinearGroup.toLin'_apply /-
 theorem toLin'_apply (A : SpecialLinearGroup n R) (v : n → R) :
     SpecialLinearGroup.toLin' A v = Matrix.toLin' (↑ₘA) v :=
   rfl
 #align matrix.special_linear_group.to_lin'_apply Matrix.SpecialLinearGroup.toLin'_apply
+-/
 
+#print Matrix.SpecialLinearGroup.toLin'_to_linearMap /-
 theorem toLin'_to_linearMap (A : SpecialLinearGroup n R) :
     ↑(SpecialLinearGroup.toLin' A) = Matrix.toLin' ↑ₘA :=
   rfl
 #align matrix.special_linear_group.to_lin'_to_linear_map Matrix.SpecialLinearGroup.toLin'_to_linearMap
+-/
 
+#print Matrix.SpecialLinearGroup.toLin'_symm_apply /-
 theorem toLin'_symm_apply (A : SpecialLinearGroup n R) (v : n → R) :
     A.toLin'.symm v = Matrix.toLin' (↑ₘA⁻¹) v :=
   rfl
 #align matrix.special_linear_group.to_lin'_symm_apply Matrix.SpecialLinearGroup.toLin'_symm_apply
+-/
 
+#print Matrix.SpecialLinearGroup.toLin'_symm_to_linearMap /-
 theorem toLin'_symm_to_linearMap (A : SpecialLinearGroup n R) :
     ↑A.toLin'.symm = Matrix.toLin' ↑ₘA⁻¹ :=
   rfl
 #align matrix.special_linear_group.to_lin'_symm_to_linear_map Matrix.SpecialLinearGroup.toLin'_symm_to_linearMap
+-/
 
+#print Matrix.SpecialLinearGroup.toLin'_injective /-
 theorem toLin'_injective :
     Function.Injective ⇑(toLin' : SpecialLinearGroup n R →* (n → R) ≃ₗ[R] n → R) := fun A B h =>
   Subtype.coe_injective <| Matrix.toLin'.Injective <| LinearEquiv.toLinearMap_injective.eq_iff.mpr h
 #align matrix.special_linear_group.to_lin'_injective Matrix.SpecialLinearGroup.toLin'_injective
+-/
 
+#print Matrix.SpecialLinearGroup.toGL /-
 /-- `to_GL` is the map from the special linear group to the general linear group -/
 def toGL : SpecialLinearGroup n R →* GeneralLinearGroup R (n → R) :=
   (GeneralLinearGroup.generalLinearEquiv _ _).symm.toMonoidHom.comp toLin'
 #align matrix.special_linear_group.to_GL Matrix.SpecialLinearGroup.toGL
+-/
 
+#print Matrix.SpecialLinearGroup.coe_toGL /-
 theorem coe_toGL (A : SpecialLinearGroup n R) : ↑A.toGL = A.toLin'.toLinearMap :=
   rfl
 #align matrix.special_linear_group.coe_to_GL Matrix.SpecialLinearGroup.coe_toGL
+-/
 
 variable {S : Type _} [CommRing S]
 
@@ -256,11 +282,13 @@ section cast
 instance : Coe (SpecialLinearGroup n ℤ) (SpecialLinearGroup n R) :=
   ⟨fun x => map (Int.castRingHom R) x⟩
 
+#print Matrix.SpecialLinearGroup.coe_matrix_coe /-
 @[simp]
 theorem coe_matrix_coe (g : SpecialLinearGroup n ℤ) :
     ↑(g : SpecialLinearGroup n R) = (↑g : Matrix n n ℤ).map (Int.castRingHom R) :=
   map_apply_coe (Int.castRingHom R) g
 #align matrix.special_linear_group.coe_matrix_coe Matrix.SpecialLinearGroup.coe_matrix_coe
+-/
 
 end cast
 
@@ -276,23 +304,28 @@ instance : Neg (SpecialLinearGroup n R) :=
       simpa [(Fact.out <| Even <| Fintype.card n).neg_one_pow, g.det_coe] using
         det_smul (↑ₘg) (-1)⟩⟩
 
+#print Matrix.SpecialLinearGroup.coe_neg /-
 @[simp]
 theorem coe_neg (g : SpecialLinearGroup n R) : ↑(-g) = -(g : Matrix n n R) :=
   rfl
 #align matrix.special_linear_group.coe_neg Matrix.SpecialLinearGroup.coe_neg
+-/
 
 instance : HasDistribNeg (SpecialLinearGroup n R) :=
   Function.Injective.hasDistribNeg _ Subtype.coe_injective coe_neg coe_mul
 
+#print Matrix.SpecialLinearGroup.coe_int_neg /-
 @[simp]
 theorem coe_int_neg (g : SpecialLinearGroup n ℤ) : ↑(-g) = (-↑g : SpecialLinearGroup n R) :=
   Subtype.ext <| (@RingHom.mapMatrix n _ _ _ _ _ _ (Int.castRingHom R)).map_neg ↑g
 #align matrix.special_linear_group.coe_int_neg Matrix.SpecialLinearGroup.coe_int_neg
+-/
 
 end Neg
 
 section SpecialCases
 
+#print Matrix.SpecialLinearGroup.SL2_inv_expl_det /-
 theorem SL2_inv_expl_det (A : SL(2, R)) : det ![![A.1 1 1, -A.1 0 1], ![-A.1 1 0, A.1 0 0]] = 1 :=
   by
   rw [Matrix.det_fin_two, mul_comm]
@@ -301,6 +334,7 @@ theorem SL2_inv_expl_det (A : SL(2, R)) : det ![![A.1 1 1, -A.1 0 1], ![-A.1 1 0
   rw [Matrix.det_fin_two] at this 
   convert this
 #align matrix.special_linear_group.SL2_inv_expl_det Matrix.SpecialLinearGroup.SL2_inv_expl_det
+-/
 
 #print Matrix.SpecialLinearGroup.SL2_inv_expl /-
 theorem SL2_inv_expl (A : SL(2, R)) :
@@ -314,6 +348,7 @@ theorem SL2_inv_expl (A : SL(2, R)) :
 #align matrix.special_linear_group.SL2_inv_expl Matrix.SpecialLinearGroup.SL2_inv_expl
 -/
 
+#print Matrix.SpecialLinearGroup.fin_two_induction /-
 theorem fin_two_induction (P : SL(2, R) → Prop)
     (h : ∀ (a b c d : R) (hdet : a * d - b * c = 1), P ⟨!![a, b; c, d], by rwa [det_fin_two_of]⟩)
     (g : SL(2, R)) : P g := by
@@ -321,7 +356,9 @@ theorem fin_two_induction (P : SL(2, R) → Prop)
   convert h (m 0 0) (m 0 1) (m 1 0) (m 1 1) (by rwa [det_fin_two] at hm )
   ext (i j); fin_cases i <;> fin_cases j <;> rfl
 #align matrix.special_linear_group.fin_two_induction Matrix.SpecialLinearGroup.fin_two_induction
+-/
 
+#print Matrix.SpecialLinearGroup.fin_two_exists_eq_mk_of_apply_zero_one_eq_zero /-
 theorem fin_two_exists_eq_mk_of_apply_zero_one_eq_zero {R : Type _} [Field R] (g : SL(2, R))
     (hg : (g : Matrix (Fin 2) (Fin 2) R) 1 0 = 0) :
     ∃ (a b : R) (h : a ≠ 0), g = (⟨!![a, b; 0, a⁻¹], by simp [h]⟩ : SL(2, R)) :=
@@ -332,6 +369,7 @@ theorem fin_two_exists_eq_mk_of_apply_zero_one_eq_zero {R : Type _} [Field R] (g
   refine' ⟨a, b, left_ne_zero_of_mul_eq_one had, _⟩
   simp_rw [eq_inv_of_mul_eq_one_right had, hg]
 #align matrix.special_linear_group.fin_two_exists_eq_mk_of_apply_zero_one_eq_zero Matrix.SpecialLinearGroup.fin_two_exists_eq_mk_of_apply_zero_one_eq_zero
+-/
 
 end SpecialCases
 
@@ -358,9 +396,9 @@ open scoped MatrixGroups
 
 open Matrix Matrix.SpecialLinearGroup
 
--- mathport name: «expr↑ₘ »
 local prefix:1024 "↑ₘ" => @coe _ (Matrix (Fin 2) (Fin 2) ℤ) _
 
+#print ModularGroup.S /-
 /-- The matrix `S = [[0, -1], [1, 0]]` as an element of `SL(2, ℤ)`.
 
 This element acts naturally on the Euclidean plane as a rotation about the origin by `π / 2`.
@@ -370,11 +408,14 @@ represents the Mobiüs transformation `z ↦ -1/z` and is an involutive elliptic
 def S : SL(2, ℤ) :=
   ⟨!![0, -1; 1, 0], by norm_num [Matrix.det_fin_two_of]⟩
 #align modular_group.S ModularGroup.S
+-/
 
+#print ModularGroup.T /-
 /-- The matrix `T = [[1, 1], [0, 1]]` as an element of `SL(2, ℤ)` -/
 def T : SL(2, ℤ) :=
   ⟨!![1, 1; 0, 1], by norm_num [Matrix.det_fin_two_of]⟩
 #align modular_group.T ModularGroup.T
+-/
 
 #print ModularGroup.coe_S /-
 theorem coe_S : ↑ₘS = !![0, -1; 1, 0] :=
@@ -388,11 +429,14 @@ theorem coe_T : ↑ₘT = !![1, 1; 0, 1] :=
 #align modular_group.coe_T ModularGroup.coe_T
 -/
 
+#print ModularGroup.coe_T_inv /-
 theorem coe_T_inv : ↑ₘT⁻¹ = !![1, -1; 0, 1] := by simp [coe_inv, coe_T, adjugate_fin_two]
 #align modular_group.coe_T_inv ModularGroup.coe_T_inv
+-/
 
 /- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `congrm #[[expr «expr!![ »(matrix.notation [expr _, ",", expr _, ";", expr _, ",", expr _, "]"] [])]] -/
 /- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `congrm #[[expr «expr!![ »(matrix.notation [expr _, ",", expr _, ";", expr _, ",", expr _, "]"] [])]] -/
+#print ModularGroup.coe_T_zpow /-
 theorem coe_T_zpow (n : ℤ) : ↑ₘ(T ^ n) = !![1, n; 0, 1] :=
   by
   induction' n using Int.induction_on with n h n h
@@ -406,21 +450,28 @@ theorem coe_T_zpow (n : ℤ) : ↑ₘ(T ^ n) = !![1, n; 0, 1] :=
         "./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `congrm #[[expr «expr!![ »(matrix.notation [expr _, \",\", expr _, \";\", expr _, \",\", expr _, \"]\"] [])]]" <;>
       ring
 #align modular_group.coe_T_zpow ModularGroup.coe_T_zpow
+-/
 
+#print ModularGroup.T_pow_mul_apply_one /-
 @[simp]
 theorem T_pow_mul_apply_one (n : ℤ) (g : SL(2, ℤ)) : ↑ₘ(T ^ n * g) 1 = ↑ₘg 1 := by
   simp [coe_T_zpow, Matrix.mul, Matrix.dotProduct, Fin.sum_univ_succ]
 #align modular_group.T_pow_mul_apply_one ModularGroup.T_pow_mul_apply_one
+-/
 
+#print ModularGroup.T_mul_apply_one /-
 @[simp]
 theorem T_mul_apply_one (g : SL(2, ℤ)) : ↑ₘ(T * g) 1 = ↑ₘg 1 := by
   simpa using T_pow_mul_apply_one 1 g
 #align modular_group.T_mul_apply_one ModularGroup.T_mul_apply_one
+-/
 
+#print ModularGroup.T_inv_mul_apply_one /-
 @[simp]
 theorem T_inv_mul_apply_one (g : SL(2, ℤ)) : ↑ₘ(T⁻¹ * g) 1 = ↑ₘg 1 := by
   simpa using T_pow_mul_apply_one (-1) g
 #align modular_group.T_inv_mul_apply_one ModularGroup.T_inv_mul_apply_one
+-/
 
 end ModularGroup
 

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

@@ -298,7 +298,7 @@ theorem SL2_inv_expl_det (A : SL(2, R)) : det ![![A.1 1 1, -A.1 0 1], ![-A.1 1 0
   rw [Matrix.det_fin_two, mul_comm]
   simp only [Subtype.val_eq_coe, cons_val_zero, cons_val_one, head_cons, mul_neg, neg_mul, neg_neg]
   have := A.2
-  rw [Matrix.det_fin_two] at this
+  rw [Matrix.det_fin_two] at this 
   convert this
 #align matrix.special_linear_group.SL2_inv_expl_det Matrix.SpecialLinearGroup.SL2_inv_expl_det
 
@@ -308,7 +308,7 @@ theorem SL2_inv_expl (A : SL(2, R)) :
   by
   ext
   have := Matrix.adjugate_fin_two A.1
-  simp only [Subtype.val_eq_coe] at this
+  simp only [Subtype.val_eq_coe] at this 
   rw [coe_inv, this]
   rfl
 #align matrix.special_linear_group.SL2_inv_expl Matrix.SpecialLinearGroup.SL2_inv_expl
@@ -318,17 +318,17 @@ theorem fin_two_induction (P : SL(2, R) → Prop)
     (h : ∀ (a b c d : R) (hdet : a * d - b * c = 1), P ⟨!![a, b; c, d], by rwa [det_fin_two_of]⟩)
     (g : SL(2, R)) : P g := by
   obtain ⟨m, hm⟩ := g
-  convert h (m 0 0) (m 0 1) (m 1 0) (m 1 1) (by rwa [det_fin_two] at hm)
+  convert h (m 0 0) (m 0 1) (m 1 0) (m 1 1) (by rwa [det_fin_two] at hm )
   ext (i j); fin_cases i <;> fin_cases j <;> rfl
 #align matrix.special_linear_group.fin_two_induction Matrix.SpecialLinearGroup.fin_two_induction
 
 theorem fin_two_exists_eq_mk_of_apply_zero_one_eq_zero {R : Type _} [Field R] (g : SL(2, R))
     (hg : (g : Matrix (Fin 2) (Fin 2) R) 1 0 = 0) :
-    ∃ (a b : R)(h : a ≠ 0), g = (⟨!![a, b; 0, a⁻¹], by simp [h]⟩ : SL(2, R)) :=
+    ∃ (a b : R) (h : a ≠ 0), g = (⟨!![a, b; 0, a⁻¹], by simp [h]⟩ : SL(2, R)) :=
   by
   induction' g using Matrix.SpecialLinearGroup.fin_two_induction with a b c d h_det
   replace hg : c = 0 := by simpa using hg
-  have had : a * d = 1 := by rwa [hg, MulZeroClass.mul_zero, sub_zero] at h_det
+  have had : a * d = 1 := by rwa [hg, MulZeroClass.mul_zero, sub_zero] at h_det 
   refine' ⟨a, b, left_ne_zero_of_mul_eq_one had, _⟩
   simp_rw [eq_inv_of_mul_eq_one_right had, hg]
 #align matrix.special_linear_group.fin_two_exists_eq_mk_of_apply_zero_one_eq_zero Matrix.SpecialLinearGroup.fin_two_exists_eq_mk_of_apply_zero_one_eq_zero
@@ -368,12 +368,12 @@ This element acts naturally on the Euclidean plane as a rotation about the origi
 This element also acts naturally on the hyperbolic plane as rotation about `i` by `π`. It
 represents the Mobiüs transformation `z ↦ -1/z` and is an involutive elliptic isometry. -/
 def S : SL(2, ℤ) :=
-  ⟨!![0, -1; 1, 0], by norm_num [Matrix.det_fin_two_of] ⟩
+  ⟨!![0, -1; 1, 0], by norm_num [Matrix.det_fin_two_of]⟩
 #align modular_group.S ModularGroup.S
 
 /-- The matrix `T = [[1, 1], [0, 1]]` as an element of `SL(2, ℤ)` -/
 def T : SL(2, ℤ) :=
-  ⟨!![1, 1; 0, 1], by norm_num [Matrix.det_fin_two_of] ⟩
+  ⟨!![1, 1; 0, 1], by norm_num [Matrix.det_fin_two_of]⟩
 #align modular_group.T ModularGroup.T
 
 #print ModularGroup.coe_S /-

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

@@ -60,7 +60,7 @@ namespace Matrix
 
 universe u v
 
-open Matrix
+open scoped Matrix
 
 open LinearMap
 
@@ -354,7 +354,7 @@ end Matrix
 
 namespace ModularGroup
 
-open MatrixGroups
+open scoped MatrixGroups
 
 open Matrix Matrix.SpecialLinearGroup
 

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

@@ -140,9 +140,6 @@ section CoeLemmas
 
 variable (A B : SpecialLinearGroup n R)
 
-/- warning: matrix.special_linear_group.coe_mk -> Matrix.SpecialLinearGroup.coe_mk is a dubious translation:
-<too large>
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 @[simp]
 theorem coe_mk (A : Matrix n n R) (h : det A = 1) : ↑(⟨A, h⟩ : SpecialLinearGroup n R) = A :=
   rfl
@@ -155,51 +152,30 @@ theorem coe_inv : ↑ₘA⁻¹ = adjugate A :=
 #align matrix.special_linear_group.coe_inv Matrix.SpecialLinearGroup.coe_inv
 -/
 
-/- warning: matrix.special_linear_group.coe_mul -> Matrix.SpecialLinearGroup.coe_mul is a dubious translation:
-<too large>
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 @[simp]
 theorem coe_mul : ↑ₘ(A * B) = ↑ₘA ⬝ ↑ₘB :=
   rfl
 #align matrix.special_linear_group.coe_mul Matrix.SpecialLinearGroup.coe_mul
 
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 @[simp]
 theorem coe_one : ↑ₘ(1 : SpecialLinearGroup n R) = (1 : Matrix n n R) :=
   rfl
 #align matrix.special_linear_group.coe_one Matrix.SpecialLinearGroup.coe_one
 
-/- warning: matrix.special_linear_group.det_coe -> Matrix.SpecialLinearGroup.det_coe is a dubious translation:
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 @[simp]
 theorem det_coe : det ↑ₘA = 1 :=
   A.2
 #align matrix.special_linear_group.det_coe Matrix.SpecialLinearGroup.det_coe
 
-/- warning: matrix.special_linear_group.coe_pow -> Matrix.SpecialLinearGroup.coe_pow is a dubious translation:
-<too large>
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 @[simp]
 theorem coe_pow (m : ℕ) : ↑ₘ(A ^ m) = ↑ₘA ^ m :=
   rfl
 #align matrix.special_linear_group.coe_pow Matrix.SpecialLinearGroup.coe_pow
 
-/- warning: matrix.special_linear_group.det_ne_zero -> Matrix.SpecialLinearGroup.det_ne_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.det_ne_zero Matrix.SpecialLinearGroup.det_ne_zeroₓ'. -/
 theorem det_ne_zero [Nontrivial R] (g : SpecialLinearGroup n R) : det ↑ₘg ≠ 0 := by rw [g.det_coe];
   norm_num
 #align matrix.special_linear_group.det_ne_zero Matrix.SpecialLinearGroup.det_ne_zero
 
-/- warning: matrix.special_linear_group.row_ne_zero -> Matrix.SpecialLinearGroup.row_ne_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.row_ne_zero Matrix.SpecialLinearGroup.row_ne_zeroₓ'. -/
 theorem row_ne_zero [Nontrivial R] (g : SpecialLinearGroup n R) (i : n) : ↑ₘg i ≠ 0 := fun h =>
   g.det_ne_zero <| det_eq_zero_of_row_eq_zero i <| by simp [h]
 #align matrix.special_linear_group.row_ne_zero Matrix.SpecialLinearGroup.row_ne_zero
@@ -226,60 +202,36 @@ def toLin' : SpecialLinearGroup n R →* (n → R) ≃ₗ[R] n → R
 #align matrix.special_linear_group.to_lin' Matrix.SpecialLinearGroup.toLin'
 -/
 
-/- warning: matrix.special_linear_group.to_lin'_apply -> Matrix.SpecialLinearGroup.toLin'_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.to_lin'_apply Matrix.SpecialLinearGroup.toLin'_applyₓ'. -/
 theorem toLin'_apply (A : SpecialLinearGroup n R) (v : n → R) :
     SpecialLinearGroup.toLin' A v = Matrix.toLin' (↑ₘA) v :=
   rfl
 #align matrix.special_linear_group.to_lin'_apply Matrix.SpecialLinearGroup.toLin'_apply
 
-/- warning: matrix.special_linear_group.to_lin'_to_linear_map -> Matrix.SpecialLinearGroup.toLin'_to_linearMap is a dubious translation:
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 theorem toLin'_to_linearMap (A : SpecialLinearGroup n R) :
     ↑(SpecialLinearGroup.toLin' A) = Matrix.toLin' ↑ₘA :=
   rfl
 #align matrix.special_linear_group.to_lin'_to_linear_map Matrix.SpecialLinearGroup.toLin'_to_linearMap
 
-/- warning: matrix.special_linear_group.to_lin'_symm_apply -> Matrix.SpecialLinearGroup.toLin'_symm_apply is a dubious translation:
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 theorem toLin'_symm_apply (A : SpecialLinearGroup n R) (v : n → R) :
     A.toLin'.symm v = Matrix.toLin' (↑ₘA⁻¹) v :=
   rfl
 #align matrix.special_linear_group.to_lin'_symm_apply Matrix.SpecialLinearGroup.toLin'_symm_apply
 
-/- warning: matrix.special_linear_group.to_lin'_symm_to_linear_map -> Matrix.SpecialLinearGroup.toLin'_symm_to_linearMap is a dubious translation:
-<too large>
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 theorem toLin'_symm_to_linearMap (A : SpecialLinearGroup n R) :
     ↑A.toLin'.symm = Matrix.toLin' ↑ₘA⁻¹ :=
   rfl
 #align matrix.special_linear_group.to_lin'_symm_to_linear_map Matrix.SpecialLinearGroup.toLin'_symm_to_linearMap
 
-/- warning: matrix.special_linear_group.to_lin'_injective -> Matrix.SpecialLinearGroup.toLin'_injective is a dubious translation:
-<too large>
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 theorem toLin'_injective :
     Function.Injective ⇑(toLin' : SpecialLinearGroup n R →* (n → R) ≃ₗ[R] n → R) := fun A B h =>
   Subtype.coe_injective <| Matrix.toLin'.Injective <| LinearEquiv.toLinearMap_injective.eq_iff.mpr h
 #align matrix.special_linear_group.to_lin'_injective Matrix.SpecialLinearGroup.toLin'_injective
 
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 /-- `to_GL` is the map from the special linear group to the general linear group -/
 def toGL : SpecialLinearGroup n R →* GeneralLinearGroup R (n → R) :=
   (GeneralLinearGroup.generalLinearEquiv _ _).symm.toMonoidHom.comp toLin'
 #align matrix.special_linear_group.to_GL Matrix.SpecialLinearGroup.toGL
 
-/- warning: matrix.special_linear_group.coe_to_GL -> Matrix.SpecialLinearGroup.coe_toGL is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.coe_to_GL Matrix.SpecialLinearGroup.coe_toGLₓ'. -/
 theorem coe_toGL (A : SpecialLinearGroup n R) : ↑A.toGL = A.toLin'.toLinearMap :=
   rfl
 #align matrix.special_linear_group.coe_to_GL Matrix.SpecialLinearGroup.coe_toGL
@@ -304,9 +256,6 @@ section cast
 instance : Coe (SpecialLinearGroup n ℤ) (SpecialLinearGroup n R) :=
   ⟨fun x => map (Int.castRingHom R) x⟩
 
-/- warning: matrix.special_linear_group.coe_matrix_coe -> Matrix.SpecialLinearGroup.coe_matrix_coe is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.coe_matrix_coe Matrix.SpecialLinearGroup.coe_matrix_coeₓ'. -/
 @[simp]
 theorem coe_matrix_coe (g : SpecialLinearGroup n ℤ) :
     ↑(g : SpecialLinearGroup n R) = (↑g : Matrix n n ℤ).map (Int.castRingHom R) :=
@@ -327,9 +276,6 @@ instance : Neg (SpecialLinearGroup n R) :=
       simpa [(Fact.out <| Even <| Fintype.card n).neg_one_pow, g.det_coe] using
         det_smul (↑ₘg) (-1)⟩⟩
 
-/- warning: matrix.special_linear_group.coe_neg -> Matrix.SpecialLinearGroup.coe_neg is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.coe_neg Matrix.SpecialLinearGroup.coe_negₓ'. -/
 @[simp]
 theorem coe_neg (g : SpecialLinearGroup n R) : ↑(-g) = -(g : Matrix n n R) :=
   rfl
@@ -338,9 +284,6 @@ theorem coe_neg (g : SpecialLinearGroup n R) : ↑(-g) = -(g : Matrix n n R) :=
 instance : HasDistribNeg (SpecialLinearGroup n R) :=
   Function.Injective.hasDistribNeg _ Subtype.coe_injective coe_neg coe_mul
 
-/- warning: matrix.special_linear_group.coe_int_neg -> Matrix.SpecialLinearGroup.coe_int_neg is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.coe_int_neg Matrix.SpecialLinearGroup.coe_int_negₓ'. -/
 @[simp]
 theorem coe_int_neg (g : SpecialLinearGroup n ℤ) : ↑(-g) = (-↑g : SpecialLinearGroup n R) :=
   Subtype.ext <| (@RingHom.mapMatrix n _ _ _ _ _ _ (Int.castRingHom R)).map_neg ↑g
@@ -350,9 +293,6 @@ end Neg
 
 section SpecialCases
 
-/- warning: matrix.special_linear_group.SL2_inv_expl_det -> Matrix.SpecialLinearGroup.SL2_inv_expl_det is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.SL2_inv_expl_det Matrix.SpecialLinearGroup.SL2_inv_expl_detₓ'. -/
 theorem SL2_inv_expl_det (A : SL(2, R)) : det ![![A.1 1 1, -A.1 0 1], ![-A.1 1 0, A.1 0 0]] = 1 :=
   by
   rw [Matrix.det_fin_two, mul_comm]
@@ -374,9 +314,6 @@ theorem SL2_inv_expl (A : SL(2, R)) :
 #align matrix.special_linear_group.SL2_inv_expl Matrix.SpecialLinearGroup.SL2_inv_expl
 -/
 
-/- warning: matrix.special_linear_group.fin_two_induction -> Matrix.SpecialLinearGroup.fin_two_induction is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.fin_two_induction Matrix.SpecialLinearGroup.fin_two_inductionₓ'. -/
 theorem fin_two_induction (P : SL(2, R) → Prop)
     (h : ∀ (a b c d : R) (hdet : a * d - b * c = 1), P ⟨!![a, b; c, d], by rwa [det_fin_two_of]⟩)
     (g : SL(2, R)) : P g := by
@@ -385,9 +322,6 @@ theorem fin_two_induction (P : SL(2, R) → Prop)
   ext (i j); fin_cases i <;> fin_cases j <;> rfl
 #align matrix.special_linear_group.fin_two_induction Matrix.SpecialLinearGroup.fin_two_induction
 
-/- warning: matrix.special_linear_group.fin_two_exists_eq_mk_of_apply_zero_one_eq_zero -> Matrix.SpecialLinearGroup.fin_two_exists_eq_mk_of_apply_zero_one_eq_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.fin_two_exists_eq_mk_of_apply_zero_one_eq_zero Matrix.SpecialLinearGroup.fin_two_exists_eq_mk_of_apply_zero_one_eq_zeroₓ'. -/
 theorem fin_two_exists_eq_mk_of_apply_zero_one_eq_zero {R : Type _} [Field R] (g : SL(2, R))
     (hg : (g : Matrix (Fin 2) (Fin 2) R) 1 0 = 0) :
     ∃ (a b : R)(h : a ≠ 0), g = (⟨!![a, b; 0, a⁻¹], by simp [h]⟩ : SL(2, R)) :=
@@ -427,12 +361,6 @@ open Matrix Matrix.SpecialLinearGroup
 -- mathport name: «expr↑ₘ »
 local prefix:1024 "↑ₘ" => @coe _ (Matrix (Fin 2) (Fin 2) ℤ) _
 
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-Case conversion may be inaccurate. Consider using '#align modular_group.S ModularGroup.Sₓ'. -/
 /-- The matrix `S = [[0, -1], [1, 0]]` as an element of `SL(2, ℤ)`.
 
 This element acts naturally on the Euclidean plane as a rotation about the origin by `π / 2`.
@@ -443,12 +371,6 @@ def S : SL(2, ℤ) :=
   ⟨!![0, -1; 1, 0], by norm_num [Matrix.det_fin_two_of] ⟩
 #align modular_group.S ModularGroup.S
 
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-Case conversion may be inaccurate. Consider using '#align modular_group.T ModularGroup.Tₓ'. -/
 /-- The matrix `T = [[1, 1], [0, 1]]` as an element of `SL(2, ℤ)` -/
 def T : SL(2, ℤ) :=
   ⟨!![1, 1; 0, 1], by norm_num [Matrix.det_fin_two_of] ⟩
@@ -466,15 +388,9 @@ theorem coe_T : ↑ₘT = !![1, 1; 0, 1] :=
 #align modular_group.coe_T ModularGroup.coe_T
 -/
 
-/- warning: modular_group.coe_T_inv -> ModularGroup.coe_T_inv is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align modular_group.coe_T_inv ModularGroup.coe_T_invₓ'. -/
 theorem coe_T_inv : ↑ₘT⁻¹ = !![1, -1; 0, 1] := by simp [coe_inv, coe_T, adjugate_fin_two]
 #align modular_group.coe_T_inv ModularGroup.coe_T_inv
 
-/- warning: modular_group.coe_T_zpow -> ModularGroup.coe_T_zpow is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align modular_group.coe_T_zpow ModularGroup.coe_T_zpowₓ'. -/
 /- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `congrm #[[expr «expr!![ »(matrix.notation [expr _, ",", expr _, ";", expr _, ",", expr _, "]"] [])]] -/
 /- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `congrm #[[expr «expr!![ »(matrix.notation [expr _, ",", expr _, ";", expr _, ",", expr _, "]"] [])]] -/
 theorem coe_T_zpow (n : ℤ) : ↑ₘ(T ^ n) = !![1, n; 0, 1] :=
@@ -491,25 +407,16 @@ theorem coe_T_zpow (n : ℤ) : ↑ₘ(T ^ n) = !![1, n; 0, 1] :=
       ring
 #align modular_group.coe_T_zpow ModularGroup.coe_T_zpow
 
-/- warning: modular_group.T_pow_mul_apply_one -> ModularGroup.T_pow_mul_apply_one is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align modular_group.T_pow_mul_apply_one ModularGroup.T_pow_mul_apply_oneₓ'. -/
 @[simp]
 theorem T_pow_mul_apply_one (n : ℤ) (g : SL(2, ℤ)) : ↑ₘ(T ^ n * g) 1 = ↑ₘg 1 := by
   simp [coe_T_zpow, Matrix.mul, Matrix.dotProduct, Fin.sum_univ_succ]
 #align modular_group.T_pow_mul_apply_one ModularGroup.T_pow_mul_apply_one
 
-/- warning: modular_group.T_mul_apply_one -> ModularGroup.T_mul_apply_one is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align modular_group.T_mul_apply_one ModularGroup.T_mul_apply_oneₓ'. -/
 @[simp]
 theorem T_mul_apply_one (g : SL(2, ℤ)) : ↑ₘ(T * g) 1 = ↑ₘg 1 := by
   simpa using T_pow_mul_apply_one 1 g
 #align modular_group.T_mul_apply_one ModularGroup.T_mul_apply_one
 
-/- warning: modular_group.T_inv_mul_apply_one -> ModularGroup.T_inv_mul_apply_one is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align modular_group.T_inv_mul_apply_one ModularGroup.T_inv_mul_apply_oneₓ'. -/
 @[simp]
 theorem T_inv_mul_apply_one (g : SL(2, ℤ)) : ↑ₘ(T⁻¹ * g) 1 = ↑ₘg 1 := by
   simpa using T_pow_mul_apply_one (-1) g

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

@@ -193,9 +193,7 @@ theorem coe_pow (m : ℕ) : ↑ₘ(A ^ m) = ↑ₘA ^ m :=
 /- warning: matrix.special_linear_group.det_ne_zero -> Matrix.SpecialLinearGroup.det_ne_zero is a dubious translation:
 <too large>
 Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.det_ne_zero Matrix.SpecialLinearGroup.det_ne_zeroₓ'. -/
-theorem det_ne_zero [Nontrivial R] (g : SpecialLinearGroup n R) : det ↑ₘg ≠ 0 :=
-  by
-  rw [g.det_coe]
+theorem det_ne_zero [Nontrivial R] (g : SpecialLinearGroup n R) : det ↑ₘg ≠ 0 := by rw [g.det_coe];
   norm_num
 #align matrix.special_linear_group.det_ne_zero Matrix.SpecialLinearGroup.det_ne_zero
 
@@ -213,9 +211,7 @@ instance : Monoid (SpecialLinearGroup n R) :=
 
 instance : Group (SpecialLinearGroup n R) :=
   { SpecialLinearGroup.monoid, SpecialLinearGroup.hasInv with
-    mul_left_inv := fun A => by
-      ext1
-      simp [adjugate_mul] }
+    mul_left_inv := fun A => by ext1; simp [adjugate_mul] }
 
 #print Matrix.SpecialLinearGroup.toLin' /-
 /-- A version of `matrix.to_lin' A` that produces linear equivalences. -/
@@ -296,10 +292,7 @@ variable {S : Type _} [CommRing S]
 @[simps]
 def map (f : R →+* S) : SpecialLinearGroup n R →* SpecialLinearGroup n S
     where
-  toFun g :=
-    ⟨f.mapMatrix ↑g, by
-      rw [← f.map_det]
-      simp [g.2]⟩
+  toFun g := ⟨f.mapMatrix ↑g, by rw [← f.map_det]; simp [g.2]⟩
   map_one' := Subtype.ext <| f.mapMatrix.map_one
   map_mul' x y := Subtype.ext <| f.mapMatrix.map_mul x y
 #align matrix.special_linear_group.map Matrix.SpecialLinearGroup.map

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

@@ -141,10 +141,7 @@ section CoeLemmas
 variable (A B : SpecialLinearGroup n R)
 
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 @[simp]
 theorem coe_mk (A : Matrix n n R) (h : det A = 1) : ↑(⟨A, h⟩ : SpecialLinearGroup n R) = A :=
@@ -159,10 +156,7 @@ theorem coe_inv : ↑ₘA⁻¹ = adjugate A :=
 -/
 
 /- warning: matrix.special_linear_group.coe_mul -> Matrix.SpecialLinearGroup.coe_mul is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.coe_mul Matrix.SpecialLinearGroup.coe_mulₓ'. -/
 @[simp]
 theorem coe_mul : ↑ₘ(A * B) = ↑ₘA ⬝ ↑ₘB :=
@@ -181,10 +175,7 @@ theorem coe_one : ↑ₘ(1 : SpecialLinearGroup n R) = (1 : Matrix n n R) :=
 #align matrix.special_linear_group.coe_one Matrix.SpecialLinearGroup.coe_one
 
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 Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.det_coe Matrix.SpecialLinearGroup.det_coeₓ'. -/
 @[simp]
 theorem det_coe : det ↑ₘA = 1 :=
@@ -192,10 +183,7 @@ theorem det_coe : det ↑ₘA = 1 :=
 #align matrix.special_linear_group.det_coe Matrix.SpecialLinearGroup.det_coe
 
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 @[simp]
 theorem coe_pow (m : ℕ) : ↑ₘ(A ^ m) = ↑ₘA ^ m :=
@@ -203,10 +191,7 @@ theorem coe_pow (m : ℕ) : ↑ₘ(A ^ m) = ↑ₘA ^ m :=
 #align matrix.special_linear_group.coe_pow Matrix.SpecialLinearGroup.coe_pow
 
 /- warning: matrix.special_linear_group.det_ne_zero -> Matrix.SpecialLinearGroup.det_ne_zero is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.det_ne_zero Matrix.SpecialLinearGroup.det_ne_zeroₓ'. -/
 theorem det_ne_zero [Nontrivial R] (g : SpecialLinearGroup n R) : det ↑ₘg ≠ 0 :=
   by
@@ -215,10 +200,7 @@ theorem det_ne_zero [Nontrivial R] (g : SpecialLinearGroup n R) : det ↑ₘg 
 #align matrix.special_linear_group.det_ne_zero Matrix.SpecialLinearGroup.det_ne_zero
 
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 Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.row_ne_zero Matrix.SpecialLinearGroup.row_ne_zeroₓ'. -/
 theorem row_ne_zero [Nontrivial R] (g : SpecialLinearGroup n R) (i : n) : ↑ₘg i ≠ 0 := fun h =>
   g.det_ne_zero <| det_eq_zero_of_row_eq_zero i <| by simp [h]
@@ -249,10 +231,7 @@ def toLin' : SpecialLinearGroup n R →* (n → R) ≃ₗ[R] n → R
 -/
 
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_inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))))))) (fun (_x : MonoidHom.{max u1 u2, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))))))) => (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) -> (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (MonoidHom.hasCoeToFun.{max u1 u2, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R 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u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (n -> R) (AddMonoid.toAddZeroClass.{max u1 u2} (n -> R) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (n -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (n -> R) (AddMonoid.toZero.{max u1 u2} (n -> R) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (n -> R) (AddMonoid.toAddZeroClass.{max u1 u2} (n -> R) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (n -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, max u1 u2, max u1 u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) A) R (n -> R) (n -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (SemilinearMapClass.distribMulActionHomClass.{u2, max u1 u2, max u1 u2, max u1 u2} R (n -> R) (n -> R) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) A) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, max u1 u2, max u1 u2, max u1 u2} R R (n -> R) (n -> R) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R 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=> R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (fun (_x : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MulOneClass.toMul.{max u2 u1} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3))) (MulOneClass.toMul.{max u2 u1} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (MonoidHomClass.toMulHomClass.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R 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(CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => 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(CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (AddMonoid.toZero.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (AddMonoid.toAddZeroClass.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddMonoid.toZero.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddMonoid.toAddZeroClass.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, max u1 u2, max u1 u2} (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (SemilinearMapClass.distribMulActionHomClass.{u2, max u1 u2, max u1 u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, max u1 u2, max u1 u2, max u1 u2} R R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) 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(CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => 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+<too large>
 Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.to_lin'_apply Matrix.SpecialLinearGroup.toLin'_applyₓ'. -/
 theorem toLin'_apply (A : SpecialLinearGroup n R) (v : n → R) :
     SpecialLinearGroup.toLin' A v = Matrix.toLin' (↑ₘA) v :=
@@ -260,10 +239,7 @@ theorem toLin'_apply (A : SpecialLinearGroup n R) (v : n → R) :
 #align matrix.special_linear_group.to_lin'_apply Matrix.SpecialLinearGroup.toLin'_apply
 
 /- warning: matrix.special_linear_group.to_lin'_to_linear_map -> Matrix.SpecialLinearGroup.toLin'_to_linearMap is a dubious translation:
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_inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))))))) (fun (_x : MonoidHom.{max u1 u2, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))))))) => (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) -> (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (MonoidHom.hasCoeToFun.{max u1 u2, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) 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(x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MulOneClass.toMul.{max u2 u1} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3))) (MulOneClass.toMul.{max u2 u1} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (MonoidHomClass.toMulHomClass.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R 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NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (AddMonoid.toZero.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (AddMonoid.toAddZeroClass.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddMonoid.toZero.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddMonoid.toAddZeroClass.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, max u1 u2, max u1 u2} (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (SemilinearMapClass.distribMulActionHomClass.{u2, max u1 u2, max u1 u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, max u1 u2, max u1 u2, max u1 u2} R R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R 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A))
+<too large>
 Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.to_lin'_to_linear_map Matrix.SpecialLinearGroup.toLin'_to_linearMapₓ'. -/
 theorem toLin'_to_linearMap (A : SpecialLinearGroup n R) :
     ↑(SpecialLinearGroup.toLin' A) = Matrix.toLin' ↑ₘA :=
@@ -271,10 +247,7 @@ theorem toLin'_to_linearMap (A : SpecialLinearGroup n R) :
 #align matrix.special_linear_group.to_lin'_to_linear_map Matrix.SpecialLinearGroup.toLin'_to_linearMap
 
 /- warning: matrix.special_linear_group.to_lin'_symm_apply -> Matrix.SpecialLinearGroup.toLin'_symm_apply is a dubious translation:
-lean 3 declaration is
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R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))))))) (fun (_x : MonoidHom.{max u1 u2, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))))))) => (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) -> (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (MonoidHom.hasCoeToFun.{max u1 u2, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R 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n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u1 u2, max u1 u2} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.module.{u2, u2, u2, max u1 u2, max u1 u2} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} 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(CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R 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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.module.{u2, u2, u2, max u1 u2, max u1 u2} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R 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NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R 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(fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (SemilinearMapClass.distribMulActionHomClass.{u2, max u1 u2, max u1 u2, max u1 u2} R (n -> R) (n -> R) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, max u1 u2, max u1 u2, max u1 u2} R R (n -> R) (n -> R) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (LinearEquiv.symm.{u2, u2, max u1 u2, max u1 u2} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R 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=> NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MulOneClass.toMul.{max u2 u1} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3))) (MulOneClass.toMul.{max u2 u1} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (MonoidHomClass.toMulHomClass.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R 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(NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (AddMonoid.toZero.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (AddMonoid.toAddZeroClass.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddMonoid.toZero.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddMonoid.toAddZeroClass.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, max u1 u2, max u1 u2} (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (SemilinearMapClass.distribMulActionHomClass.{u2, max u1 u2, max u1 u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, max u1 u2, max u1 u2, max u1 u2} R R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => 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_inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (Matrix.toLin'.{u2, u1, u1} R (CommRing.toCommSemiring.{u2} R _inst_3) n n _inst_2 (fun (a 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+<too large>
 Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.to_lin'_symm_apply Matrix.SpecialLinearGroup.toLin'_symm_applyₓ'. -/
 theorem toLin'_symm_apply (A : SpecialLinearGroup n R) (v : n → R) :
     A.toLin'.symm v = Matrix.toLin' (↑ₘA⁻¹) v :=
@@ -282,10 +255,7 @@ theorem toLin'_symm_apply (A : SpecialLinearGroup n R) (v : n → R) :
 #align matrix.special_linear_group.to_lin'_symm_apply Matrix.SpecialLinearGroup.toLin'_symm_apply
 
 /- warning: matrix.special_linear_group.to_lin'_symm_to_linear_map -> Matrix.SpecialLinearGroup.toLin'_symm_to_linearMap is a dubious translation:
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(Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))))))) (fun (_x : MonoidHom.{max u1 u2, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))))))) => (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) -> (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (MonoidHom.hasCoeToFun.{max u1 u2, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) 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(AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (fun (_x : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MulOneClass.toMul.{max u2 u1} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3))) (MulOneClass.toMul.{max u2 u1} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (MonoidHomClass.toMulHomClass.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) 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(CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (AddMonoid.toZero.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (AddMonoid.toAddZeroClass.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddMonoid.toZero.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddMonoid.toAddZeroClass.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, max u1 u2, max u1 u2} (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (SemilinearMapClass.distribMulActionHomClass.{u2, max u1 u2, max u1 u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, max u1 u2, max u1 u2, max u1 u2} R R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R 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+<too large>
 Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.to_lin'_symm_to_linear_map Matrix.SpecialLinearGroup.toLin'_symm_to_linearMapₓ'. -/
 theorem toLin'_symm_to_linearMap (A : SpecialLinearGroup n R) :
     ↑A.toLin'.symm = Matrix.toLin' ↑ₘA⁻¹ :=
@@ -293,10 +263,7 @@ theorem toLin'_symm_to_linearMap (A : SpecialLinearGroup n R) :
 #align matrix.special_linear_group.to_lin'_symm_to_linear_map Matrix.SpecialLinearGroup.toLin'_symm_to_linearMap
 
 /- warning: matrix.special_linear_group.to_lin'_injective -> Matrix.SpecialLinearGroup.toLin'_injective is a dubious translation:
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(CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))))))) => (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) -> (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (MonoidHom.hasCoeToFun.{max u1 u2, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R 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(RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, max u1 u2} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) 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(RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MulOneClass.toMul.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3))) (MulOneClass.toMul.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (MonoidHomClass.toMulHomClass.{max u1 u2, max u1 u2, max u1 u2} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R 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: n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))))) (Matrix.SpecialLinearGroup.toLin'.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3))
+<too large>
 Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.to_lin'_injective Matrix.SpecialLinearGroup.toLin'_injectiveₓ'. -/
 theorem toLin'_injective :
     Function.Injective ⇑(toLin' : SpecialLinearGroup n R →* (n → R) ≃ₗ[R] n → R) := fun A B h =>
@@ -315,10 +282,7 @@ def toGL : SpecialLinearGroup n R →* GeneralLinearGroup R (n → R) :=
 #align matrix.special_linear_group.to_GL Matrix.SpecialLinearGroup.toGL
 
 /- warning: matrix.special_linear_group.coe_to_GL -> Matrix.SpecialLinearGroup.coe_toGL is a dubious translation:
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: n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))))))) (fun (_x : MonoidHom.{max u1 u2, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))))))) => (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) -> (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => 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n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Units.instMulOneClassUnits.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R 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(fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.End.monoid.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R 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Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => LinearMap.GeneralLinearGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearMap.GeneralLinearGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Units.instMulOneClassUnits.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.End.monoid.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearMap.GeneralLinearGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MulOneClass.toMul.{max u2 u1} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3))) (MulOneClass.toMul.{max u2 u1} (LinearMap.GeneralLinearGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Units.instMulOneClassUnits.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.End.monoid.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (MonoidHomClass.toMulHomClass.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearMap.GeneralLinearGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R 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(CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (fun (_x : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MulOneClass.toMul.{max u2 u1} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3))) (MulOneClass.toMul.{max u2 u1} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (MonoidHomClass.toMulHomClass.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (MonoidHom.monoidHomClass.{max u2 u1, max u2 u1} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} 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 Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.coe_to_GL Matrix.SpecialLinearGroup.coe_toGLₓ'. -/
 theorem coe_toGL (A : SpecialLinearGroup n R) : ↑A.toGL = A.toLin'.toLinearMap :=
   rfl
@@ -348,10 +312,7 @@ instance : Coe (SpecialLinearGroup n ℤ) (SpecialLinearGroup n R) :=
   ⟨fun x => map (Int.castRingHom R) x⟩
 
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 Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.coe_matrix_coe Matrix.SpecialLinearGroup.coe_matrix_coeₓ'. -/
 @[simp]
 theorem coe_matrix_coe (g : SpecialLinearGroup n ℤ) :
@@ -374,10 +335,7 @@ instance : Neg (SpecialLinearGroup n R) :=
         det_smul (↑ₘg) (-1)⟩⟩
 
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 Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.coe_neg Matrix.SpecialLinearGroup.coe_negₓ'. -/
 @[simp]
 theorem coe_neg (g : SpecialLinearGroup n R) : ↑(-g) = -(g : Matrix n n R) :=
@@ -388,10 +346,7 @@ instance : HasDistribNeg (SpecialLinearGroup n R) :=
   Function.Injective.hasDistribNeg _ Subtype.coe_injective coe_neg coe_mul
 
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n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) _inst_2 Int Int.instCommRingInt R _inst_3 (Int.castRingHom.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))) g))
+<too large>
 Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.coe_int_neg Matrix.SpecialLinearGroup.coe_int_negₓ'. -/
 @[simp]
 theorem coe_int_neg (g : SpecialLinearGroup n ℤ) : ↑(-g) = (-↑g : SpecialLinearGroup n R) :=
@@ -403,10 +358,7 @@ end Neg
 section SpecialCases
 
 /- warning: matrix.special_linear_group.SL2_inv_expl_det -> Matrix.SpecialLinearGroup.SL2_inv_expl_det is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.SL2_inv_expl_det Matrix.SpecialLinearGroup.SL2_inv_expl_detₓ'. -/
 theorem SL2_inv_expl_det (A : SL(2, R)) : det ![![A.1 1 1, -A.1 0 1], ![-A.1 1 0, A.1 0 0]] = 1 :=
   by
@@ -430,10 +382,7 @@ theorem SL2_inv_expl (A : SL(2, R)) :
 -/
 
 /- warning: matrix.special_linear_group.fin_two_induction -> Matrix.SpecialLinearGroup.fin_two_induction is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.fin_two_induction Matrix.SpecialLinearGroup.fin_two_inductionₓ'. -/
 theorem fin_two_induction (P : SL(2, R) → Prop)
     (h : ∀ (a b c d : R) (hdet : a * d - b * c = 1), P ⟨!![a, b; c, d], by rwa [det_fin_two_of]⟩)
@@ -444,10 +393,7 @@ theorem fin_two_induction (P : SL(2, R) → Prop)
 #align matrix.special_linear_group.fin_two_induction Matrix.SpecialLinearGroup.fin_two_induction
 
 /- warning: matrix.special_linear_group.fin_two_exists_eq_mk_of_apply_zero_one_eq_zero -> Matrix.SpecialLinearGroup.fin_two_exists_eq_mk_of_apply_zero_one_eq_zero is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.fin_two_exists_eq_mk_of_apply_zero_one_eq_zero Matrix.SpecialLinearGroup.fin_two_exists_eq_mk_of_apply_zero_one_eq_zeroₓ'. -/
 theorem fin_two_exists_eq_mk_of_apply_zero_one_eq_zero {R : Type _} [Field R] (g : SL(2, R))
     (hg : (g : Matrix (Fin 2) (Fin 2) R) 1 0 = 0) :
@@ -528,19 +474,13 @@ theorem coe_T : ↑ₘT = !![1, 1; 0, 1] :=
 -/
 
 /- warning: modular_group.coe_T_inv -> ModularGroup.coe_T_inv is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align modular_group.coe_T_inv ModularGroup.coe_T_invₓ'. -/
 theorem coe_T_inv : ↑ₘT⁻¹ = !![1, -1; 0, 1] := by simp [coe_inv, coe_T, adjugate_fin_two]
 #align modular_group.coe_T_inv ModularGroup.coe_T_inv
 
 /- warning: modular_group.coe_T_zpow -> ModularGroup.coe_T_zpow is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align modular_group.coe_T_zpow ModularGroup.coe_T_zpowₓ'. -/
 /- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `congrm #[[expr «expr!![ »(matrix.notation [expr _, ",", expr _, ";", expr _, ",", expr _, "]"] [])]] -/
 /- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `congrm #[[expr «expr!![ »(matrix.notation [expr _, ",", expr _, ";", expr _, ",", expr _, "]"] [])]] -/
@@ -559,10 +499,7 @@ theorem coe_T_zpow (n : ℤ) : ↑ₘ(T ^ n) = !![1, n; 0, 1] :=
 #align modular_group.coe_T_zpow ModularGroup.coe_T_zpow
 
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(HMul.hMul.{0, 0, 0} (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int Int.commRing) (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int Int.commRing) (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int Int.commRing) (instHMul.{0} (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} 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ModularGroup.T n) g) (OfNat.ofNat.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 1 (OfNat.mk.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 1 (One.one.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Fin.hasOneOfNeZero (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)) (CharZero.NeZero.two.{0} Nat (AddCommMonoidWithOne.toAddMonoidWithOne.{0} Nat (NonAssocSemiring.toAddCommMonoidWithOne.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (StrictOrderedSemiring.to_charZero.{0} Nat Nat.strictOrderedSemiring))))))) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat 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+<too large>
 Case conversion may be inaccurate. Consider using '#align modular_group.T_pow_mul_apply_one ModularGroup.T_pow_mul_apply_oneₓ'. -/
 @[simp]
 theorem T_pow_mul_apply_one (n : ℤ) (g : SL(2, ℤ)) : ↑ₘ(T ^ n * g) 1 = ↑ₘg 1 := by
@@ -570,10 +507,7 @@ theorem T_pow_mul_apply_one (n : ℤ) (g : SL(2, ℤ)) : ↑ₘ(T ^ n * g) 1 = 
 #align modular_group.T_pow_mul_apply_one ModularGroup.T_pow_mul_apply_one
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align modular_group.T_mul_apply_one ModularGroup.T_mul_apply_oneₓ'. -/
 @[simp]
 theorem T_mul_apply_one (g : SL(2, ℤ)) : ↑ₘ(T * g) 1 = ↑ₘg 1 := by
@@ -581,10 +515,7 @@ theorem T_mul_apply_one (g : SL(2, ℤ)) : ↑ₘ(T * g) 1 = ↑ₘg 1 := by
 #align modular_group.T_mul_apply_one ModularGroup.T_mul_apply_one
 
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-but is expected to have type
-  forall (g : Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) Int Int.instCommRingInt), Eq.{1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> Int) (Subtype.val.{1} (Matrix.{0, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) Int) (fun (A : Matrix.{0, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) Int) => Eq.{1} Int (Matrix.det.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => (fun (a : Fin 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(CommRing.toCommSemiring.{0} Int Int.instCommRingInt)))))) g (OfNat.ofNat.{0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) 1 (Fin.instOfNatFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) 1 (NeZero.succ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align modular_group.T_inv_mul_apply_one ModularGroup.T_inv_mul_apply_oneₓ'. -/
 @[simp]
 theorem T_inv_mul_apply_one (g : SL(2, ℤ)) : ↑ₘ(T⁻¹ * g) 1 = ↑ₘg 1 := by

mathlib commit https://github.com/leanprover-community/mathlib/commit/ef95945cd48c932c9e034872bd25c3c220d9c946

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Anne Baanen
 
 ! This file was ported from Lean 3 source module linear_algebra.matrix.special_linear_group
-! leanprover-community/mathlib commit f06058e64b7e8397234455038f3f8aec83aaba5a
+! leanprover-community/mathlib commit 61db041ab8e4aaf8cb5c7dc10a7d4ff261997536
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -15,6 +15,9 @@ import Mathbin.LinearAlgebra.Matrix.ToLin
 /-!
 # The Special Linear group $SL(n, R)$
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This file defines the elements of the Special Linear group `special_linear_group n R`, consisting
 of all square `R`-matrices with determinant `1` on the fintype `n` by `n`.  In addition, we define
 the group structure on `special_linear_group n R` and the embedding into the general linear group

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

@@ -249,7 +249,7 @@ def toLin' : SpecialLinearGroup n R →* (n → R) ≃ₗ[R] n → R
 lean 3 declaration is
   forall {n : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] {R : Type.{u2}} [_inst_3 : CommRing.{u2} R] (A : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (v : n -> R), Eq.{max (succ u1) (succ u2)} (n -> R) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (_x : LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) => (n -> R) -> n -> R) (LinearEquiv.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} R R (n -> R) (n -> R) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3)) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (MonoidHom.{max u1 u2, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))))))) (fun (_x : MonoidHom.{max u1 u2, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))))))) => (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) -> (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (MonoidHom.hasCoeToFun.{max u1 u2, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R 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(Matrix.toLin'._proof_3.{u2, u1} R (CommRing.toCommSemiring.{u2} R _inst_3) n))) (fun (_x : LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Matrix.toLin'._proof_1.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.toLin'._proof_2.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u1 u2, max u1 u2} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.module.{u2, u2, u2, max u1 u2, max u1 u2} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Matrix.toLin'._proof_3.{u2, u1} R (CommRing.toCommSemiring.{u2} R _inst_3) n))) => (Matrix.{u1, u1, u2} n n R) -> (LinearMap.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R 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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearEquiv.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} R R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u1 u2, max u1 u2} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.module.{u2, u2, u2, max u1 u2, max u1 u2} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Matrix.toLin'._proof_3.{u2, u1} R (CommRing.toCommSemiring.{u2} R _inst_3) n)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Matrix.toLin'._proof_1.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.toLin'._proof_2.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.toLin'.{u2, u1, u1} R (CommRing.toCommSemiring.{u2} R _inst_3) n n _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) ((fun (a : Type.{max u1 u2}) (b : Type.{max u1 u2}) [self : HasLiftT.{succ (max u1 u2), succ (max u1 u2)} a b] => self.0) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.{u1, u1, u2} n n R) (HasLiftT.mk.{succ (max u1 u2), succ (max u1 u2)} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.{u1, u1, u2} n n R) (CoeTCₓ.coe.{succ (max u1 u2), succ (max u1 u2)} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.{u1, u1, u2} n n R) (coeBase.{succ (max u1 u2), succ (max u1 u2)} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.{u1, u1, u2} n n R) (Matrix.SpecialLinearGroup.hasCoeToMatrix.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)))) A)) v)
 but is expected to have type
-  forall {n : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] {R : Type.{u2}} [_inst_3 : CommRing.{u2} R] (A : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (v : n -> R), Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : n -> R) => n -> R) v) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) A) (n -> R) (fun (_x : n -> R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : n -> R) => n -> R) _x) (SMulHomClass.toFunLike.{max u1 u2, u2, max u1 u2, max u1 u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) A) R (n -> R) (n -> R) (SMulZeroClass.toSMul.{u2, max u1 u2} R (n -> R) (AddMonoid.toZero.{max u1 u2} (n -> R) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (n -> R) (AddMonoid.toAddZeroClass.{max u1 u2} (n -> R) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (n -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (n -> R) (AddMonoid.toZero.{max u1 u2} (n -> R) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (n -> R) (AddMonoid.toAddZeroClass.{max u1 u2} (n -> R) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (n -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, max u1 u2, max u1 u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) A) R (n -> R) (n -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) 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(CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R 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(fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MulOneClass.toMul.{max u2 u1} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3))) (MulOneClass.toMul.{max u2 u1} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (MonoidHomClass.toMulHomClass.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R 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(CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (MonoidHom.monoidHomClass.{max u2 u1, max u2 u1} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R 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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.{u1, u1, u2} n n R) (fun (_x : Matrix.{u1, u1, u2} n n R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Matrix.{u1, u1, u2} n n R) => LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) _x) (SMulHomClass.toFunLike.{max u1 u2, u2, max u1 u2, max u1 u2} (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (AddMonoid.toZero.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (AddMonoid.toAddZeroClass.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddMonoid.toZero.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddMonoid.toAddZeroClass.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, max u1 u2, max u1 u2} (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (SemilinearMapClass.distribMulActionHomClass.{u2, max u1 u2, max u1 u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, max u1 u2, max u1 u2, max u1 u2} R R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (Matrix.toLin'.{u2, u1, u1} R (CommRing.toCommSemiring.{u2} R _inst_3) n n _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Subtype.val.{max (succ u1) (succ u2)} (Matrix.{u1, u1, u2} n n R) (fun (A : Matrix.{u1, u1, u2} n n R) => Eq.{succ u2} R (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) a b) _inst_2 R _inst_3 A) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) A)) v)
+  forall {n : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] {R : Type.{u2}} [_inst_3 : CommRing.{u2} R] (A : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (v : n -> R), Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : n -> R) => n -> R) v) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) A) (n -> R) (fun (_x : n -> R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : n -> R) => n -> R) _x) (SMulHomClass.toFunLike.{max u1 u2, u2, max u1 u2, max u1 u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) A) R (n -> R) (n -> R) (SMulZeroClass.toSMul.{u2, max u1 u2} R (n -> R) (AddMonoid.toZero.{max u1 u2} (n -> R) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (n -> R) (AddMonoid.toAddZeroClass.{max u1 u2} (n -> R) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (n -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (n -> R) (AddMonoid.toZero.{max u1 u2} (n -> R) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (n -> R) (AddMonoid.toAddZeroClass.{max u1 u2} (n -> R) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (n -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, max u1 u2, max u1 u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) A) R (n -> R) (n -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (SemilinearMapClass.distribMulActionHomClass.{u2, max u1 u2, max u1 u2, max u1 u2} R (n -> R) (n -> R) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : 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R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, 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_inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (fun (_x : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MulOneClass.toMul.{max u2 u1} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3))) (MulOneClass.toMul.{max u2 u1} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (MonoidHomClass.toMulHomClass.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (MonoidHom.monoidHomClass.{max u2 u1, max u2 u1} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) 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(CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.{u1, u1, u2} n n R) (fun (_x : Matrix.{u1, u1, u2} n n R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Matrix.{u1, u1, u2} n n R) => LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) _x) (SMulHomClass.toFunLike.{max u1 u2, u2, max u1 u2, max u1 u2} (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (AddMonoid.toZero.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (AddMonoid.toAddZeroClass.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddMonoid.toZero.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddMonoid.toAddZeroClass.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, max u1 u2, max u1 u2} (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (SemilinearMapClass.distribMulActionHomClass.{u2, max u1 u2, max u1 u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, max u1 u2, max u1 u2, max u1 u2} R R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (Matrix.toLin'.{u2, u1, u1} R (CommRing.toCommSemiring.{u2} R _inst_3) n n _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Subtype.val.{max (succ u1) (succ u2)} (Matrix.{u1, u1, u2} n n R) (fun (A : Matrix.{u1, u1, u2} n n R) => Eq.{succ u2} R (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) a b) _inst_2 R _inst_3 A) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) A)) v)
 Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.to_lin'_apply Matrix.SpecialLinearGroup.toLin'_applyₓ'. -/
 theorem toLin'_apply (A : SpecialLinearGroup n R) (v : n → R) :
     SpecialLinearGroup.toLin' A v = Matrix.toLin' (↑ₘA) v :=
@@ -260,7 +260,7 @@ theorem toLin'_apply (A : SpecialLinearGroup n R) (v : n → R) :
 lean 3 declaration is
   forall {n : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] {R : Type.{u2}} [_inst_3 : CommRing.{u2} R] (A : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3), Eq.{succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R 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(CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R 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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R 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_inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u1 u2, max u1 u2} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R 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R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) 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_inst_2 (fun (a : n) (b : n) => _inst_1 a b)) ((fun (a : Type.{max u1 u2}) (b : Type.{max u1 u2}) [self : HasLiftT.{succ (max u1 u2), succ (max u1 u2)} a b] => self.0) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.{u1, u1, u2} n n R) (HasLiftT.mk.{succ (max u1 u2), succ (max u1 u2)} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.{u1, u1, u2} n n R) (CoeTCₓ.coe.{succ (max u1 u2), succ (max u1 u2)} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.{u1, u1, u2} n n R) (coeBase.{succ (max u1 u2), succ (max u1 u2)} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.{u1, u1, u2} n n R) (Matrix.SpecialLinearGroup.hasCoeToMatrix.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)))) A))
 but is expected to have type
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(Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (fun (_x : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MulOneClass.toMul.{max u2 u1} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3))) (MulOneClass.toMul.{max u2 u1} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (MonoidHomClass.toMulHomClass.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (MonoidHom.monoidHomClass.{max u2 u1, max u2 u1} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} 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(CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.{u1, u1, u2} n n R) (fun (_x : Matrix.{u1, u1, u2} n n R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Matrix.{u1, u1, u2} n n R) => LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) _x) (SMulHomClass.toFunLike.{max u1 u2, u2, max u1 u2, max u1 u2} (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (AddMonoid.toZero.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (AddMonoid.toAddZeroClass.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddMonoid.toZero.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddMonoid.toAddZeroClass.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, max u1 u2, max u1 u2} (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (SemilinearMapClass.distribMulActionHomClass.{u2, max u1 u2, max u1 u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, max u1 u2, max u1 u2, max u1 u2} R R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (Matrix.toLin'.{u2, u1, u1} R (CommRing.toCommSemiring.{u2} R _inst_3) n n _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Subtype.val.{max (succ u1) (succ u2)} (Matrix.{u1, u1, u2} n n R) (fun (A : Matrix.{u1, u1, u2} n n R) => Eq.{succ u2} R (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) a b) _inst_2 R _inst_3 A) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) A))
+  forall {n : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] {R : Type.{u2}} [_inst_3 : CommRing.{u2} R] (A : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3), Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Matrix.{u1, u1, u2} n n R) => LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (FunLike.coe.{max (succ u2) (succ u1), max (succ u2) (succ u1), max (succ u2) (succ u1)} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R 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(Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (fun (_x : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MulOneClass.toMul.{max u2 u1} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3))) (MulOneClass.toMul.{max u2 u1} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (MonoidHomClass.toMulHomClass.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (MonoidHom.monoidHomClass.{max u2 u1, max u2 u1} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} 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(CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.{u1, u1, u2} n n R) (fun (_x : Matrix.{u1, u1, u2} n n R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Matrix.{u1, u1, u2} n n R) => LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) _x) (SMulHomClass.toFunLike.{max u1 u2, u2, max u1 u2, max u1 u2} (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (AddMonoid.toZero.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (AddMonoid.toAddZeroClass.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddMonoid.toZero.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddMonoid.toAddZeroClass.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, max u1 u2, max u1 u2} (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (SemilinearMapClass.distribMulActionHomClass.{u2, max u1 u2, max u1 u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, max u1 u2, max u1 u2, max u1 u2} R R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (Matrix.toLin'.{u2, u1, u1} R (CommRing.toCommSemiring.{u2} R _inst_3) n n _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Subtype.val.{max (succ u1) (succ u2)} (Matrix.{u1, u1, u2} n n R) (fun (A : Matrix.{u1, u1, u2} n n R) => Eq.{succ u2} R (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) a b) _inst_2 R _inst_3 A) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) A))
 Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.to_lin'_to_linear_map Matrix.SpecialLinearGroup.toLin'_to_linearMapₓ'. -/
 theorem toLin'_to_linearMap (A : SpecialLinearGroup n R) :
     ↑(SpecialLinearGroup.toLin' A) = Matrix.toLin' ↑ₘA :=
@@ -271,7 +271,7 @@ theorem toLin'_to_linearMap (A : SpecialLinearGroup n R) :
 lean 3 declaration is
   forall {n : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] {R : Type.{u2}} [_inst_3 : CommRing.{u2} R] (A : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (v : n -> R), Eq.{max (succ u1) (succ u2)} (n -> R) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} 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NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} 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(CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u1 u2, max u1 u2} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R 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(CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.module.{u2, u2, u2, max u1 u2, max u1 u2} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Matrix.toLin'._proof_3.{u2, u1} R (CommRing.toCommSemiring.{u2} R _inst_3) n)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Matrix.toLin'._proof_1.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.toLin'._proof_2.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.toLin'.{u2, u1, u1} R (CommRing.toCommSemiring.{u2} R _inst_3) n n _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) ((fun (a : Type.{max u1 u2}) (b : Type.{max u1 u2}) [self : HasLiftT.{succ (max u1 u2), succ (max u1 u2)} a b] => self.0) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.{u1, u1, u2} n n R) (HasLiftT.mk.{succ (max u1 u2), succ (max u1 u2)} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.{u1, u1, u2} n n R) (CoeTCₓ.coe.{succ (max u1 u2), succ (max u1 u2)} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.{u1, u1, u2} n n R) (coeBase.{succ (max u1 u2), succ (max u1 u2)} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.{u1, u1, u2} n n R) (Matrix.SpecialLinearGroup.hasCoeToMatrix.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)))) (Inv.inv.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.hasInv.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) A))) v)
 but is expected to have type
-  forall {n : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] {R : Type.{u2}} [_inst_3 : CommRing.{u2} R] (A : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (v : n -> R), Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : n -> R) => n -> R) v) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) 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=> NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (n -> R) (fun (_x : n -> R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : n -> R) => n -> R) _x) (SMulHomClass.toFunLike.{max u1 u2, u2, max u1 u2, max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) R (n -> R) (n -> R) (SMulZeroClass.toSMul.{u2, max u1 u2} R (n -> R) (AddMonoid.toZero.{max u1 u2} (n -> R) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (n -> R) (AddMonoid.toAddZeroClass.{max u1 u2} (n -> R) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (n -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (n -> R) (AddMonoid.toZero.{max u1 u2} (n -> R) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (n -> R) (AddMonoid.toAddZeroClass.{max u1 u2} (n -> R) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (n -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, max u1 u2, max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) R (n -> R) (n -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (SemilinearMapClass.distribMulActionHomClass.{u2, max u1 u2, max u1 u2, max u1 u2} R (n -> R) (n -> R) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, max u1 u2, max u1 u2, max u1 u2} R R (n -> R) (n -> R) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R 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(a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R 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(NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (fun (_x : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MulOneClass.toMul.{max u2 u1} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3))) (MulOneClass.toMul.{max u2 u1} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (MonoidHomClass.toMulHomClass.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (MonoidHom.monoidHomClass.{max u2 u1, max u2 u1} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R 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(CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.{u1, u1, u2} n n R) (fun (_x : Matrix.{u1, u1, u2} n n R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Matrix.{u1, u1, u2} n n R) => LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) _x) (SMulHomClass.toFunLike.{max u1 u2, u2, max u1 u2, max u1 u2} (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (AddMonoid.toZero.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (AddMonoid.toAddZeroClass.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddMonoid.toZero.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddMonoid.toAddZeroClass.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, max u1 u2, max u1 u2} (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (SemilinearMapClass.distribMulActionHomClass.{u2, max u1 u2, max u1 u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, max u1 u2, max u1 u2, max u1 u2} R R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (Matrix.toLin'.{u2, u1, u1} R (CommRing.toCommSemiring.{u2} R _inst_3) n n _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Subtype.val.{max (succ u1) (succ u2)} (Matrix.{u1, u1, u2} n n R) (fun (A : Matrix.{u1, u1, u2} n n R) => Eq.{succ u2} R (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) a b) _inst_2 R _inst_3 A) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Inv.inv.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.hasInv.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) A))) v)
+  forall {n : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] {R : Type.{u2}} [_inst_3 : CommRing.{u2} R] (A : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (v : n -> R), Eq.{max (succ u1) (succ u2)} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : n -> R) => n -> R) v) (FunLike.coe.{max (succ u1) (succ u2), max (succ u1) (succ u2), max (succ u1) (succ u2)} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) 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=> NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (n -> R) (fun (_x : n -> R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : n -> R) => n -> R) _x) 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(NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) R (n -> R) (n -> R) (SMulZeroClass.toSMul.{u2, max u1 u2} R (n -> R) (AddMonoid.toZero.{max u1 u2} (n -> R) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (n -> R) (AddMonoid.toAddZeroClass.{max u1 u2} (n -> R) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (n -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (n -> R) (AddMonoid.toZero.{max u1 u2} (n -> R) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (n -> R) (AddMonoid.toAddZeroClass.{max u1 u2} (n -> R) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (n -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, max u1 u2, max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) R (n -> R) (n -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (SemilinearMapClass.distribMulActionHomClass.{u2, max u1 u2, max u1 u2, max u1 u2} R (n -> R) (n -> R) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, max u1 u2, max u1 u2, max u1 u2} R R (n -> R) (n -> R) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => 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(CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R 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(Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (fun (_x : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MulOneClass.toMul.{max u2 u1} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3))) (MulOneClass.toMul.{max u2 u1} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (MonoidHomClass.toMulHomClass.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (MonoidHom.monoidHomClass.{max u2 u1, max u2 u1} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R 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(CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.{u1, u1, u2} n n R) (fun (_x : Matrix.{u1, u1, u2} n n R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Matrix.{u1, u1, u2} n n R) => LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) _x) (SMulHomClass.toFunLike.{max u1 u2, u2, max u1 u2, max u1 u2} (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (AddMonoid.toZero.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (AddMonoid.toAddZeroClass.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddMonoid.toZero.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddMonoid.toAddZeroClass.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, max u1 u2, max u1 u2} (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (SemilinearMapClass.distribMulActionHomClass.{u2, max u1 u2, max u1 u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, max u1 u2, max u1 u2, max u1 u2} R R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (Matrix.toLin'.{u2, u1, u1} R (CommRing.toCommSemiring.{u2} R _inst_3) n n _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Subtype.val.{max (succ u1) (succ u2)} (Matrix.{u1, u1, u2} n n R) (fun (A : Matrix.{u1, u1, u2} n n R) => Eq.{succ u2} R (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) a b) _inst_2 R _inst_3 A) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Inv.inv.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.hasInv.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) A))) v)
 Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.to_lin'_symm_apply Matrix.SpecialLinearGroup.toLin'_symm_applyₓ'. -/
 theorem toLin'_symm_apply (A : SpecialLinearGroup n R) (v : n → R) :
     A.toLin'.symm v = Matrix.toLin' (↑ₘA⁻¹) v :=
@@ -282,7 +282,7 @@ theorem toLin'_symm_apply (A : SpecialLinearGroup n R) (v : n → R) :
 lean 3 declaration is
   forall {n : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] {R : Type.{u2}} [_inst_3 : CommRing.{u2} R] (A : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3), Eq.{succ (max u1 u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) ((fun (a : Type.{max u1 u2}) (b : Type.{max u1 u2}) [self : HasLiftT.{succ (max u1 u2), succ (max u1 u2)} a b] => self.0) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (LinearMap.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) 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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.module.{u2, u2, u2, max u1 u2, max u1 u2} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Matrix.toLin'._proof_3.{u2, u1} R (CommRing.toCommSemiring.{u2} R _inst_3) n))) (fun (_x : LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Matrix.toLin'._proof_1.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.toLin'._proof_2.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u1 u2, max u1 u2} R R (n -> R) (n -> R) 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(CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.module.{u2, u2, u2, max u1 u2, max u1 u2} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Matrix.toLin'._proof_3.{u2, u1} R (CommRing.toCommSemiring.{u2} R _inst_3) n))) => (Matrix.{u1, u1, u2} n n R) -> (LinearMap.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearEquiv.hasCoeToFun.{u2, u2, max u1 u2, max u1 u2} R R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R 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_inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} 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 but is expected to have type
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(Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (fun (_x : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MulOneClass.toMul.{max u2 u1} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3))) (MulOneClass.toMul.{max u2 u1} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (MonoidHomClass.toMulHomClass.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R 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(CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (MonoidHom.monoidHomClass.{max u2 u1, max u2 u1} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) 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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.{u1, u1, u2} n n R) (fun (_x : Matrix.{u1, u1, u2} n n R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Matrix.{u1, u1, u2} n n R) => LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) _x) (SMulHomClass.toFunLike.{max u1 u2, u2, max u1 u2, max u1 u2} (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (AddMonoid.toZero.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (AddMonoid.toAddZeroClass.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddMonoid.toZero.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddMonoid.toAddZeroClass.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, max u1 u2, max u1 u2} (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (SemilinearMapClass.distribMulActionHomClass.{u2, max u1 u2, max u1 u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, max u1 u2, max u1 u2, max u1 u2} R R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R 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u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (Matrix.toLin'.{u2, u1, u1} R (CommRing.toCommSemiring.{u2} R _inst_3) n n _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Subtype.val.{max (succ u1) (succ u2)} (Matrix.{u1, u1, u2} n n R) (fun (A : Matrix.{u1, u1, u2} n n R) => Eq.{succ u2} R (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) a b) _inst_2 R _inst_3 A) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Inv.inv.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.hasInv.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) A)))
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_inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) 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(NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MulOneClass.toMul.{max u2 u1} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3))) (MulOneClass.toMul.{max u2 u1} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (MonoidHomClass.toMulHomClass.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R 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(Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.{u1, u1, u2} n n R) (fun (_x : Matrix.{u1, u1, u2} n n R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : Matrix.{u1, u1, u2} n n R) => LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) _x) (SMulHomClass.toFunLike.{max u1 u2, u2, max u1 u2, max u1 u2} (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (AddMonoid.toZero.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (AddMonoid.toAddZeroClass.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddMonoid.toZero.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddMonoid.toAddZeroClass.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, max u1 u2, max u1 u2} (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (SemilinearMapClass.distribMulActionHomClass.{u2, max u1 u2, max u1 u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, max u1 u2, max u1 u2, max u1 u2} R R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R 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(NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (Matrix.toLin'.{u2, u1, u1} R (CommRing.toCommSemiring.{u2} R _inst_3) n n _inst_2 (fun (a : n) (b : n) => _inst_1 a b)) (Subtype.val.{max (succ u1) (succ u2)} (Matrix.{u1, u1, u2} n n R) (fun (A : Matrix.{u1, u1, u2} n n R) => Eq.{succ u2} R (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) a b) _inst_2 R _inst_3 A) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Inv.inv.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.hasInv.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) A)))
 Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.to_lin'_symm_to_linear_map Matrix.SpecialLinearGroup.toLin'_symm_to_linearMapₓ'. -/
 theorem toLin'_symm_to_linearMap (A : SpecialLinearGroup n R) :
     ↑A.toLin'.symm = Matrix.toLin' ↑ₘA⁻¹ :=

mathlib commit https://github.com/leanprover-community/mathlib/commit/75e7fca56381d056096ce5d05e938f63a6567828

@@ -65,11 +65,13 @@ section
 
 variable (n : Type u) [DecidableEq n] [Fintype n] (R : Type v) [CommRing R]
 
+#print Matrix.SpecialLinearGroup /-
 /-- `special_linear_group n R` is the group of `n` by `n` `R`-matrices with determinant equal to 1.
 -/
 def SpecialLinearGroup :=
   { A : Matrix n n R // A.det = 1 }
 #align matrix.special_linear_group Matrix.SpecialLinearGroup
+-/
 
 end
 
@@ -80,9 +82,11 @@ namespace SpecialLinearGroup
 
 variable {n : Type u} [DecidableEq n] [Fintype n] {R : Type v} [CommRing R]
 
+#print Matrix.SpecialLinearGroup.hasCoeToMatrix /-
 instance hasCoeToMatrix : Coe (SpecialLinearGroup n R) (Matrix n n R) :=
   ⟨fun A => A.val⟩
 #align matrix.special_linear_group.has_coe_to_matrix Matrix.SpecialLinearGroup.hasCoeToMatrix
+-/
 
 -- mathport name: «expr↑ₘ »
 /- In this file, Lean often has a hard time working out the values of `n` and `R` for an expression
@@ -92,26 +96,36 @@ verbose, or `A.val` which is not the simp-normal form for subtypes, we create a
 notation. -/
 local prefix:1024 "↑ₘ" => @coe _ (Matrix n n R) _
 
+#print Matrix.SpecialLinearGroup.ext_iff /-
 theorem ext_iff (A B : SpecialLinearGroup n R) : A = B ↔ ∀ i j, ↑ₘA i j = ↑ₘB i j :=
   Subtype.ext_iff.trans Matrix.ext_iff.symm
 #align matrix.special_linear_group.ext_iff Matrix.SpecialLinearGroup.ext_iff
+-/
 
+#print Matrix.SpecialLinearGroup.ext /-
 @[ext]
 theorem ext (A B : SpecialLinearGroup n R) : (∀ i j, ↑ₘA i j = ↑ₘB i j) → A = B :=
   (SpecialLinearGroup.ext_iff A B).mpr
 #align matrix.special_linear_group.ext Matrix.SpecialLinearGroup.ext
+-/
 
+#print Matrix.SpecialLinearGroup.hasInv /-
 instance hasInv : Inv (SpecialLinearGroup n R) :=
   ⟨fun A => ⟨adjugate A, by rw [det_adjugate, A.prop, one_pow]⟩⟩
 #align matrix.special_linear_group.has_inv Matrix.SpecialLinearGroup.hasInv
+-/
 
+#print Matrix.SpecialLinearGroup.hasMul /-
 instance hasMul : Mul (SpecialLinearGroup n R) :=
   ⟨fun A B => ⟨A.1 ⬝ B.1, by erw [det_mul, A.2, B.2, one_mul]⟩⟩
 #align matrix.special_linear_group.has_mul Matrix.SpecialLinearGroup.hasMul
+-/
 
+#print Matrix.SpecialLinearGroup.hasOne /-
 instance hasOne : One (SpecialLinearGroup n R) :=
   ⟨⟨1, det_one⟩⟩
 #align matrix.special_linear_group.has_one Matrix.SpecialLinearGroup.hasOne
+-/
 
 instance : Pow (SpecialLinearGroup n R) ℕ
     where pow x n := ⟨x ^ n, (det_pow _ _).trans <| x.Prop.symm ▸ one_pow _⟩
@@ -123,42 +137,86 @@ section CoeLemmas
 
 variable (A B : SpecialLinearGroup n R)
 
+/- warning: matrix.special_linear_group.coe_mk -> Matrix.SpecialLinearGroup.coe_mk is a dubious translation:
+lean 3 declaration is
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 @[simp]
 theorem coe_mk (A : Matrix n n R) (h : det A = 1) : ↑(⟨A, h⟩ : SpecialLinearGroup n R) = A :=
   rfl
 #align matrix.special_linear_group.coe_mk Matrix.SpecialLinearGroup.coe_mk
 
+#print Matrix.SpecialLinearGroup.coe_inv /-
 @[simp]
 theorem coe_inv : ↑ₘA⁻¹ = adjugate A :=
   rfl
 #align matrix.special_linear_group.coe_inv Matrix.SpecialLinearGroup.coe_inv
+-/
 
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 @[simp]
 theorem coe_mul : ↑ₘ(A * B) = ↑ₘA ⬝ ↑ₘB :=
   rfl
 #align matrix.special_linear_group.coe_mul Matrix.SpecialLinearGroup.coe_mul
 
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 @[simp]
 theorem coe_one : ↑ₘ(1 : SpecialLinearGroup n R) = (1 : Matrix n n R) :=
   rfl
 #align matrix.special_linear_group.coe_one Matrix.SpecialLinearGroup.coe_one
 
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 @[simp]
 theorem det_coe : det ↑ₘA = 1 :=
   A.2
 #align matrix.special_linear_group.det_coe Matrix.SpecialLinearGroup.det_coe
 
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 @[simp]
 theorem coe_pow (m : ℕ) : ↑ₘ(A ^ m) = ↑ₘA ^ m :=
   rfl
 #align matrix.special_linear_group.coe_pow Matrix.SpecialLinearGroup.coe_pow
 
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 theorem det_ne_zero [Nontrivial R] (g : SpecialLinearGroup n R) : det ↑ₘg ≠ 0 :=
   by
   rw [g.det_coe]
   norm_num
 #align matrix.special_linear_group.det_ne_zero Matrix.SpecialLinearGroup.det_ne_zero
 
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 theorem row_ne_zero [Nontrivial R] (g : SpecialLinearGroup n R) (i : n) : ↑ₘg i ≠ 0 := fun h =>
   g.det_ne_zero <| det_eq_zero_of_row_eq_zero i <| by simp [h]
 #align matrix.special_linear_group.row_ne_zero Matrix.SpecialLinearGroup.row_ne_zero
@@ -174,6 +232,7 @@ instance : Group (SpecialLinearGroup n R) :=
       ext1
       simp [adjugate_mul] }
 
+#print Matrix.SpecialLinearGroup.toLin' /-
 /-- A version of `matrix.to_lin' A` that produces linear equivalences. -/
 def toLin' : SpecialLinearGroup n R →* (n → R) ≃ₗ[R] n → R
     where
@@ -184,43 +243,87 @@ def toLin' : SpecialLinearGroup n R →* (n → R) ≃ₗ[R] n → R
   map_one' := LinearEquiv.toLinearMap_injective Matrix.toLin'_one
   map_mul' A B := LinearEquiv.toLinearMap_injective <| Matrix.toLin'_mul A B
 #align matrix.special_linear_group.to_lin' Matrix.SpecialLinearGroup.toLin'
+-/
 
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(CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (_x : LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => 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(Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3)) (coeFn.{succ (max u1 u2), succ (max u1 u2)} (MonoidHom.{max u1 u2, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} 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(Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R 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(Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))))))) (fun (_x : MonoidHom.{max u1 u2, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))))))) => (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) -> (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (MonoidHom.hasCoeToFun.{max u1 u2, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) 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(CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R 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+but is expected to have type
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(fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, max u1 u2, max u1 u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) A) R (n -> R) (n -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun 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R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, 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_inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (fun (_x : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MulOneClass.toMul.{max u2 u1} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3))) (MulOneClass.toMul.{max u2 u1} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (MonoidHomClass.toMulHomClass.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (MonoidHom.monoidHomClass.{max u2 u1, max u2 u1} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) 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(CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.{u1, u1, u2} n n R) (fun (_x : Matrix.{u1, u1, u2} n n R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Matrix.{u1, u1, u2} n n R) => LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) _x) (SMulHomClass.toFunLike.{max u1 u2, u2, max u1 u2, max u1 u2} (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (AddMonoid.toZero.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (AddMonoid.toAddZeroClass.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddMonoid.toZero.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddMonoid.toAddZeroClass.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, max u1 u2, max u1 u2} (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (SemilinearMapClass.distribMulActionHomClass.{u2, max u1 u2, max u1 u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, max u1 u2, max u1 u2, max u1 u2} R R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R 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: n) (b : n) => _inst_1 a b)) (Subtype.val.{max (succ u1) (succ u2)} (Matrix.{u1, u1, u2} n n R) (fun (A : Matrix.{u1, u1, u2} n n R) => Eq.{succ u2} R (Matrix.det.{u2, u1} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) a b) _inst_2 R _inst_3 A) (OfNat.ofNat.{u2} R 1 (One.toOfNat1.{u2} R (Semiring.toOne.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) A)) v)
+Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.to_lin'_apply Matrix.SpecialLinearGroup.toLin'_applyₓ'. -/
 theorem toLin'_apply (A : SpecialLinearGroup n R) (v : n → R) :
     SpecialLinearGroup.toLin' A v = Matrix.toLin' (↑ₘA) v :=
   rfl
 #align matrix.special_linear_group.to_lin'_apply Matrix.SpecialLinearGroup.toLin'_apply
 
+/- warning: matrix.special_linear_group.to_lin'_to_linear_map -> Matrix.SpecialLinearGroup.toLin'_to_linearMap is a dubious translation:
+lean 3 declaration is
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(CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R 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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R 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_inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u1 u2, max u1 u2} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R 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R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (fun (_x : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MulOneClass.toMul.{max u2 u1} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3))) (MulOneClass.toMul.{max u2 u1} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (MonoidHomClass.toMulHomClass.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (MonoidHom.monoidHomClass.{max u2 u1, max u2 u1} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} 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(CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.{u1, u1, u2} n n R) (fun (_x : Matrix.{u1, u1, u2} n n R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Matrix.{u1, u1, u2} n n R) => LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) _x) (SMulHomClass.toFunLike.{max u1 u2, u2, max u1 u2, max u1 u2} (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (AddMonoid.toZero.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (AddMonoid.toAddZeroClass.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddMonoid.toZero.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddMonoid.toAddZeroClass.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, max u1 u2, max u1 u2} (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (SemilinearMapClass.distribMulActionHomClass.{u2, max u1 u2, max u1 u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, max u1 u2, max u1 u2, max u1 u2} R R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R 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+Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.to_lin'_to_linear_map Matrix.SpecialLinearGroup.toLin'_to_linearMapₓ'. -/
 theorem toLin'_to_linearMap (A : SpecialLinearGroup n R) :
     ↑(SpecialLinearGroup.toLin' A) = Matrix.toLin' ↑ₘA :=
   rfl
 #align matrix.special_linear_group.to_lin'_to_linear_map Matrix.SpecialLinearGroup.toLin'_to_linearMap
 
+/- warning: matrix.special_linear_group.to_lin'_symm_apply -> Matrix.SpecialLinearGroup.toLin'_symm_apply is a dubious translation:
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(SMulHomClass.toFunLike.{max u1 u2, u2, max u1 u2, max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) R (n -> R) (n -> R) (SMulZeroClass.toSMul.{u2, max u1 u2} R (n -> R) (AddMonoid.toZero.{max u1 u2} (n -> R) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (n -> R) (AddMonoid.toAddZeroClass.{max u1 u2} (n -> R) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (n -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (n -> R) (AddMonoid.toZero.{max u1 u2} (n -> R) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (n -> R) (AddMonoid.toAddZeroClass.{max u1 u2} (n -> R) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (n -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, max u1 u2, max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) R (n -> R) (n -> R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (SemilinearMapClass.distribMulActionHomClass.{u2, max u1 u2, max u1 u2, max u1 u2} R (n -> R) (n -> R) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, max u1 u2, max u1 u2, max u1 u2} R R (n -> R) (n -> R) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R 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(a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R 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(NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (fun (_x : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MulOneClass.toMul.{max u2 u1} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3))) (MulOneClass.toMul.{max u2 u1} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (MonoidHomClass.toMulHomClass.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (MonoidHom.monoidHomClass.{max u2 u1, max u2 u1} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R 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(CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.{u1, u1, u2} n n R) (fun (_x : Matrix.{u1, u1, u2} n n R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Matrix.{u1, u1, u2} n n R) => LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) _x) (SMulHomClass.toFunLike.{max u1 u2, u2, max u1 u2, max u1 u2} (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (AddMonoid.toZero.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (AddMonoid.toAddZeroClass.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddMonoid.toZero.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddMonoid.toAddZeroClass.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, max u1 u2, max u1 u2} (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (SemilinearMapClass.distribMulActionHomClass.{u2, max u1 u2, max u1 u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, max u1 u2, max u1 u2, max u1 u2} R R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (LinearEquiv.instSemilinearEquivClassLinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun 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+Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.to_lin'_symm_apply Matrix.SpecialLinearGroup.toLin'_symm_applyₓ'. -/
 theorem toLin'_symm_apply (A : SpecialLinearGroup n R) (v : n → R) :
     A.toLin'.symm v = Matrix.toLin' (↑ₘA⁻¹) v :=
   rfl
 #align matrix.special_linear_group.to_lin'_symm_apply Matrix.SpecialLinearGroup.toLin'_symm_apply
 
+/- warning: matrix.special_linear_group.to_lin'_symm_to_linear_map -> Matrix.SpecialLinearGroup.toLin'_symm_to_linearMap is a dubious translation:
+lean 3 declaration is
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(NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u1 u2, max u1 u2} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R 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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.module.{u2, u2, u2, max u1 u2, max u1 u2} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) 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(Pi.Function.module.{u1, u2, u2} n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Matrix.toLin'._proof_3.{u2, u1} R (CommRing.toCommSemiring.{u2} R _inst_3) n))) => (Matrix.{u1, u1, u2} n n R) -> (LinearMap.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 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(Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MulOneClass.toMul.{max u2 u1} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3))) (MulOneClass.toMul.{max u2 u1} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (MonoidHomClass.toMulHomClass.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R 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(CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (MonoidHom.monoidHomClass.{max u2 u1, max u2 u1} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun 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(NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.{u1, u1, u2} n n R) (fun (_x : Matrix.{u1, u1, u2} n n R) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : Matrix.{u1, u1, u2} n n R) => LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) _x) (SMulHomClass.toFunLike.{max u1 u2, u2, max u1 u2, max u1 u2} (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (AddMonoid.toZero.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (AddMonoid.toAddZeroClass.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (Module.toDistribMulAction.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SMulZeroClass.toSMul.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddMonoid.toZero.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (DistribSMul.toSMulZeroClass.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddMonoid.toAddZeroClass.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (DistribMulAction.toDistribSMul.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u2, u2, max u1 u2, max u1 u2} (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MonoidWithZero.toMonoid.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (AddCommMonoid.toAddMonoid.{max u1 u2} (Matrix.{u1, u1, u2} n n R) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (AddCommMonoid.toAddMonoid.{max u1 u2} (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Module.toDistribMulAction.{u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.toDistribMulAction.{u2, max u1 u2} R (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (SemilinearMapClass.distribMulActionHomClass.{u2, max u1 u2, max u1 u2, max u1 u2} R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (SemilinearEquivClass.instSemilinearMapClass.{u2, u2, max u1 u2, max u1 u2, max u1 u2} R R (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R 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(CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (Matrix.{u1, u1, u2} n n R) (LinearMap.{u2, u2, max u2 u1, max u2 u1} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.smulCommClass.{u1, u2, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R R (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => Algebra.toSMul.{u2, u2} R R (CommRing.toCommSemiring.{u2} R _inst_3) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Algebra.id.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (fun (i : n) => smulCommClass_self.{u2, u2} R R (CommSemiring.toCommMonoid.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (MulActionWithZero.toMulAction.{u2, u2} R R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (MonoidWithZero.toMulActionWithZero.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Matrix.addCommMonoid.{u2, u1, u1} n n R (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (LinearMap.addCommMonoid.{u2, u2, max u2 u1, max u2 u1} R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Matrix.module.{u2, u1, u1, u2} n n R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (LinearMap.instModuleLinearMapAddCommMonoid.{u2, u2, u2, max u2 u1, max u2 u1} R R R (n -> R) (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2099 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.ToLin._hyg.2102 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R 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+Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.to_lin'_symm_to_linear_map Matrix.SpecialLinearGroup.toLin'_symm_to_linearMapₓ'. -/
 theorem toLin'_symm_to_linearMap (A : SpecialLinearGroup n R) :
     ↑A.toLin'.symm = Matrix.toLin' ↑ₘA⁻¹ :=
   rfl
 #align matrix.special_linear_group.to_lin'_symm_to_linear_map Matrix.SpecialLinearGroup.toLin'_symm_to_linearMap
 
+/- warning: matrix.special_linear_group.to_lin'_injective -> Matrix.SpecialLinearGroup.toLin'_injective is a dubious translation:
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AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))))))) (fun (_x : MonoidHom.{max u1 u2, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))))))) => (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) -> (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R 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(CommRing.toRing.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.toLin'.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3))
+but is expected to have type
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(CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => 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(NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (fun (_x : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) _x) (MulHomClass.toFunLike.{max u1 u2, max u1 u2, max u1 u2} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MulOneClass.toMul.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3))) (MulOneClass.toMul.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (MonoidHomClass.toMulHomClass.{max u1 u2, max u1 u2, max u1 u2} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (MonoidHom.monoidHomClass.{max u1 u2, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} 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+Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.to_lin'_injective Matrix.SpecialLinearGroup.toLin'_injectiveₓ'. -/
 theorem toLin'_injective :
     Function.Injective ⇑(toLin' : SpecialLinearGroup n R →* (n → R) ≃ₗ[R] n → R) := fun A B h =>
   Subtype.coe_injective <| Matrix.toLin'.Injective <| LinearEquiv.toLinearMap_injective.eq_iff.mpr h
 #align matrix.special_linear_group.to_lin'_injective Matrix.SpecialLinearGroup.toLin'_injective
 
+/- warning: matrix.special_linear_group.to_GL -> Matrix.SpecialLinearGroup.toGL is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.to_GL Matrix.SpecialLinearGroup.toGLₓ'. -/
 /-- `to_GL` is the map from the special linear group to the general linear group -/
 def toGL : SpecialLinearGroup n R →* GeneralLinearGroup R (n → R) :=
   (GeneralLinearGroup.generalLinearEquiv _ _).symm.toMonoidHom.comp toLin'
 #align matrix.special_linear_group.to_GL Matrix.SpecialLinearGroup.toGL
 
+/- warning: matrix.special_linear_group.coe_to_GL -> Matrix.SpecialLinearGroup.coe_toGL is a dubious translation:
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(Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))))))) => (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) -> (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (MonoidHom.hasCoeToFun.{max u1 u2, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Matrix.SpecialLinearGroup.toLin'._proof_1.{u2} R _inst_3) (Matrix.SpecialLinearGroup.toLin'._proof_2.{u2} R _inst_3) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.Function.module.{u1, u2, u2} n R R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3)) (AddCommGroup.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toAddCommGroup.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (Semiring.toModule.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.toLin'.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) A))
+but is expected to have type
+  forall {n : Type.{u1}} [_inst_1 : DecidableEq.{succ u1} n] [_inst_2 : Fintype.{u1} n] {R : Type.{u2}} [_inst_3 : CommRing.{u2} R] (A : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3), Eq.{max (succ u1) (succ u2)} (LinearMap.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R 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(LinearMap.GeneralLinearGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MulOneClass.toMul.{max u2 u1} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3))) (MulOneClass.toMul.{max u2 u1} (LinearMap.GeneralLinearGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Units.instMulOneClassUnits.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.End.monoid.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (MonoidHomClass.toMulHomClass.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearMap.GeneralLinearGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Units.instMulOneClassUnits.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.End.monoid.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearMap.GeneralLinearGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Units.instMulOneClassUnits.{max u1 u2} (LinearMap.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Module.End.monoid.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))) (MonoidHom.monoidHomClass.{max u2 u1, max u2 u1} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearMap.GeneralLinearGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3925 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) 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_inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (fun (_x : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) => LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) _x) (MulHomClass.toFunLike.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (MulOneClass.toMul.{max u2 u1} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3))) (MulOneClass.toMul.{max u2 u1} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (MonoidHomClass.toMulHomClass.{max u2 u1, max u2 u1, max u2 u1} (MonoidHom.{max u2 u1, max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))))))) (MonoidHom.monoidHomClass.{max u2 u1, max u2 u1} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3)) (Monoid.toMulOneClass.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (ᾰ : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (DivInvMonoid.toMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (Group.toDivInvMonoid.{max u1 u2} (LinearEquiv.{u2, u2, max u1 u2, max u1 u2} R R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHom.id.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (RingHomInvPair.ids.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))) (n -> R) (n -> R) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))) (LinearEquiv.automorphismGroup.{u2, max u1 u2} R (n -> R) (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (Pi.addCommMonoid.{u1, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))))) (Pi.module.{u1, u2, u2} n (fun (a._@.Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup._hyg.3496 : n) => R) R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3)) (fun (i : n) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} R (NonAssocRing.toNonUnitalNonAssocRing.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3))))) (fun (i : n) => Semiring.toModule.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_3))))))))))) (Matrix.SpecialLinearGroup.toLin'.{u1, u2} n (fun (a : n) (b : n) => _inst_1 a b) _inst_2 R _inst_3) A))
+Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.coe_to_GL Matrix.SpecialLinearGroup.coe_toGLₓ'. -/
 theorem coe_toGL (A : SpecialLinearGroup n R) : ↑A.toGL = A.toLin'.toLinearMap :=
   rfl
 #align matrix.special_linear_group.coe_to_GL Matrix.SpecialLinearGroup.coe_toGL
 
 variable {S : Type _} [CommRing S]
 
+#print Matrix.SpecialLinearGroup.map /-
 /-- A ring homomorphism from `R` to `S` induces a group homomorphism from
 `special_linear_group n R` to `special_linear_group n S`. -/
 @[simps]
@@ -233,6 +336,7 @@ def map (f : R →+* S) : SpecialLinearGroup n R →* SpecialLinearGroup n S
   map_one' := Subtype.ext <| f.mapMatrix.map_one
   map_mul' x y := Subtype.ext <| f.mapMatrix.map_mul x y
 #align matrix.special_linear_group.map Matrix.SpecialLinearGroup.map
+-/
 
 section cast
 
@@ -240,6 +344,12 @@ section cast
 instance : Coe (SpecialLinearGroup n ℤ) (SpecialLinearGroup n R) :=
   ⟨fun x => map (Int.castRingHom R) x⟩
 
+/- warning: matrix.special_linear_group.coe_matrix_coe -> Matrix.SpecialLinearGroup.coe_matrix_coe is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.coe_matrix_coe Matrix.SpecialLinearGroup.coe_matrix_coeₓ'. -/
 @[simp]
 theorem coe_matrix_coe (g : SpecialLinearGroup n ℤ) :
     ↑(g : SpecialLinearGroup n R) = (↑g : Matrix n n ℤ).map (Int.castRingHom R) :=
@@ -260,6 +370,12 @@ instance : Neg (SpecialLinearGroup n R) :=
       simpa [(Fact.out <| Even <| Fintype.card n).neg_one_pow, g.det_coe] using
         det_smul (↑ₘg) (-1)⟩⟩
 
+/- warning: matrix.special_linear_group.coe_neg -> Matrix.SpecialLinearGroup.coe_neg is a dubious translation:
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 @[simp]
 theorem coe_neg (g : SpecialLinearGroup n R) : ↑(-g) = -(g : Matrix n n R) :=
   rfl
@@ -268,6 +384,12 @@ theorem coe_neg (g : SpecialLinearGroup n R) : ↑(-g) = -(g : Matrix n n R) :=
 instance : HasDistribNeg (SpecialLinearGroup n R) :=
   Function.Injective.hasDistribNeg _ Subtype.coe_injective coe_neg coe_mul
 
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=> Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) _inst_2 R _inst_3) a) (MulHomClass.toFunLike.{max u2 u1, u1, max u2 u1} (MonoidHom.{u1, max u2 u1} (Matrix.SpecialLinearGroup.{u1, 0} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) _inst_2 Int Int.instCommRingInt) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) _inst_2 R _inst_3) (Monoid.toMulOneClass.{u1} (Matrix.SpecialLinearGroup.{u1, 0} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) _inst_2 Int Int.instCommRingInt) (Matrix.SpecialLinearGroup.monoid.{u1, 0} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) _inst_2 Int Int.instCommRingInt)) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) _inst_2 R _inst_3))) (Matrix.SpecialLinearGroup.{u1, 0} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) _inst_2 Int Int.instCommRingInt) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) _inst_2 R _inst_3) (MulOneClass.toMul.{u1} (Matrix.SpecialLinearGroup.{u1, 0} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) _inst_2 Int Int.instCommRingInt) (Monoid.toMulOneClass.{u1} (Matrix.SpecialLinearGroup.{u1, 0} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) _inst_2 Int Int.instCommRingInt) (Matrix.SpecialLinearGroup.monoid.{u1, 0} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) _inst_2 Int Int.instCommRingInt))) (MulOneClass.toMul.{max u2 u1} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) _inst_2 R _inst_3) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) _inst_2 R _inst_3))) (MonoidHomClass.toMulHomClass.{max u2 u1, u1, max u2 u1} (MonoidHom.{u1, max u2 u1} (Matrix.SpecialLinearGroup.{u1, 0} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) _inst_2 Int Int.instCommRingInt) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) _inst_2 R _inst_3) (Monoid.toMulOneClass.{u1} (Matrix.SpecialLinearGroup.{u1, 0} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) _inst_2 Int Int.instCommRingInt) (Matrix.SpecialLinearGroup.monoid.{u1, 0} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) _inst_2 Int Int.instCommRingInt)) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) _inst_2 R _inst_3))) (Matrix.SpecialLinearGroup.{u1, 0} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) _inst_2 Int Int.instCommRingInt) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) _inst_2 R _inst_3) (Monoid.toMulOneClass.{u1} (Matrix.SpecialLinearGroup.{u1, 0} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) _inst_2 Int Int.instCommRingInt) (Matrix.SpecialLinearGroup.monoid.{u1, 0} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) _inst_2 Int Int.instCommRingInt)) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) _inst_2 R _inst_3)) (MonoidHom.monoidHomClass.{u1, max u2 u1} (Matrix.SpecialLinearGroup.{u1, 0} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) _inst_2 Int Int.instCommRingInt) (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) _inst_2 R _inst_3) (Monoid.toMulOneClass.{u1} (Matrix.SpecialLinearGroup.{u1, 0} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) _inst_2 Int Int.instCommRingInt) (Matrix.SpecialLinearGroup.monoid.{u1, 0} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) _inst_2 Int Int.instCommRingInt)) (Monoid.toMulOneClass.{max u1 u2} (Matrix.SpecialLinearGroup.{u1, u2} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) _inst_2 R _inst_3) (Matrix.SpecialLinearGroup.monoid.{u1, u2} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) _inst_2 R _inst_3))))) (Matrix.SpecialLinearGroup.map.{u1, 0, u2} n (fun (a : n) (b : n) => (fun (a : n) (b : n) => _inst_1 a b) a b) _inst_2 Int Int.instCommRingInt R _inst_3 (Int.castRingHom.{u2} R (Ring.toNonAssocRing.{u2} R (CommRing.toRing.{u2} R _inst_3)))) g))
+Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.coe_int_neg Matrix.SpecialLinearGroup.coe_int_negₓ'. -/
 @[simp]
 theorem coe_int_neg (g : SpecialLinearGroup n ℤ) : ↑(-g) = (-↑g : SpecialLinearGroup n R) :=
   Subtype.ext <| (@RingHom.mapMatrix n _ _ _ _ _ _ (Int.castRingHom R)).map_neg ↑g
@@ -277,6 +399,12 @@ end Neg
 
 section SpecialCases
 
+/- warning: matrix.special_linear_group.SL2_inv_expl_det -> Matrix.SpecialLinearGroup.SL2_inv_expl_det is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} [_inst_3 : CommRing.{u1} R] (A : Matrix.SpecialLinearGroup.{0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) R _inst_3), Eq.{succ u1} R (Matrix.det.{u1, 0} (Fin (Nat.succ (Nat.succ (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))))) (fun (a : Fin (Nat.succ (Nat.succ (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))))) (b : Fin (Nat.succ (Nat.succ (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))))) => Fin.decidableEq (Nat.succ (Nat.succ (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))))) a b) (Fin.fintype (Nat.succ (Nat.succ (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))))) R _inst_3 (Matrix.vecCons.{u1} ((Fin (Nat.succ (Nat.succ (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))))) -> R) (Nat.succ (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) (Matrix.vecCons.{u1} R (Nat.succ (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero)))) (Subtype.val.{succ u1} (Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) R) (fun (A : Matrix.{0, 0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) R) => Eq.{succ u1} R (Matrix.det.{u1, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) R _inst_3 A) (OfNat.ofNat.{u1} R 1 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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.SL2_inv_expl_det Matrix.SpecialLinearGroup.SL2_inv_expl_detₓ'. -/
 theorem SL2_inv_expl_det (A : SL(2, R)) : det ![![A.1 1 1, -A.1 0 1], ![-A.1 1 0, A.1 0 0]] = 1 :=
   by
   rw [Matrix.det_fin_two, mul_comm]
@@ -286,6 +414,7 @@ theorem SL2_inv_expl_det (A : SL(2, R)) : det ![![A.1 1 1, -A.1 0 1], ![-A.1 1 0
   convert this
 #align matrix.special_linear_group.SL2_inv_expl_det Matrix.SpecialLinearGroup.SL2_inv_expl_det
 
+#print Matrix.SpecialLinearGroup.SL2_inv_expl /-
 theorem SL2_inv_expl (A : SL(2, R)) :
     A⁻¹ = ⟨![![A.1 1 1, -A.1 0 1], ![-A.1 1 0, A.1 0 0]], SL2_inv_expl_det A⟩ :=
   by
@@ -295,7 +424,14 @@ theorem SL2_inv_expl (A : SL(2, R)) :
   rw [coe_inv, this]
   rfl
 #align matrix.special_linear_group.SL2_inv_expl Matrix.SpecialLinearGroup.SL2_inv_expl
+-/
 
+/- warning: matrix.special_linear_group.fin_two_induction -> Matrix.SpecialLinearGroup.fin_two_induction is a dubious translation:
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+but is expected to have type
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_inst_3))))))) (HSub.hSub.{u1, u1, u1} R R R (instHSub.{u1} R (Ring.toSub.{u1} R (CommRing.toRing.{u1} R _inst_3))) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (NonUnitalNonAssocRing.toMul.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3))))) a d) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (NonUnitalNonAssocRing.toMul.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_3))))) b c)) (Matrix.det_fin_two_of.{u1} R _inst_3 a b c d))) hdet))) -> (forall (g : Matrix.SpecialLinearGroup.{0, u1} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) R _inst_3), P g)
+Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.fin_two_induction Matrix.SpecialLinearGroup.fin_two_inductionₓ'. -/
 theorem fin_two_induction (P : SL(2, R) → Prop)
     (h : ∀ (a b c d : R) (hdet : a * d - b * c = 1), P ⟨!![a, b; c, d], by rwa [det_fin_two_of]⟩)
     (g : SL(2, R)) : P g := by
@@ -304,6 +440,12 @@ theorem fin_two_induction (P : SL(2, R) → Prop)
   ext (i j); fin_cases i <;> fin_cases j <;> rfl
 #align matrix.special_linear_group.fin_two_induction Matrix.SpecialLinearGroup.fin_two_induction
 
+/- warning: matrix.special_linear_group.fin_two_exists_eq_mk_of_apply_zero_one_eq_zero -> Matrix.SpecialLinearGroup.fin_two_exists_eq_mk_of_apply_zero_one_eq_zero is a dubious translation:
+lean 3 declaration is
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R (Field.toDivisionRing.{u1} R _inst_5))))))))))) False (iff_false_intro (Eq.{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 (DivisionRing.toRing.{u1} R (Field.toDivisionRing.{u1} R _inst_5))))))))))) h)))) (propext (Not False) True not_false_iff))) True.intro)) (HMul.hMul.{u1, u1, u1} R R R (instHMul.{u1} R (Distrib.toHasMul.{u1} R (Ring.toDistrib.{u1} R (CommRing.toRing.{u1} R (EuclideanDomain.toCommRing.{u1} R (Field.toEuclideanDomain.{u1} R _inst_5)))))) b (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 (DivisionRing.toRing.{u1} R 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(eq_self_iff_true.{succ u1} R (OfNat.ofNat.{u1} R 1 (OfNat.mk.{u1} R 1 (One.one.{u1} R (MulOneClass.toHasOne.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (GroupWithZero.toMonoidWithZero.{u1} R (DivisionSemiring.toGroupWithZero.{u1} R (Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R _inst_5)))))))))))))) trivial))))))
+but is expected to have type
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(Semifield.toDivisionSemiring.{u1} R (Field.toSemifield.{u1} R _inst_5))))))))))))))))
+Case conversion may be inaccurate. Consider using '#align matrix.special_linear_group.fin_two_exists_eq_mk_of_apply_zero_one_eq_zero Matrix.SpecialLinearGroup.fin_two_exists_eq_mk_of_apply_zero_one_eq_zeroₓ'. -/
 theorem fin_two_exists_eq_mk_of_apply_zero_one_eq_zero {R : Type _} [Field R] (g : SL(2, R))
     (hg : (g : Matrix (Fin 2) (Fin 2) R) 1 0 = 0) :
     ∃ (a b : R)(h : a ≠ 0), g = (⟨!![a, b; 0, a⁻¹], by simp [h]⟩ : SL(2, R)) :=
@@ -343,35 +485,63 @@ open Matrix Matrix.SpecialLinearGroup
 -- mathport name: «expr↑ₘ »
 local prefix:1024 "↑ₘ" => @coe _ (Matrix (Fin 2) (Fin 2) ℤ) _
 
+/- warning: modular_group.S -> ModularGroup.S is a dubious translation:
+lean 3 declaration is
+  Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int Int.commRing
+but is expected to have type
+  Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) Int Int.instCommRingInt
+Case conversion may be inaccurate. Consider using '#align modular_group.S ModularGroup.Sₓ'. -/
 /-- The matrix `S = [[0, -1], [1, 0]]` as an element of `SL(2, ℤ)`.
 
 This element acts naturally on the Euclidean plane as a rotation about the origin by `π / 2`.
 
 This element also acts naturally on the hyperbolic plane as rotation about `i` by `π`. It
 represents the Mobiüs transformation `z ↦ -1/z` and is an involutive elliptic isometry. -/
-def s : SL(2, ℤ) :=
+def S : SL(2, ℤ) :=
   ⟨!![0, -1; 1, 0], by norm_num [Matrix.det_fin_two_of] ⟩
-#align modular_group.S ModularGroup.s
-
+#align modular_group.S ModularGroup.S
+
+/- warning: modular_group.T -> ModularGroup.T is a dubious translation:
+lean 3 declaration is
+  Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int Int.commRing
+but is expected to have type
+  Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) Int Int.instCommRingInt
+Case conversion may be inaccurate. Consider using '#align modular_group.T ModularGroup.Tₓ'. -/
 /-- The matrix `T = [[1, 1], [0, 1]]` as an element of `SL(2, ℤ)` -/
-def t : SL(2, ℤ) :=
+def T : SL(2, ℤ) :=
   ⟨!![1, 1; 0, 1], by norm_num [Matrix.det_fin_two_of] ⟩
-#align modular_group.T ModularGroup.t
+#align modular_group.T ModularGroup.T
 
-theorem coe_s : ↑ₘs = !![0, -1; 1, 0] :=
+#print ModularGroup.coe_S /-
+theorem coe_S : ↑ₘS = !![0, -1; 1, 0] :=
   rfl
-#align modular_group.coe_S ModularGroup.coe_s
+#align modular_group.coe_S ModularGroup.coe_S
+-/
 
-theorem coe_t : ↑ₘt = !![1, 1; 0, 1] :=
+#print ModularGroup.coe_T /-
+theorem coe_T : ↑ₘT = !![1, 1; 0, 1] :=
   rfl
-#align modular_group.coe_T ModularGroup.coe_t
-
-theorem coe_t_inv : ↑ₘt⁻¹ = !![1, -1; 0, 1] := by simp [coe_inv, coe_T, adjugate_fin_two]
-#align modular_group.coe_T_inv ModularGroup.coe_t_inv
+#align modular_group.coe_T ModularGroup.coe_T
+-/
 
+/- warning: modular_group.coe_T_inv -> ModularGroup.coe_T_inv 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 modular_group.coe_T_inv ModularGroup.coe_T_invₓ'. -/
+theorem coe_T_inv : ↑ₘT⁻¹ = !![1, -1; 0, 1] := by simp [coe_inv, coe_T, adjugate_fin_two]
+#align modular_group.coe_T_inv ModularGroup.coe_T_inv
+
+/- warning: modular_group.coe_T_zpow -> ModularGroup.coe_T_zpow is a dubious translation:
+lean 3 declaration is
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2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int) (CoeTCₓ.coe.{1, 1} (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int Int.commRing) (Matrix.{0, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int) (coeBase.{1, 1} (Matrix.SpecialLinearGroup.{0, 0} (Fin 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Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int Int.commRing) Int (DivInvMonoid.Pow.{0} (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat 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(bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int Int.commRing)))) ModularGroup.T n)) (coeFn.{1, 1} (Equiv.{1, 1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> Int) (Matrix.{0, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int)) (fun (_x : Equiv.{1, 1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> Int) (Matrix.{0, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int)) => ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> Int) -> (Matrix.{0, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int)) (Equiv.hasCoeToFun.{1, 1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> Int) (Matrix.{0, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int)) (Matrix.of.{0, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int) (Matrix.vecCons.{0} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> Int) (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))) (Matrix.vecCons.{0} Int (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))) (OfNat.ofNat.{0} Int 1 (OfNat.mk.{0} Int 1 (One.one.{0} Int Int.hasOne))) (Matrix.vecCons.{0} Int (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))) n (Matrix.vecEmpty.{0} Int))) (Matrix.vecCons.{0} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> Int) (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))) (Matrix.vecCons.{0} Int (OfNat.ofNat.{0} Nat 1 (OfNat.mk.{0} Nat 1 (One.one.{0} Nat Nat.hasOne))) (OfNat.ofNat.{0} Int 0 (OfNat.mk.{0} Int 0 (Zero.zero.{0} Int Int.hasZero))) (Matrix.vecCons.{0} Int (OfNat.ofNat.{0} Nat 0 (OfNat.mk.{0} Nat 0 (Zero.zero.{0} Nat Nat.hasZero))) (OfNat.ofNat.{0} Int 1 (OfNat.mk.{0} Int 1 (One.one.{0} Int Int.hasOne))) (Matrix.vecEmpty.{0} Int))) (Matrix.vecEmpty.{0} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> Int)))))
+but is expected to have type
+  forall (n : Int), Eq.{1} (Matrix.{0, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) Int) (Subtype.val.{1} (Matrix.{0, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) Int) (fun (A : Matrix.{0, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) Int) => Eq.{1} Int (Matrix.det.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) a b) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) Int Int.instCommRingInt A) (OfNat.ofNat.{0} Int 1 (One.toOfNat1.{0} Int (Semiring.toOne.{0} Int (CommSemiring.toSemiring.{0} Int (CommRing.toCommSemiring.{0} Int Int.instCommRingInt)))))) (HPow.hPow.{0, 0, 0} (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) Int Int.instCommRingInt) Int (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) Int Int.instCommRingInt) (instHPow.{0, 0} (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) Int Int.instCommRingInt) Int (DivInvMonoid.Pow.{0} (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) Int Int.instCommRingInt) (Group.toDivInvMonoid.{0} (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) Int Int.instCommRingInt) (Matrix.SpecialLinearGroup.instGroupSpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) Int Int.instCommRingInt)))) ModularGroup.T n)) (FunLike.coe.{1, 1, 1} (Equiv.{1, 1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> Int) (Matrix.{0, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) Int)) ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> Int) (fun (_x : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> Int) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> Int) => Matrix.{0, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) Int) _x) (Equiv.instFunLikeEquiv.{1, 1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> Int) (Matrix.{0, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) Int)) (Matrix.of.{0, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) Int) (Matrix.vecCons.{0} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> Int) (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) (Matrix.vecCons.{0} Int (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) (OfNat.ofNat.{0} Int 1 (instOfNatInt 1)) (Matrix.vecCons.{0} Int (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) n (Matrix.vecEmpty.{0} Int))) (Matrix.vecCons.{0} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> Int) (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) (Matrix.vecCons.{0} Int (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)) (OfNat.ofNat.{0} Int 0 (instOfNatInt 0)) (Matrix.vecCons.{0} Int (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) (OfNat.ofNat.{0} Int 1 (instOfNatInt 1)) (Matrix.vecEmpty.{0} Int))) (Matrix.vecEmpty.{0} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> Int)))))
+Case conversion may be inaccurate. Consider using '#align modular_group.coe_T_zpow ModularGroup.coe_T_zpowₓ'. -/
 /- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `congrm #[[expr «expr!![ »(matrix.notation [expr _, ",", expr _, ";", expr _, ",", expr _, "]"] [])]] -/
 /- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `congrm #[[expr «expr!![ »(matrix.notation [expr _, ",", expr _, ";", expr _, ",", expr _, "]"] [])]] -/
-theorem coe_t_zpow (n : ℤ) : ↑ₘ(t ^ n) = !![1, n; 0, 1] :=
+theorem coe_T_zpow (n : ℤ) : ↑ₘ(T ^ n) = !![1, n; 0, 1] :=
   by
   induction' n using Int.induction_on with n h n h
   · rw [zpow_zero, coe_one, Matrix.one_fin_two]
@@ -383,22 +553,40 @@ theorem coe_t_zpow (n : ℤ) : ↑ₘ(t ^ n) = !![1, n; 0, 1] :=
     trace
         "./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `congrm #[[expr «expr!![ »(matrix.notation [expr _, \",\", expr _, \";\", expr _, \",\", expr _, \"]\"] [])]]" <;>
       ring
-#align modular_group.coe_T_zpow ModularGroup.coe_t_zpow
-
+#align modular_group.coe_T_zpow ModularGroup.coe_T_zpow
+
+/- warning: modular_group.T_pow_mul_apply_one -> ModularGroup.T_pow_mul_apply_one is a dubious translation:
+lean 3 declaration is
+  forall (n : Int) (g : Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int Int.commRing), Eq.{1} ((Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) -> Int) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin 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(HMul.hMul.{0, 0, 0} (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int Int.commRing) (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int Int.commRing) (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int Int.commRing) (instHMul.{0} (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int Int.commRing) (Matrix.SpecialLinearGroup.hasMul.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int Int.commRing)) (HPow.hPow.{0, 0, 0} (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int Int.commRing) Int (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int Int.commRing) (instHPow.{0, 0} (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int Int.commRing) Int (DivInvMonoid.Pow.{0} (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int Int.commRing) (Group.toDivInvMonoid.{0} (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int Int.commRing) (Matrix.SpecialLinearGroup.group.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int Int.commRing)))) ModularGroup.T n) g) (OfNat.ofNat.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 1 (OfNat.mk.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 1 (One.one.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Fin.hasOneOfNeZero (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)) (CharZero.NeZero.two.{0} Nat (AddCommMonoidWithOne.toAddMonoidWithOne.{0} Nat (NonAssocSemiring.toAddCommMonoidWithOne.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (StrictOrderedSemiring.to_charZero.{0} Nat Nat.strictOrderedSemiring))))))) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int Int.commRing) (Matrix.{0, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int) (HasLiftT.mk.{1, 1} (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int Int.commRing) (Matrix.{0, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int) (CoeTCₓ.coe.{1, 1} (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int Int.commRing) (Matrix.{0, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int) (coeBase.{1, 1} (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int Int.commRing) (Matrix.{0, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int) (Matrix.SpecialLinearGroup.hasCoeToMatrix.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int Int.commRing)))) g (OfNat.ofNat.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 1 (OfNat.mk.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 1 (One.one.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Fin.hasOneOfNeZero (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)) (CharZero.NeZero.two.{0} Nat (AddCommMonoidWithOne.toAddMonoidWithOne.{0} Nat (NonAssocSemiring.toAddCommMonoidWithOne.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (StrictOrderedSemiring.to_charZero.{0} Nat Nat.strictOrderedSemiring)))))))
+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align modular_group.T_pow_mul_apply_one ModularGroup.T_pow_mul_apply_oneₓ'. -/
 @[simp]
-theorem t_pow_mul_apply_one (n : ℤ) (g : SL(2, ℤ)) : ↑ₘ(t ^ n * g) 1 = ↑ₘg 1 := by
+theorem T_pow_mul_apply_one (n : ℤ) (g : SL(2, ℤ)) : ↑ₘ(T ^ n * g) 1 = ↑ₘg 1 := by
   simp [coe_T_zpow, Matrix.mul, Matrix.dotProduct, Fin.sum_univ_succ]
-#align modular_group.T_pow_mul_apply_one ModularGroup.t_pow_mul_apply_one
-
+#align modular_group.T_pow_mul_apply_one ModularGroup.T_pow_mul_apply_one
+
+/- warning: modular_group.T_mul_apply_one -> ModularGroup.T_mul_apply_one 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 modular_group.T_mul_apply_one ModularGroup.T_mul_apply_oneₓ'. -/
 @[simp]
-theorem t_mul_apply_one (g : SL(2, ℤ)) : ↑ₘ(t * g) 1 = ↑ₘg 1 := by
+theorem T_mul_apply_one (g : SL(2, ℤ)) : ↑ₘ(T * g) 1 = ↑ₘg 1 := by
   simpa using T_pow_mul_apply_one 1 g
-#align modular_group.T_mul_apply_one ModularGroup.t_mul_apply_one
-
+#align modular_group.T_mul_apply_one ModularGroup.T_mul_apply_one
+
+/- warning: modular_group.T_inv_mul_apply_one -> ModularGroup.T_inv_mul_apply_one is a dubious translation:
+lean 3 declaration is
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Nat.hasOne)))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int Int.commRing)) (Inv.inv.{0} (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int Int.commRing) (Matrix.SpecialLinearGroup.hasInv.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int Int.commRing) ModularGroup.T) g) (OfNat.ofNat.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 1 (OfNat.mk.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 1 (One.one.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Fin.hasOneOfNeZero (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)) (CharZero.NeZero.two.{0} Nat (AddCommMonoidWithOne.toAddMonoidWithOne.{0} Nat (NonAssocSemiring.toAddCommMonoidWithOne.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (StrictOrderedSemiring.to_charZero.{0} Nat Nat.strictOrderedSemiring))))))) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int Int.commRing) (Matrix.{0, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int) (HasLiftT.mk.{1, 1} (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int Int.commRing) (Matrix.{0, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int) (CoeTCₓ.coe.{1, 1} (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int Int.commRing) (Matrix.{0, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int) (coeBase.{1, 1} (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int Int.commRing) (Matrix.{0, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int) (Matrix.SpecialLinearGroup.hasCoeToMatrix.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) (b : Fin (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) => Fin.decidableEq (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)))) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (OfNat.mk.{0} Nat 2 (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))))) Int Int.commRing)))) g (OfNat.ofNat.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 1 (OfNat.mk.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) 1 (One.one.{0} (Fin (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne))) (Fin.hasOneOfNeZero (bit0.{0} Nat Nat.hasAdd (One.one.{0} Nat Nat.hasOne)) (CharZero.NeZero.two.{0} Nat (AddCommMonoidWithOne.toAddMonoidWithOne.{0} Nat (NonAssocSemiring.toAddCommMonoidWithOne.{0} Nat (Semiring.toNonAssocSemiring.{0} Nat Nat.semiring))) (StrictOrderedSemiring.to_charZero.{0} Nat Nat.strictOrderedSemiring)))))))
+but is expected to have type
+  forall (g : Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) Int Int.instCommRingInt), Eq.{1} ((Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) -> Int) (Subtype.val.{1} (Matrix.{0, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) Int) (fun (A : Matrix.{0, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) Int) => Eq.{1} Int (Matrix.det.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) a b) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) Int Int.instCommRingInt A) (OfNat.ofNat.{0} Int 1 (One.toOfNat1.{0} Int (Semiring.toOne.{0} Int (CommSemiring.toSemiring.{0} Int (CommRing.toCommSemiring.{0} Int Int.instCommRingInt)))))) (HMul.hMul.{0, 0, 0} (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) Int Int.instCommRingInt) (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) Int Int.instCommRingInt) (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) Int Int.instCommRingInt) (instHMul.{0} (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) Int Int.instCommRingInt) (Matrix.SpecialLinearGroup.hasMul.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) Int Int.instCommRingInt)) (Inv.inv.{0} (Matrix.SpecialLinearGroup.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) Int Int.instCommRingInt) (Matrix.SpecialLinearGroup.hasInv.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) Int Int.instCommRingInt) ModularGroup.T) g) (OfNat.ofNat.{0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) 1 (Fin.instOfNatFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) 1 (NeZero.succ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1)))))) (Subtype.val.{1} (Matrix.{0, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) Int) (fun (A : Matrix.{0, 0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) Int) => Eq.{1} Int (Matrix.det.{0, 0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => (fun (a : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) (b : Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) => instDecidableEqFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) a b) a b) a b) (Fin.fintype (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) Int Int.instCommRingInt A) (OfNat.ofNat.{0} Int 1 (One.toOfNat1.{0} Int (Semiring.toOne.{0} Int (CommSemiring.toSemiring.{0} Int (CommRing.toCommSemiring.{0} Int Int.instCommRingInt)))))) g (OfNat.ofNat.{0} (Fin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2))) 1 (Fin.instOfNatFin (OfNat.ofNat.{0} Nat 2 (instOfNatNat 2)) 1 (NeZero.succ (OfNat.ofNat.{0} Nat 1 (instOfNatNat 1))))))
+Case conversion may be inaccurate. Consider using '#align modular_group.T_inv_mul_apply_one ModularGroup.T_inv_mul_apply_oneₓ'. -/
 @[simp]
-theorem t_inv_mul_apply_one (g : SL(2, ℤ)) : ↑ₘ(t⁻¹ * g) 1 = ↑ₘg 1 := by
+theorem T_inv_mul_apply_one (g : SL(2, ℤ)) : ↑ₘ(T⁻¹ * g) 1 = ↑ₘg 1 := by
   simpa using T_pow_mul_apply_one (-1) g
-#align modular_group.T_inv_mul_apply_one ModularGroup.t_inv_mul_apply_one
+#align modular_group.T_inv_mul_apply_one ModularGroup.T_inv_mul_apply_one
 
 end ModularGroup
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/17ad94b4953419f3e3ce3e77da3239c62d1d09f0

@@ -296,7 +296,6 @@ theorem SL2_inv_expl (A : SL(2, R)) :
   rfl
 #align matrix.special_linear_group.SL2_inv_expl Matrix.SpecialLinearGroup.SL2_inv_expl
 
-/- ./././Mathport/Syntax/Translate/Tactic/Basic.lean:31:4: unsupported: too many args: matrix.notation ... #[[]] -/
 theorem fin_two_induction (P : SL(2, R) → Prop)
     (h : ∀ (a b c d : R) (hdet : a * d - b * c = 1), P ⟨!![a, b; c, d], by rwa [det_fin_two_of]⟩)
     (g : SL(2, R)) : P g := by
@@ -305,7 +304,6 @@ theorem fin_two_induction (P : SL(2, R) → Prop)
   ext (i j); fin_cases i <;> fin_cases j <;> rfl
 #align matrix.special_linear_group.fin_two_induction Matrix.SpecialLinearGroup.fin_two_induction
 
-/- ./././Mathport/Syntax/Translate/Tactic/Basic.lean:31:4: unsupported: too many args: matrix.notation ... #[[]] -/
 theorem fin_two_exists_eq_mk_of_apply_zero_one_eq_zero {R : Type _} [Field R] (g : SL(2, R))
     (hg : (g : Matrix (Fin 2) (Fin 2) R) 1 0 = 0) :
     ∃ (a b : R)(h : a ≠ 0), g = (⟨!![a, b; 0, a⁻¹], by simp [h]⟩ : SL(2, R)) :=
@@ -345,7 +343,6 @@ open Matrix Matrix.SpecialLinearGroup
 -- mathport name: «expr↑ₘ »
 local prefix:1024 "↑ₘ" => @coe _ (Matrix (Fin 2) (Fin 2) ℤ) _
 
-/- ./././Mathport/Syntax/Translate/Tactic/Basic.lean:31:4: unsupported: too many args: matrix.notation ... #[[]] -/
 /-- The matrix `S = [[0, -1], [1, 0]]` as an element of `SL(2, ℤ)`.
 
 This element acts naturally on the Euclidean plane as a rotation about the origin by `π / 2`.
@@ -356,29 +353,24 @@ def s : SL(2, ℤ) :=
   ⟨!![0, -1; 1, 0], by norm_num [Matrix.det_fin_two_of] ⟩
 #align modular_group.S ModularGroup.s
 
-/- ./././Mathport/Syntax/Translate/Tactic/Basic.lean:31:4: unsupported: too many args: matrix.notation ... #[[]] -/
 /-- The matrix `T = [[1, 1], [0, 1]]` as an element of `SL(2, ℤ)` -/
 def t : SL(2, ℤ) :=
   ⟨!![1, 1; 0, 1], by norm_num [Matrix.det_fin_two_of] ⟩
 #align modular_group.T ModularGroup.t
 
-/- ./././Mathport/Syntax/Translate/Tactic/Basic.lean:31:4: unsupported: too many args: matrix.notation ... #[[]] -/
 theorem coe_s : ↑ₘs = !![0, -1; 1, 0] :=
   rfl
 #align modular_group.coe_S ModularGroup.coe_s
 
-/- ./././Mathport/Syntax/Translate/Tactic/Basic.lean:31:4: unsupported: too many args: matrix.notation ... #[[]] -/
 theorem coe_t : ↑ₘt = !![1, 1; 0, 1] :=
   rfl
 #align modular_group.coe_T ModularGroup.coe_t
 
-/- ./././Mathport/Syntax/Translate/Tactic/Basic.lean:31:4: unsupported: too many args: matrix.notation ... #[[]] -/
 theorem coe_t_inv : ↑ₘt⁻¹ = !![1, -1; 0, 1] := by simp [coe_inv, coe_T, adjugate_fin_two]
 #align modular_group.coe_T_inv ModularGroup.coe_t_inv
 
 /- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `congrm #[[expr «expr!![ »(matrix.notation [expr _, ",", expr _, ";", expr _, ",", expr _, "]"] [])]] -/
 /- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `congrm #[[expr «expr!![ »(matrix.notation [expr _, ",", expr _, ";", expr _, ",", expr _, "]"] [])]] -/
-/- ./././Mathport/Syntax/Translate/Tactic/Basic.lean:31:4: unsupported: too many args: matrix.notation ... #[[]] -/
 theorem coe_t_zpow (n : ℤ) : ↑ₘ(t ^ n) = !![1, n; 0, 1] :=
   by
   induction' n using Int.induction_on with n h n h

mathlib commit https://github.com/leanprover-community/mathlib/commit/17ad94b4953419f3e3ce3e77da3239c62d1d09f0

@@ -296,31 +296,19 @@ theorem SL2_inv_expl (A : SL(2, R)) :
   rfl
 #align matrix.special_linear_group.SL2_inv_expl Matrix.SpecialLinearGroup.SL2_inv_expl
 
-/- ./././Mathport/Syntax/Translate/Expr.lean:207:4: warning: unsupported notation `«expr!![ » -/
-/- ./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation -/
+/- ./././Mathport/Syntax/Translate/Tactic/Basic.lean:31:4: unsupported: too many args: matrix.notation ... #[[]] -/
 theorem fin_two_induction (P : SL(2, R) → Prop)
-    (h :
-      ∀ (a b c d : R) (hdet : a * d - b * c = 1),
-        P
-          ⟨«expr!![ »
-              "./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation",
-            by rwa [det_fin_two_of]⟩)
+    (h : ∀ (a b c d : R) (hdet : a * d - b * c = 1), P ⟨!![a, b; c, d], by rwa [det_fin_two_of]⟩)
     (g : SL(2, R)) : P g := by
   obtain ⟨m, hm⟩ := g
   convert h (m 0 0) (m 0 1) (m 1 0) (m 1 1) (by rwa [det_fin_two] at hm)
   ext (i j); fin_cases i <;> fin_cases j <;> rfl
 #align matrix.special_linear_group.fin_two_induction Matrix.SpecialLinearGroup.fin_two_induction
 
-/- ./././Mathport/Syntax/Translate/Expr.lean:207:4: warning: unsupported notation `«expr!![ » -/
-/- ./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation -/
+/- ./././Mathport/Syntax/Translate/Tactic/Basic.lean:31:4: unsupported: too many args: matrix.notation ... #[[]] -/
 theorem fin_two_exists_eq_mk_of_apply_zero_one_eq_zero {R : Type _} [Field R] (g : SL(2, R))
     (hg : (g : Matrix (Fin 2) (Fin 2) R) 1 0 = 0) :
-    ∃ (a b : R)(h : a ≠ 0),
-      g =
-        (⟨«expr!![ »
-              "./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation",
-            by simp [h]⟩ :
-          SL(2, R)) :=
+    ∃ (a b : R)(h : a ≠ 0), g = (⟨!![a, b; 0, a⁻¹], by simp [h]⟩ : SL(2, R)) :=
   by
   induction' g using Matrix.SpecialLinearGroup.fin_two_induction with a b c d h_det
   replace hg : c = 0 := by simpa using hg
@@ -357,8 +345,7 @@ open Matrix Matrix.SpecialLinearGroup
 -- mathport name: «expr↑ₘ »
 local prefix:1024 "↑ₘ" => @coe _ (Matrix (Fin 2) (Fin 2) ℤ) _
 
-/- ./././Mathport/Syntax/Translate/Expr.lean:207:4: warning: unsupported notation `«expr!![ » -/
-/- ./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation -/
+/- ./././Mathport/Syntax/Translate/Tactic/Basic.lean:31:4: unsupported: too many args: matrix.notation ... #[[]] -/
 /-- The matrix `S = [[0, -1], [1, 0]]` as an element of `SL(2, ℤ)`.
 
 This element acts naturally on the Euclidean plane as a rotation about the origin by `π / 2`.
@@ -366,55 +353,33 @@ This element acts naturally on the Euclidean plane as a rotation about the origi
 This element also acts naturally on the hyperbolic plane as rotation about `i` by `π`. It
 represents the Mobiüs transformation `z ↦ -1/z` and is an involutive elliptic isometry. -/
 def s : SL(2, ℤ) :=
-  ⟨«expr!![ »
-      "./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation",
-    by norm_num [Matrix.det_fin_two_of] ⟩
+  ⟨!![0, -1; 1, 0], by norm_num [Matrix.det_fin_two_of] ⟩
 #align modular_group.S ModularGroup.s
 
-/- ./././Mathport/Syntax/Translate/Expr.lean:207:4: warning: unsupported notation `«expr!![ » -/
-/- ./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation -/
+/- ./././Mathport/Syntax/Translate/Tactic/Basic.lean:31:4: unsupported: too many args: matrix.notation ... #[[]] -/
 /-- The matrix `T = [[1, 1], [0, 1]]` as an element of `SL(2, ℤ)` -/
 def t : SL(2, ℤ) :=
-  ⟨«expr!![ »
-      "./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation",
-    by norm_num [Matrix.det_fin_two_of] ⟩
+  ⟨!![1, 1; 0, 1], by norm_num [Matrix.det_fin_two_of] ⟩
 #align modular_group.T ModularGroup.t
 
-/- ./././Mathport/Syntax/Translate/Expr.lean:207:4: warning: unsupported notation `«expr!![ » -/
-/- ./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation -/
-theorem coe_s :
-    ↑ₘs =
-      «expr!![ »
-        "./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation" :=
+/- ./././Mathport/Syntax/Translate/Tactic/Basic.lean:31:4: unsupported: too many args: matrix.notation ... #[[]] -/
+theorem coe_s : ↑ₘs = !![0, -1; 1, 0] :=
   rfl
 #align modular_group.coe_S ModularGroup.coe_s
 
-/- ./././Mathport/Syntax/Translate/Expr.lean:207:4: warning: unsupported notation `«expr!![ » -/
-/- ./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation -/
-theorem coe_t :
-    ↑ₘt =
-      «expr!![ »
-        "./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation" :=
+/- ./././Mathport/Syntax/Translate/Tactic/Basic.lean:31:4: unsupported: too many args: matrix.notation ... #[[]] -/
+theorem coe_t : ↑ₘt = !![1, 1; 0, 1] :=
   rfl
 #align modular_group.coe_T ModularGroup.coe_t
 
-/- ./././Mathport/Syntax/Translate/Expr.lean:207:4: warning: unsupported notation `«expr!![ » -/
-/- ./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation -/
-theorem coe_t_inv :
-    ↑ₘt⁻¹ =
-      «expr!![ »
-        "./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation" :=
-  by simp [coe_inv, coe_T, adjugate_fin_two]
+/- ./././Mathport/Syntax/Translate/Tactic/Basic.lean:31:4: unsupported: too many args: matrix.notation ... #[[]] -/
+theorem coe_t_inv : ↑ₘt⁻¹ = !![1, -1; 0, 1] := by simp [coe_inv, coe_T, adjugate_fin_two]
 #align modular_group.coe_T_inv ModularGroup.coe_t_inv
 
 /- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `congrm #[[expr «expr!![ »(matrix.notation [expr _, ",", expr _, ";", expr _, ",", expr _, "]"] [])]] -/
 /- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `congrm #[[expr «expr!![ »(matrix.notation [expr _, ",", expr _, ";", expr _, ",", expr _, "]"] [])]] -/
-/- ./././Mathport/Syntax/Translate/Expr.lean:207:4: warning: unsupported notation `«expr!![ » -/
-/- ./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation -/
-theorem coe_t_zpow (n : ℤ) :
-    ↑ₘ(t ^ n) =
-      «expr!![ »
-        "./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation" :=
+/- ./././Mathport/Syntax/Translate/Tactic/Basic.lean:31:4: unsupported: too many args: matrix.notation ... #[[]] -/
+theorem coe_t_zpow (n : ℤ) : ↑ₘ(t ^ n) = !![1, n; 0, 1] :=
   by
   induction' n using Int.induction_on with n h n h
   · rw [zpow_zero, coe_one, Matrix.one_fin_two]

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

@@ -324,7 +324,7 @@ theorem fin_two_exists_eq_mk_of_apply_zero_one_eq_zero {R : Type _} [Field R] (g
   by
   induction' g using Matrix.SpecialLinearGroup.fin_two_induction with a b c d h_det
   replace hg : c = 0 := by simpa using hg
-  have had : a * d = 1 := by rwa [hg, mul_zero, sub_zero] at h_det
+  have had : a * d = 1 := by rwa [hg, MulZeroClass.mul_zero, sub_zero] at h_det
   refine' ⟨a, b, left_ne_zero_of_mul_eq_one had, _⟩
   simp_rw [eq_inv_of_mul_eq_one_right had, hg]
 #align matrix.special_linear_group.fin_two_exists_eq_mk_of_apply_zero_one_eq_zero Matrix.SpecialLinearGroup.fin_two_exists_eq_mk_of_apply_zero_one_eq_zero

mathlib commit https://github.com/leanprover-community/mathlib/commit/62e8311c791f02c47451bf14aa2501048e7c2f33

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Anne Baanen
 
 ! This file was ported from Lean 3 source module linear_algebra.matrix.special_linear_group
-! leanprover-community/mathlib commit 2705404e701abc6b3127da906f40bae062a169c9
+! leanprover-community/mathlib commit f06058e64b7e8397234455038f3f8aec83aaba5a
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -296,6 +296,39 @@ theorem SL2_inv_expl (A : SL(2, R)) :
   rfl
 #align matrix.special_linear_group.SL2_inv_expl Matrix.SpecialLinearGroup.SL2_inv_expl
 
+/- ./././Mathport/Syntax/Translate/Expr.lean:207:4: warning: unsupported notation `«expr!![ » -/
+/- ./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation -/
+theorem fin_two_induction (P : SL(2, R) → Prop)
+    (h :
+      ∀ (a b c d : R) (hdet : a * d - b * c = 1),
+        P
+          ⟨«expr!![ »
+              "./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation",
+            by rwa [det_fin_two_of]⟩)
+    (g : SL(2, R)) : P g := by
+  obtain ⟨m, hm⟩ := g
+  convert h (m 0 0) (m 0 1) (m 1 0) (m 1 1) (by rwa [det_fin_two] at hm)
+  ext (i j); fin_cases i <;> fin_cases j <;> rfl
+#align matrix.special_linear_group.fin_two_induction Matrix.SpecialLinearGroup.fin_two_induction
+
+/- ./././Mathport/Syntax/Translate/Expr.lean:207:4: warning: unsupported notation `«expr!![ » -/
+/- ./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation -/
+theorem fin_two_exists_eq_mk_of_apply_zero_one_eq_zero {R : Type _} [Field R] (g : SL(2, R))
+    (hg : (g : Matrix (Fin 2) (Fin 2) R) 1 0 = 0) :
+    ∃ (a b : R)(h : a ≠ 0),
+      g =
+        (⟨«expr!![ »
+              "./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation",
+            by simp [h]⟩ :
+          SL(2, R)) :=
+  by
+  induction' g using Matrix.SpecialLinearGroup.fin_two_induction with a b c d h_det
+  replace hg : c = 0 := by simpa using hg
+  have had : a * d = 1 := by rwa [hg, mul_zero, sub_zero] at h_det
+  refine' ⟨a, b, left_ne_zero_of_mul_eq_one had, _⟩
+  simp_rw [eq_inv_of_mul_eq_one_right had, hg]
+#align matrix.special_linear_group.fin_two_exists_eq_mk_of_apply_zero_one_eq_zero Matrix.SpecialLinearGroup.fin_two_exists_eq_mk_of_apply_zero_one_eq_zero
+
 end SpecialCases
 
 -- this section should be last to ensure we do not use it in lemmas
@@ -315,3 +348,100 @@ end SpecialLinearGroup
 
 end Matrix
 
+namespace ModularGroup
+
+open MatrixGroups
+
+open Matrix Matrix.SpecialLinearGroup
+
+-- mathport name: «expr↑ₘ »
+local prefix:1024 "↑ₘ" => @coe _ (Matrix (Fin 2) (Fin 2) ℤ) _
+
+/- ./././Mathport/Syntax/Translate/Expr.lean:207:4: warning: unsupported notation `«expr!![ » -/
+/- ./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation -/
+/-- The matrix `S = [[0, -1], [1, 0]]` as an element of `SL(2, ℤ)`.
+
+This element acts naturally on the Euclidean plane as a rotation about the origin by `π / 2`.
+
+This element also acts naturally on the hyperbolic plane as rotation about `i` by `π`. It
+represents the Mobiüs transformation `z ↦ -1/z` and is an involutive elliptic isometry. -/
+def s : SL(2, ℤ) :=
+  ⟨«expr!![ »
+      "./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation",
+    by norm_num [Matrix.det_fin_two_of] ⟩
+#align modular_group.S ModularGroup.s
+
+/- ./././Mathport/Syntax/Translate/Expr.lean:207:4: warning: unsupported notation `«expr!![ » -/
+/- ./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation -/
+/-- The matrix `T = [[1, 1], [0, 1]]` as an element of `SL(2, ℤ)` -/
+def t : SL(2, ℤ) :=
+  ⟨«expr!![ »
+      "./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation",
+    by norm_num [Matrix.det_fin_two_of] ⟩
+#align modular_group.T ModularGroup.t
+
+/- ./././Mathport/Syntax/Translate/Expr.lean:207:4: warning: unsupported notation `«expr!![ » -/
+/- ./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation -/
+theorem coe_s :
+    ↑ₘs =
+      «expr!![ »
+        "./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation" :=
+  rfl
+#align modular_group.coe_S ModularGroup.coe_s
+
+/- ./././Mathport/Syntax/Translate/Expr.lean:207:4: warning: unsupported notation `«expr!![ » -/
+/- ./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation -/
+theorem coe_t :
+    ↑ₘt =
+      «expr!![ »
+        "./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation" :=
+  rfl
+#align modular_group.coe_T ModularGroup.coe_t
+
+/- ./././Mathport/Syntax/Translate/Expr.lean:207:4: warning: unsupported notation `«expr!![ » -/
+/- ./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation -/
+theorem coe_t_inv :
+    ↑ₘt⁻¹ =
+      «expr!![ »
+        "./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation" :=
+  by simp [coe_inv, coe_T, adjugate_fin_two]
+#align modular_group.coe_T_inv ModularGroup.coe_t_inv
+
+/- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `congrm #[[expr «expr!![ »(matrix.notation [expr _, ",", expr _, ";", expr _, ",", expr _, "]"] [])]] -/
+/- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `congrm #[[expr «expr!![ »(matrix.notation [expr _, ",", expr _, ";", expr _, ",", expr _, "]"] [])]] -/
+/- ./././Mathport/Syntax/Translate/Expr.lean:207:4: warning: unsupported notation `«expr!![ » -/
+/- ./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation -/
+theorem coe_t_zpow (n : ℤ) :
+    ↑ₘ(t ^ n) =
+      «expr!![ »
+        "./././Mathport/Syntax/Translate/Expr.lean:387:14: unsupported user notation matrix.notation" :=
+  by
+  induction' n using Int.induction_on with n h n h
+  · rw [zpow_zero, coe_one, Matrix.one_fin_two]
+  · simp_rw [zpow_add, zpow_one, coe_mul, h, coe_T, Matrix.mul_fin_two]
+    trace
+      "./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `congrm #[[expr «expr!![ »(matrix.notation [expr _, \",\", expr _, \";\", expr _, \",\", expr _, \"]\"] [])]]"
+    rw [mul_one, mul_one, add_comm]
+  · simp_rw [zpow_sub, zpow_one, coe_mul, h, coe_T_inv, Matrix.mul_fin_two]
+    trace
+        "./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `congrm #[[expr «expr!![ »(matrix.notation [expr _, \",\", expr _, \";\", expr _, \",\", expr _, \"]\"] [])]]" <;>
+      ring
+#align modular_group.coe_T_zpow ModularGroup.coe_t_zpow
+
+@[simp]
+theorem t_pow_mul_apply_one (n : ℤ) (g : SL(2, ℤ)) : ↑ₘ(t ^ n * g) 1 = ↑ₘg 1 := by
+  simp [coe_T_zpow, Matrix.mul, Matrix.dotProduct, Fin.sum_univ_succ]
+#align modular_group.T_pow_mul_apply_one ModularGroup.t_pow_mul_apply_one
+
+@[simp]
+theorem t_mul_apply_one (g : SL(2, ℤ)) : ↑ₘ(t * g) 1 = ↑ₘg 1 := by
+  simpa using T_pow_mul_apply_one 1 g
+#align modular_group.T_mul_apply_one ModularGroup.t_mul_apply_one
+
+@[simp]
+theorem t_inv_mul_apply_one (g : SL(2, ℤ)) : ↑ₘ(t⁻¹ * g) 1 = ↑ₘg 1 := by
+  simpa using T_pow_mul_apply_one (-1) g
+#align modular_group.T_inv_mul_apply_one ModularGroup.t_inv_mul_apply_one
+
+end ModularGroup
+

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

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

@@ -281,7 +281,7 @@ theorem scalar_eq_coe_self_center
   scalar_eq_self_of_mem_center A.property i
 
 /-- The center of a special linear group of degree `n` is the subgroup of scalar matrices, for which
-the scalars are the `n`-th roots of unity.-/
+the scalars are the `n`-th roots of unity. -/
 theorem mem_center_iff {A : SpecialLinearGroup n R} :
     A ∈ center (SpecialLinearGroup n R) ↔ ∃ (r : R), r ^ (Fintype.card n) = 1 ∧ scalar n r = A := by
   rcases isEmpty_or_nonempty n with hn | ⟨⟨i⟩⟩; · exact ⟨by aesop, by simp [Subsingleton.elim A 1]⟩

Per the style guidelines, λ is disallowed in mathlib. This is close to exhaustive; I left some tactic code alone when it seemed to me that tactic could be upstreamed soon.

Notes

• In lines I was modifying anyway, I also converted => to ↦.
• Also contains some mild in-passing indentation fixes in Mathlib/Order/SupClosed.
• Some doc comments still contained Lean 3 syntax λ x, , which I also replaced.

@@ -285,7 +285,7 @@ the scalars are the `n`-th roots of unity.-/
 theorem mem_center_iff {A : SpecialLinearGroup n R} :
     A ∈ center (SpecialLinearGroup n R) ↔ ∃ (r : R), r ^ (Fintype.card n) = 1 ∧ scalar n r = A := by
   rcases isEmpty_or_nonempty n with hn | ⟨⟨i⟩⟩; · exact ⟨by aesop, by simp [Subsingleton.elim A 1]⟩
-  refine ⟨fun h ↦  ⟨A i i, ?_, ?_⟩, fun ⟨r, _, hr⟩ ↦ mem_center_iff.mpr fun B ↦ ?_⟩
+  refine ⟨fun h ↦ ⟨A i i, ?_, ?_⟩, fun ⟨r, _, hr⟩ ↦ mem_center_iff.mpr fun B ↦ ?_⟩
   · have : det ((scalar n) (A i i)) = 1 := (scalar_eq_self_of_mem_center h i).symm ▸ A.property
     simpa using this
   · exact scalar_eq_self_of_mem_center h i

We remove all but one open Classicals, instead preferring to use open scoped Classical. The only real side-effect this led to is moving a couple declarations to use Exists.choose instead of Classical.choose.

The first few commits are explicitly labelled regex replaces for ease of review.

@@ -317,7 +317,7 @@ def center_equiv_rootsOfUnity' (i : n) :
     rw [← scalar_eq_coe_self_center A i, ← scalar_eq_coe_self_center B i]
     simp
 
-open Classical in
+open scoped Classical in
 /-- An equivalence of groups, from the center of the special linear group to the roots of unity.
 
 See also `center_equiv_rootsOfUnity'`. -/

Classifies by adding issue number #11036 to porting notes claiming:

broken dot notation

@@ -239,7 +239,7 @@ def toGL : SpecialLinearGroup n R →* GeneralLinearGroup R (n → R) :=
 set_option linter.uppercaseLean3 false in
 #align matrix.special_linear_group.to_GL Matrix.SpecialLinearGroup.toGL
 
--- Porting note: broken dot notation
+-- Porting note (#11036): broken dot notation
 theorem coe_toGL (A : SpecialLinearGroup n R) : SpecialLinearGroup.toGL A = A.toLin'.toLinearMap :=
   rfl
 set_option linter.uppercaseLean3 false in

I replaced a few "terminal" refine/refine's with exact.

The strategy was very simple-minded: essentially any refine whose following line had smaller indentation got replaced by exact and then I cleaned up the mess.

This PR certainly leaves some further terminal refines, but maybe the current change is beneficial.

@@ -309,7 +309,7 @@ def center_equiv_rootsOfUnity' (i : n) :
     simpa [← hr, Submonoid.smul_def, Units.smul_def] using smul_one_eq_diagonal r
   right_inv a := by
     obtain ⟨⟨a, _⟩, ha⟩ := a
-    refine SetCoe.ext <| Units.eq_iff.mp <| by simp
+    exact SetCoe.ext <| Units.eq_iff.mp <| by simp
   map_mul' A B := by
     dsimp
     ext

This reduces the number of instructions by over a third using dsimp to clean up an expression before starting a proof.

@@ -311,6 +311,7 @@ def center_equiv_rootsOfUnity' (i : n) :
     obtain ⟨⟨a, _⟩, ha⟩ := a
     refine SetCoe.ext <| Units.eq_iff.mp <| by simp
   map_mul' A B := by
+    dsimp
     ext
     simp only [Submonoid.coe_mul, coe_mul, rootsOfUnity.val_mkOfPowEq_coe, Units.val_mul]
     rw [← scalar_eq_coe_self_center A i, ← scalar_eq_coe_self_center B i]

The center of a special linear group of degree n is a subgroup composed of scalar matrices, in which the scalars are the n-th roots of 1. Co-authored-by: Oliver Nash <[github@olivernash.org](mailto:github@olivernash.org)>

Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Mario Carneiro <di.gama@gmail.com>

@@ -1,11 +1,12 @@
 /-
 Copyright (c) 2020 Anne Baanen. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
-Authors: Anne Baanen
+Authors: Anne Baanen, Wen Yang
 -/
 import Mathlib.LinearAlgebra.GeneralLinearGroup
 import Mathlib.LinearAlgebra.Matrix.Adjugate
-import Mathlib.LinearAlgebra.Matrix.ToLin
+import Mathlib.LinearAlgebra.Matrix.Transvection
+import Mathlib.RingTheory.RootsOfUnity.Basic
 
 #align_import linear_algebra.matrix.special_linear_group from "leanprover-community/mathlib"@"f06058e64b7e8397234455038f3f8aec83aaba5a"
 
@@ -107,6 +108,13 @@ theorem ext (A B : SpecialLinearGroup n R) : (∀ i j, ↑ₘA i j = ↑ₘB i j
   (SpecialLinearGroup.ext_iff A B).mpr
 #align matrix.special_linear_group.ext Matrix.SpecialLinearGroup.ext
 
+instance subsingleton_of_subsingleton [Subsingleton n] : Subsingleton (SpecialLinearGroup n R) := by
+  refine ⟨fun ⟨A, hA⟩ ⟨B, hB⟩ ↦ ?_⟩
+  ext i j
+  rcases isEmpty_or_nonempty n with hn | hn; · exfalso; exact IsEmpty.false i
+  rw [det_eq_elem_of_subsingleton _ i] at hA hB
+  simp only [Subsingleton.elim j i, hA, hB]
+
 instance hasInv : Inv (SpecialLinearGroup n R) :=
   ⟨fun A => ⟨adjugate A, by rw [det_adjugate, A.prop, one_pow]⟩⟩
 #align matrix.special_linear_group.has_inv Matrix.SpecialLinearGroup.hasInv
@@ -251,6 +259,77 @@ def map (f : R →+* S) : SpecialLinearGroup n R →* SpecialLinearGroup n S whe
   map_mul' x y := Subtype.ext <| f.mapMatrix.map_mul ↑ₘx ↑ₘy
 #align matrix.special_linear_group.map Matrix.SpecialLinearGroup.map
 
+section center
+
+open Subgroup
+
+@[simp]
+theorem center_eq_bot_of_subsingleton [Subsingleton n] :
+    center (SpecialLinearGroup n R) = ⊥ :=
+  eq_bot_iff.mpr fun x _ ↦ by rw [mem_bot, Subsingleton.elim x 1]
+
+theorem scalar_eq_self_of_mem_center
+    {A : SpecialLinearGroup n R} (hA : A ∈ center (SpecialLinearGroup n R)) (i : n) :
+    scalar n (A i i) = A := by
+  obtain ⟨r : R, hr : scalar n r = A⟩ := mem_range_scalar_of_commute_transvectionStruct fun t ↦
+    Subtype.ext_iff.mp <| Subgroup.mem_center_iff.mp hA ⟨t.toMatrix, by simp⟩
+  simp [← congr_fun₂ hr i i, ← hr]
+
+theorem scalar_eq_coe_self_center
+    (A : center (SpecialLinearGroup n R)) (i : n) :
+    scalar n ((A : Matrix n n R) i i) = A :=
+  scalar_eq_self_of_mem_center A.property i
+
+/-- The center of a special linear group of degree `n` is the subgroup of scalar matrices, for which
+the scalars are the `n`-th roots of unity.-/
+theorem mem_center_iff {A : SpecialLinearGroup n R} :
+    A ∈ center (SpecialLinearGroup n R) ↔ ∃ (r : R), r ^ (Fintype.card n) = 1 ∧ scalar n r = A := by
+  rcases isEmpty_or_nonempty n with hn | ⟨⟨i⟩⟩; · exact ⟨by aesop, by simp [Subsingleton.elim A 1]⟩
+  refine ⟨fun h ↦  ⟨A i i, ?_, ?_⟩, fun ⟨r, _, hr⟩ ↦ mem_center_iff.mpr fun B ↦ ?_⟩
+  · have : det ((scalar n) (A i i)) = 1 := (scalar_eq_self_of_mem_center h i).symm ▸ A.property
+    simpa using this
+  · exact scalar_eq_self_of_mem_center h i
+  · suffices ↑ₘ(B * A) = ↑ₘ(A * B) from Subtype.val_injective this
+    simpa only [coe_mul, ← hr] using (scalar_commute (n := n) r (Commute.all r) B).symm
+
+/-- An equivalence of groups, from the center of the special linear group to the roots of unity. -/
+@[simps]
+def center_equiv_rootsOfUnity' (i : n) :
+    center (SpecialLinearGroup n R) ≃* rootsOfUnity (Fintype.card n).toPNat' R where
+  toFun A := rootsOfUnity.mkOfPowEq (↑ₘA i i) <| by
+    have : Nonempty n := ⟨i⟩
+    obtain ⟨r, hr, hr'⟩ := mem_center_iff.mp A.property
+    replace hr' : A.val i i = r := by simp [← hr']
+    simp [hr, hr']
+  invFun a := ⟨⟨a • (1 : Matrix n n R), by aesop⟩,
+    Subgroup.mem_center_iff.mpr fun B ↦ Subtype.val_injective <| by simp [coe_mul]⟩
+  left_inv A := by
+    refine SetCoe.ext <| SetCoe.ext ?_
+    obtain ⟨r, _, hr⟩ := mem_center_iff.mp A.property
+    simpa [← hr, Submonoid.smul_def, Units.smul_def] using smul_one_eq_diagonal r
+  right_inv a := by
+    obtain ⟨⟨a, _⟩, ha⟩ := a
+    refine SetCoe.ext <| Units.eq_iff.mp <| by simp
+  map_mul' A B := by
+    ext
+    simp only [Submonoid.coe_mul, coe_mul, rootsOfUnity.val_mkOfPowEq_coe, Units.val_mul]
+    rw [← scalar_eq_coe_self_center A i, ← scalar_eq_coe_self_center B i]
+    simp
+
+open Classical in
+/-- An equivalence of groups, from the center of the special linear group to the roots of unity.
+
+See also `center_equiv_rootsOfUnity'`. -/
+noncomputable def center_equiv_rootsOfUnity :
+    center (SpecialLinearGroup n R) ≃* rootsOfUnity (Fintype.card n).toPNat' R :=
+  (isEmpty_or_nonempty n).by_cases
+  (fun hn ↦ by
+    rw [center_eq_bot_of_subsingleton, Fintype.card_eq_zero, Nat.toPNat'_zero, rootsOfUnity_one]
+    exact MulEquiv.mulEquivOfUnique)
+  (fun hn ↦ center_equiv_rootsOfUnity' (Classical.arbitrary n))
+
+end center
+
 section cast
 
 /-- Coercion of SL `n` `ℤ` to SL `n` `R` for a commutative ring `R`. -/

This instance was meant to apply to even literal numbers. Because Lean 4 no longer uses bit0/bit1 for literals, it no longer serves that purpose. Instead, a specific instance for Fin 2 is added.

@@ -271,7 +271,7 @@ variable [Fact (Even (Fintype.card n))]
 
 /-- Formal operation of negation on special linear group on even cardinality `n` given by negating
 each element. -/
-instance : Neg (SpecialLinearGroup n R) :=
+instance instNeg : Neg (SpecialLinearGroup n R) :=
   ⟨fun g => ⟨-g, by
     simpa [(@Fact.out <| Even <| Fintype.card n).neg_one_pow, g.det_coe] using det_smul (↑ₘg) (-1)⟩⟩
 

Zulip discussion: https://leanprover.zulipchat.com/#narrow/stream/113488-general/topic/Notation.20for.20mul_vec.20and.20vec_mul

Co-authored-by: Martin Dvorak <mdvorak@ista.ac.at>

@@ -382,7 +382,7 @@ lemma exists_SL2_row {a b : R} (hab : IsCoprime a b) (i : Fin 2):
 /-- A vector with coprime entries, right-multiplied by a matrix in `SL(2, R)`, has
 coprime entries. -/
 lemma vecMulSL {v : Fin 2 → R} (hab : IsCoprime (v 0) (v 1)) (A : SL(2, R)) :
-    IsCoprime (vecMul v A.1 0) (vecMul v A.1 1) := by
+    IsCoprime ((v ᵥ* A.1) 0) ((v ᵥ* A.1) 1) := by
   obtain ⟨g, hg⟩ := hab.exists_SL2_row 0
   have : v = g 0 := funext fun t ↦ by { fin_cases t <;> tauto }
   simpa only [this] using isCoprime_row (g * A) 0
@@ -390,7 +390,7 @@ lemma vecMulSL {v : Fin 2 → R} (hab : IsCoprime (v 0) (v 1)) (A : SL(2, R)) :
 /-- A vector with coprime entries, left-multiplied by a matrix in `SL(2, R)`, has
 coprime entries. -/
 lemma mulVecSL {v : Fin 2 → R} (hab : IsCoprime (v 0) (v 1)) (A : SL(2, R)) :
-    IsCoprime (mulVec A.1 v 0) (mulVec A.1 v 1) := by
+    IsCoprime ((A.1 *ᵥ v) 0) ((A.1 *ᵥ v) 1) := by
   simpa only [← vecMul_transpose] using hab.vecMulSL A.transpose
 
 end IsCoprime

This cleans up instances of

⟨ foo, bar⟩

and

⟨foo, bar ⟩

where spaces a on the inside one side, but not on the other side. Fixing this by removing the extra space.

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

@@ -412,12 +412,12 @@ This element acts naturally on the Euclidean plane as a rotation about the origi
 This element also acts naturally on the hyperbolic plane as rotation about `i` by `π`. It
 represents the Mobiüs transformation `z ↦ -1/z` and is an involutive elliptic isometry. -/
 def S : SL(2, ℤ) :=
-  ⟨!![0, -1; 1, 0], by norm_num [Matrix.det_fin_two_of] ⟩
+  ⟨!![0, -1; 1, 0], by norm_num [Matrix.det_fin_two_of]⟩
 #align modular_group.S ModularGroup.S
 
 /-- The matrix `T = [[1, 1], [0, 1]]` as an element of `SL(2, ℤ)` -/
 def T : SL(2, ℤ) :=
-  ⟨!![1, 1; 0, 1], by norm_num [Matrix.det_fin_two_of] ⟩
+  ⟨!![1, 1; 0, 1], by norm_num [Matrix.det_fin_two_of]⟩
 #align modular_group.T ModularGroup.T
 
 theorem coe_S : ↑ₘS = !![0, -1; 1, 0] :=

@@ -339,11 +339,11 @@ lemma isCoprime_row (A : SL(2, R)) (i : Fin 2): IsCoprime (A i 0) (A i 1) := by
     ring
 
 lemma isCoprime_col (A : SL(2, R)) (j : Fin 2): IsCoprime (A 0 j) (A 1 j) := by
-    refine match j with
-    | 0 => ⟨A 1 1, -(A 0 1), ?_⟩
-    | 1 => ⟨-(A 1 0), A 0 0, ?_⟩ <;>
-    · simp_rw [det_coe A ▸ det_fin_two A.1]
-      ring
+  refine match j with
+  | 0 => ⟨A 1 1, -(A 0 1), ?_⟩
+  | 1 => ⟨-(A 1 0), A 0 0, ?_⟩ <;>
+  · simp_rw [det_coe A ▸ det_fin_two A.1]
+    ring
 
 end SpecialCases
 

Make all the notations that unambiguously should inherit the docstring of their definition actually inherit it.

Also write a few docstrings by hand. I only wrote the ones I was competent to write and which I was sure of. Some docstrings come from mathlib3 as they were lost during the early port.

This PR is only intended as a first pass There are many more docstrings to add.

@@ -70,6 +70,7 @@ def SpecialLinearGroup :=
 
 end
 
+@[inherit_doc]
 scoped[MatrixGroups] notation "SL(" n ", " R ")" => Matrix.SpecialLinearGroup (Fin n) R
 
 namespace SpecialLinearGroup

This defines Eisenstein series of level N and shows that they are a slash invariant form. Also adds some pre-requisites for proving they are modular forms, which will be in the next PRs

Co-authored-by: David Loeffler <d.loeffler.01@cantab.net> Co-authored-by: Chris Birkbeck <c.birkbeck@uea.ac.uk>

@@ -124,6 +124,13 @@ instance : Pow (SpecialLinearGroup n R) ℕ where
 instance : Inhabited (SpecialLinearGroup n R) :=
   ⟨1⟩
 
+/-- The transpose of a matrix in `SL(n, R)` -/
+def transpose (A : SpecialLinearGroup n R) : SpecialLinearGroup n R :=
+  ⟨A.1.transpose, A.1.det_transpose ▸ A.2⟩
+
+@[inherit_doc]
+scoped postfix:1024 "ᵀ" => SpecialLinearGroup.transpose
+
 section CoeLemmas
 
 variable (A B : SpecialLinearGroup n R)
@@ -158,6 +165,10 @@ theorem coe_pow (m : ℕ) : ↑ₘ(A ^ m) = ↑ₘA ^ m :=
   rfl
 #align matrix.special_linear_group.coe_pow Matrix.SpecialLinearGroup.coe_pow
 
+@[simp]
+lemma coe_transpose (A : SpecialLinearGroup n R) : ↑ₘAᵀ = (↑ₘA)ᵀ :=
+  rfl
+
 theorem det_ne_zero [Nontrivial R] (g : SpecialLinearGroup n R) : det ↑ₘg ≠ 0 := by
   rw [g.det_coe]
   norm_num
@@ -319,12 +330,70 @@ theorem fin_two_exists_eq_mk_of_apply_zero_one_eq_zero {R : Type*} [Field R] (g
   simp_rw [eq_inv_of_mul_eq_one_right had, hg]
 #align matrix.special_linear_group.fin_two_exists_eq_mk_of_apply_zero_one_eq_zero Matrix.SpecialLinearGroup.fin_two_exists_eq_mk_of_apply_zero_one_eq_zero
 
+lemma isCoprime_row (A : SL(2, R)) (i : Fin 2): IsCoprime (A i 0) (A i 1) := by
+  refine match i with
+  | 0 => ⟨A 1 1, -(A 1 0), ?_⟩
+  | 1 => ⟨-(A 0 1), A 0 0, ?_⟩ <;>
+  · simp_rw [det_coe A ▸ det_fin_two A.1]
+    ring
+
+lemma isCoprime_col (A : SL(2, R)) (j : Fin 2): IsCoprime (A 0 j) (A 1 j) := by
+    refine match j with
+    | 0 => ⟨A 1 1, -(A 0 1), ?_⟩
+    | 1 => ⟨-(A 1 0), A 0 0, ?_⟩ <;>
+    · simp_rw [det_coe A ▸ det_fin_two A.1]
+      ring
+
 end SpecialCases
 
 end SpecialLinearGroup
 
 end Matrix
 
+namespace IsCoprime
+
+open Matrix MatrixGroups SpecialLinearGroup
+
+variable {R : Type*} [CommRing R]
+
+/-- Given any pair of coprime elements of `R`, there exists a matrix in `SL(2, R)` having those
+entries as its left or right column. -/
+lemma exists_SL2_col {a b : R} (hab : IsCoprime a b) (j : Fin 2):
+    ∃ g : SL(2, R), g 0 j = a ∧ g 1 j = b := by
+  obtain ⟨u, v, h⟩ := hab
+  refine match j with
+  | 0 => ⟨⟨!![a, -v; b, u], ?_⟩, rfl, rfl⟩
+  | 1 => ⟨⟨!![v, a; -u, b], ?_⟩, rfl, rfl⟩ <;>
+  · rw [Matrix.det_fin_two_of, ← h]
+    ring
+
+/-- Given any pair of coprime elements of `R`, there exists a matrix in `SL(2, R)` having those
+entries as its top or bottom row. -/
+lemma exists_SL2_row {a b : R} (hab : IsCoprime a b) (i : Fin 2):
+    ∃ g : SL(2, R), g i 0 = a ∧ g i 1 = b := by
+  obtain ⟨u, v, h⟩ := hab
+  refine match i with
+  | 0 => ⟨⟨!![a, b; -v, u], ?_⟩, rfl, rfl⟩
+  | 1 => ⟨⟨!![v, -u; a, b], ?_⟩, rfl, rfl⟩ <;>
+  · rw [Matrix.det_fin_two_of, ← h]
+    ring
+
+/-- A vector with coprime entries, right-multiplied by a matrix in `SL(2, R)`, has
+coprime entries. -/
+lemma vecMulSL {v : Fin 2 → R} (hab : IsCoprime (v 0) (v 1)) (A : SL(2, R)) :
+    IsCoprime (vecMul v A.1 0) (vecMul v A.1 1) := by
+  obtain ⟨g, hg⟩ := hab.exists_SL2_row 0
+  have : v = g 0 := funext fun t ↦ by { fin_cases t <;> tauto }
+  simpa only [this] using isCoprime_row (g * A) 0
+
+/-- A vector with coprime entries, left-multiplied by a matrix in `SL(2, R)`, has
+coprime entries. -/
+lemma mulVecSL {v : Fin 2 → R} (hab : IsCoprime (v 0) (v 1)) (A : SL(2, R)) :
+    IsCoprime (mulVec A.1 v 0) (mulVec A.1 v 1) := by
+  simpa only [← vecMul_transpose] using hab.vecMulSL A.transpose
+
+end IsCoprime
+
 namespace ModularGroup
 
 open MatrixGroups

Adds a term elaborator for congr(...) "congruence quotations". For example, if hf : f = f' and hx : x = x', then we have congr($hf $x) : f x = f' x'. This supports the functions having implicit arguments, and it has support for subsingleton instance arguments. So for example, if s t : Set X are sets with Fintype instances and h : s = t then congr(Fintype.card $h) : Fintype.card s = Fintype.card t works.

Ports the congrm tactic as a convenient frontend for applying a congruence quotation to the goal. Holes are turned into congruence holes. For example, congrm 1 + ?_ uses congr(1 + $(?_)). Placeholders (_) do not turn into congruence holes; that's not to say they have to be identical on the LHS and RHS, but congrm itself is responsible for finding a congruence lemma for such arguments.

Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Moritz Doll <moritz.doll@googlemail.com>

@@ -365,11 +365,10 @@ theorem coe_T_zpow (n : ℤ) : ↑ₘ(T ^ n) = !![1, n; 0, 1] := by
   induction' n using Int.induction_on with n h n h
   · rw [zpow_zero, coe_one, Matrix.one_fin_two]
   · simp_rw [zpow_add, zpow_one, coe_mul, h, coe_T, Matrix.mul_fin_two]
-    -- Porting note: was congrm !![_, _; _, _]
-    ring_nf
+    congrm !![_, ?_; _, _]
+    rw [mul_one, mul_one, add_comm]
   · simp_rw [zpow_sub, zpow_one, coe_mul, h, coe_T_inv, Matrix.mul_fin_two]
-    -- Porting note: was congrm !![_, _; _, _]
-    ring_nf
+    congrm !![?_, ?_; _, _] <;> ring
 #align modular_group.coe_T_zpow ModularGroup.coe_T_zpow
 
 @[simp]

Search&replace MulZeroClass.mul_zero -> mul_zero, MulZeroClass.zero_mul -> zero_mul.

These were introduced by Mathport, as the full name of mul_zero is actually MulZeroClass.mul_zero (it's exported with the short name).

@@ -314,7 +314,7 @@ theorem fin_two_exists_eq_mk_of_apply_zero_one_eq_zero {R : Type*} [Field R] (g
     ∃ (a b : R) (h : a ≠ 0), g = (⟨!![a, b; 0, a⁻¹], by simp [h]⟩ : SL(2, R)) := by
   induction' g using Matrix.SpecialLinearGroup.fin_two_induction with a b c d h_det
   replace hg : c = 0 := by simpa using hg
-  have had : a * d = 1 := by rwa [hg, MulZeroClass.mul_zero, sub_zero] at h_det
+  have had : a * d = 1 := by rwa [hg, mul_zero, sub_zero] at h_det
   refine' ⟨a, b, left_ne_zero_of_mul_eq_one had, _⟩
   simp_rw [eq_inv_of_mul_eq_one_right had, hg]
 #align matrix.special_linear_group.fin_two_exists_eq_mk_of_apply_zero_one_eq_zero Matrix.SpecialLinearGroup.fin_two_exists_eq_mk_of_apply_zero_one_eq_zero

The main difficulty here is that * has a slightly difference precedence to ⬝. notably around smul and neg.

The other annoyance is that ↑U ⬝ A ⬝ ↑U⁻¹ : Matrix m m 𝔸 now has to be written U.val * A * (U⁻¹).val in order to typecheck.

A downside of this change to consider: if you have a goal of A * (B * C) = (A * B) * C, mul_assoc now gives the illusion of matching, when in fact Matrix.mul_assoc is needed. Previously the distinct symbol made it easy to avoid this mistake.

On the flipside, there is now no need to rewrite by Matrix.mul_eq_mul all the time (indeed, the lemma is now removed).

@@ -111,7 +111,7 @@ instance hasInv : Inv (SpecialLinearGroup n R) :=
 #align matrix.special_linear_group.has_inv Matrix.SpecialLinearGroup.hasInv
 
 instance hasMul : Mul (SpecialLinearGroup n R) :=
-  ⟨fun A B => ⟨↑ₘA ⬝ ↑ₘB, by rw [det_mul, A.prop, B.prop, one_mul]⟩⟩
+  ⟨fun A B => ⟨↑ₘA * ↑ₘB, by rw [det_mul, A.prop, B.prop, one_mul]⟩⟩
 #align matrix.special_linear_group.has_mul Matrix.SpecialLinearGroup.hasMul
 
 instance hasOne : One (SpecialLinearGroup n R) :=
@@ -139,7 +139,7 @@ theorem coe_inv : ↑ₘA⁻¹ = adjugate A :=
 #align matrix.special_linear_group.coe_inv Matrix.SpecialLinearGroup.coe_inv
 
 @[simp]
-theorem coe_mul : ↑ₘ(A * B) = ↑ₘA ⬝ ↑ₘB :=
+theorem coe_mul : ↑ₘ(A * B) = ↑ₘA * ↑ₘB :=
   rfl
 #align matrix.special_linear_group.coe_mul Matrix.SpecialLinearGroup.coe_mul
 
@@ -374,7 +374,8 @@ theorem coe_T_zpow (n : ℤ) : ↑ₘ(T ^ n) = !![1, n; 0, 1] := by
 
 @[simp]
 theorem T_pow_mul_apply_one (n : ℤ) (g : SL(2, ℤ)) : ↑ₘ(T ^ n * g) 1 = ↑ₘg 1 := by
-  simp [coe_T_zpow, Matrix.mul, Matrix.dotProduct, Fin.sum_univ_succ]
+  ext j
+  simp [coe_T_zpow, Matrix.vecMul, Matrix.dotProduct, Fin.sum_univ_succ, vecTail]
 #align modular_group.T_pow_mul_apply_one ModularGroup.T_pow_mul_apply_one
 
 @[simp]

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

This has nice performance benefits.

@@ -225,7 +225,7 @@ theorem coe_toGL (A : SpecialLinearGroup n R) : SpecialLinearGroup.toGL A = A.to
 set_option linter.uppercaseLean3 false in
 #align matrix.special_linear_group.coe_to_GL Matrix.SpecialLinearGroup.coe_toGL
 
-variable {S : Type _} [CommRing S]
+variable {S : Type*} [CommRing S]
 
 /-- A ring homomorphism from `R` to `S` induces a group homomorphism from
 `SpecialLinearGroup n R` to `SpecialLinearGroup n S`. -/
@@ -309,7 +309,7 @@ theorem fin_two_induction (P : SL(2, R) → Prop)
   ext i j; fin_cases i <;> fin_cases j <;> rfl
 #align matrix.special_linear_group.fin_two_induction Matrix.SpecialLinearGroup.fin_two_induction
 
-theorem fin_two_exists_eq_mk_of_apply_zero_one_eq_zero {R : Type _} [Field R] (g : SL(2, R))
+theorem fin_two_exists_eq_mk_of_apply_zero_one_eq_zero {R : Type*} [Field R] (g : SL(2, R))
     (hg : (g : Matrix (Fin 2) (Fin 2) R) 1 0 = 0) :
     ∃ (a b : R) (h : a ≠ 0), g = (⟨!![a, b; 0, a⁻¹], by simp [h]⟩ : SL(2, R)) := by
   induction' g using Matrix.SpecialLinearGroup.fin_two_induction with a b c d h_det

• depends on: #5966

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

@@ -2,16 +2,13 @@
 Copyright (c) 2020 Anne Baanen. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Anne Baanen
-
-! This file was ported from Lean 3 source module linear_algebra.matrix.special_linear_group
-! leanprover-community/mathlib commit f06058e64b7e8397234455038f3f8aec83aaba5a
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.LinearAlgebra.GeneralLinearGroup
 import Mathlib.LinearAlgebra.Matrix.Adjugate
 import Mathlib.LinearAlgebra.Matrix.ToLin
 
+#align_import linear_algebra.matrix.special_linear_group from "leanprover-community/mathlib"@"f06058e64b7e8397234455038f3f8aec83aaba5a"
+
 /-!
 # The Special Linear group $SL(n, R)$
 

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>

@@ -309,7 +309,7 @@ theorem fin_two_induction (P : SL(2, R) → Prop)
     (g : SL(2, R)) : P g := by
   obtain ⟨m, hm⟩ := g
   convert h (m 0 0) (m 0 1) (m 1 0) (m 1 1) (by rwa [det_fin_two] at hm)
-  ext (i j); fin_cases i <;> fin_cases j <;> rfl
+  ext i j; fin_cases i <;> fin_cases j <;> rfl
 #align matrix.special_linear_group.fin_two_induction Matrix.SpecialLinearGroup.fin_two_induction
 
 theorem fin_two_exists_eq_mk_of_apply_zero_one_eq_zero {R : Type _} [Field R] (g : SL(2, R))

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Parcly Taxel <reddeloostw@gmail.com>

@@ -314,7 +314,7 @@ theorem fin_two_induction (P : SL(2, R) → Prop)
 
 theorem fin_two_exists_eq_mk_of_apply_zero_one_eq_zero {R : Type _} [Field R] (g : SL(2, R))
     (hg : (g : Matrix (Fin 2) (Fin 2) R) 1 0 = 0) :
-    ∃ (a b : R)(h : a ≠ 0), g = (⟨!![a, b; 0, a⁻¹], by simp [h]⟩ : SL(2, R)) := by
+    ∃ (a b : R) (h : a ≠ 0), g = (⟨!![a, b; 0, a⁻¹], by simp [h]⟩ : SL(2, R)) := by
   induction' g using Matrix.SpecialLinearGroup.fin_two_induction with a b c d h_det
   replace hg : c = 0 := by simpa using hg
   have had : a * d = 1 := by rwa [hg, MulZeroClass.mul_zero, sub_zero] at h_det

Co-authored-by: Vierkantor <vierkantor@vierkantor.com>

@@ -96,7 +96,7 @@ section CoeFnInstance
 
 /-- This instance is here for convenience, but is literally the same as the coercion from
 `hasCoeToMatrix`. -/
-instance : CoeFun (SpecialLinearGroup n R) fun _ => n → n → R where coe A := ↑ₘA
+instance instCoeFun : CoeFun (SpecialLinearGroup n R) fun _ => n → n → R where coe A := ↑ₘA
 
 end CoeFnInstance
 

Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com> Co-authored-by: Matthew Ballard <matt@mrb.email> Co-authored-by: Chris Hughes <chrishughes24@gmail.com> Co-authored-by: Vierkantor <vierkantor@vierkantor.com>